Calculus and Above

Calculus Questions? Ask a Mathematician for Answers ASAP

Connect one-on-one with {0} who will answer your question

1. Assume you need to build...

1. Assume you need to build a confidence interval for a population mean within some given situation. Naturally, you must determine whether you should use either the t-distribution or the z-distribution or possibly even neither based upon the information known/collected in the situation. Thus, based upon the information provided for each situation below, determine which (t-, z- or neither) distribution is appropriate. Then if you can use either a t- or z- distribution, give the associated critical value (critical t- or z- score) from that distribution to reach the given confidence level.

a. 95% confidence n=40 σ unknown population data believed to be normally distributed

Appropriate distribution:

Associated critical value:

b. 99% confidence n=12 σ unknown population data believed to be normally distributed

Appropriate distribution:

Associated critical value:

c. 90% confidence n=150 σ known population data believed to be very skewed

Appropriate distribution:

Associated critical value:

d. 95% confidence n=10 σ unknown population data believed to be skewed right

Appropriate distribution:

Associated critical value:

2. A student researcher is interested in determining the average (µ) GPA of all FHSU students, in order to investigate grade inflation at regional universities. The data below represent the GPA's of thirty randomly selected FHSU students.

2.75 2.65 3.95 1.74 2.66 3.10 2.41 1.57 2.12

4.00 2.21 1.95 3.75 1.45 3.01 2.89 2.66 3.95

2.32 3.44 2.07 0.62 2.72 3.55 3.92 3.41 2.14

a. How do you know that you will need to construct the confidence interval using a t-distribution approach as opposed to a z-distribution?

We want to construct the mean value confidence interval for the GPA's with a 90% confidence level.

b. Determine the best point estimate (average) for the mean GPA.

c. Determine the critical t-value(s) associated with the 90% confidence level.

d. Determine the margin of error.

e. Determine the confidence interval.

f. In a sentence, interpret the contextual meaning of your result to part e above...that is relate the values to this situation regarding the mean GPA's of all FHSU students.

3. Determine the two chi-squared (χ2) critical values for the following confidence levels and sample sizes.

a. 95% and n=60

b. 90% and n=18

4. We are also interested in estimating the population standard deviation (σ) for all FHSU student GPA's. We will assume that GPA's are at least approximately normally distributed. Below are the GPA's.

2.75 2.65 3.95 1.74 2.66 3.10 2.41 1.57 2.12

4.00 2.21 1.95 3.75 1.45 3.01 2.89 2.66 3.95

2.32 3.44 2.07 0.62 2.72 3.55 3.92 3.41 2.14

Out to the right, construct a 90% confidence interval estimate of sigma (σ), the population standard deviation.

5. (Multiple Choice) A hypothesis test is used to test a claim. On a right-tailed hypothesis test with a 1.39 critical value, the collected sample's test statistic is calculated to be 1.89. Which of the following is the correct decision statement for the test?

A. Fail to reject the null hypothesis

B. Claim the alternative hypothesis is true

C. Reject the null hypothesis

D. Claim the null hypothesis is false

6. (Multiple Choice) A hypothesis test is used to test a claim. A P-value of 0.23 is calculated on the hypothesis test with a significance level set at 0.05. Which of the following is the correct decision statement for the test?

A. Fail to reject the null hypothesis

B. Claim the alternative hypothesis is false

C. Reject the null hypothesis

D. Claim the null hypothesis is true

7. (Multiple Choice) Which of the following is not a requirement for using the t-distribution for a hypothesis test concerning μ.

A. Sample is a simple random sample

B. Sample size must be larger than 30

C. The population standard deviation is unknown

a. 95% confidence n=40 σ unknown population data believed to be normally distributed

Appropriate distribution:

Associated critical value:

b. 99% confidence n=12 σ unknown population data believed to be normally distributed

Appropriate distribution:

Associated critical value:

c. 90% confidence n=150 σ known population data believed to be very skewed

Appropriate distribution:

Associated critical value:

d. 95% confidence n=10 σ unknown population data believed to be skewed right

Appropriate distribution:

Associated critical value:

2. A student researcher is interested in determining the average (µ) GPA of all FHSU students, in order to investigate grade inflation at regional universities. The data below represent the GPA's of thirty randomly selected FHSU students.

2.75 2.65 3.95 1.74 2.66 3.10 2.41 1.57 2.12

4.00 2.21 1.95 3.75 1.45 3.01 2.89 2.66 3.95

2.32 3.44 2.07 0.62 2.72 3.55 3.92 3.41 2.14

a. How do you know that you will need to construct the confidence interval using a t-distribution approach as opposed to a z-distribution?

We want to construct the mean value confidence interval for the GPA's with a 90% confidence level.

b. Determine the best point estimate (average) for the mean GPA.

c. Determine the critical t-value(s) associated with the 90% confidence level.

d. Determine the margin of error.

e. Determine the confidence interval.

f. In a sentence, interpret the contextual meaning of your result to part e above...that is relate the values to this situation regarding the mean GPA's of all FHSU students.

3. Determine the two chi-squared (χ2) critical values for the following confidence levels and sample sizes.

a. 95% and n=60

b. 90% and n=18

4. We are also interested in estimating the population standard deviation (σ) for all FHSU student GPA's. We will assume that GPA's are at least approximately normally distributed. Below are the GPA's.

2.75 2.65 3.95 1.74 2.66 3.10 2.41 1.57 2.12

4.00 2.21 1.95 3.75 1.45 3.01 2.89 2.66 3.95

2.32 3.44 2.07 0.62 2.72 3.55 3.92 3.41 2.14

Out to the right, construct a 90% confidence interval estimate of sigma (σ), the population standard deviation.

5. (Multiple Choice) A hypothesis test is used to test a claim. On a right-tailed hypothesis test with a 1.39 critical value, the collected sample's test statistic is calculated to be 1.89. Which of the following is the correct decision statement for the test?

A. Fail to reject the null hypothesis

B. Claim the alternative hypothesis is true

C. Reject the null hypothesis

D. Claim the null hypothesis is false

6. (Multiple Choice) A hypothesis test is used to test a claim. A P-value of 0.23 is calculated on the hypothesis test with a significance level set at 0.05. Which of the following is the correct decision statement for the test?

A. Fail to reject the null hypothesis

B. Claim the alternative hypothesis is false

C. Reject the null hypothesis

D. Claim the null hypothesis is true

7. (Multiple Choice) Which of the following is not a requirement for using the t-distribution for a hypothesis test concerning μ.

A. Sample is a simple random sample

B. Sample size must be larger than 30

C. The population standard deviation is unknown

Show More

Show Less

Was this answer helpful?

Describe your issueThe assistant will guide you

Chat 1:1 with a tutorLicensed Experts are available 24/7

100% satisfaction guaranteeGet all the answers you need

Related Calculus and Above Questions

In a fictional study, a pretest-posttest design was used to

In a fictional study, a pretest-posttest design was used to examine the influence of a television program on children's aggressiveness. The number of aggressive responses was measured during an observ… read more

When to Use What: For each example below you should start to

When to Use What: For each example below you should start to construct a confidence interval by identifying which distribution should be used to find the margin of error. It is possible that you won't… read more

I need assistance understanding and completing this question

i need assistance understanding and completing this question Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test… read more

1. What is the appropriate critical value of the following

1. What is the appropriate critical value for each of the following confidence levels and sample sizes? (Remember that in regard to confidence level this implies two-tails) (a) Critical z-value for an… read more

1. What is the appropriate critical value of the following

1. What is the appropriate critical value for each of the following confidence levels and sample sizes? (Remember that in regard to confidence level this implies two-tails) (a) Critical z-value for an… read more

1) Trails in an experiment with a polygraph include 96

1) Trails in an experiment with a polygraph include 96 results that include 22 case of wrong results and 74 correct results. Use a 0.01 significance level to test the claim that such polygraph results… read more

REMEMBER, these are assessed preparatory problems related to

REMEMBER, these are assessed preparatory problems related to the content of Unit 3. The Unit 3 Exam will consist of similar types of problems, but not exactly the same. Thus, make sure you are thinkin… read more

1. Determine the two chi-squared (χ2) critical values for the

1. Determine the two chi-squared (χ2) critical values for the following confidence levels and sample sizes. a. 95% and n=36 b. 99% and n=18 2. We are also interested in estimating the population stand… read more

Refer to the following information for Questions 21, 22, and

Refer to the following information for Questions 21, 22, and 23. The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet. 21. What is the probabil… read more

1. (Chapter 7: Estimating a Population Proportion) A poll

Attachment: 2014-06-28_022745_work.docx 1. (Chapter 7: Estimating a Population Proportion) A poll sample of 500 people was conducted if they support new initiative. 200 people said yes. Find the margi… read more

Identify the null hypothesis Ho & the alternative hypothesis H1

Identify the null hypothesis Ho and the alternative hypothesis H1. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 1 in every one thousa… read more

9. What is the minimum sample size you should use to assure

9. What is the minimum sample size you should use to assure that your estimate of pq5_7 will be within the required margin of error around the population p? Margin of error: 0.005; confidence level: 9… read more

1. What is the appropriate critical value for each of the following

1. What is the appropriate critical value for each of the following confidence levels and sample sizes? (Remember that in regard to confidence level this implies two-tails) (a) Critical z-value for an… read more

i will also load the screen shot to media fire this one is

i will also load the screen shot to media fire this one is 2 hours cause there are 25 vs 15 questions for the final 1. If Z is a standard normal variable, what is the probability that Z is greater tha… read more

Please help me with this test! I have no idea! :( 5.The

Please help me with this test! I have no idea! :( 5.The test statistic in a two tailed test is z=-1.63. Find the P-value. 6. Assume that a hypothesis test of the given claim will be conducted. Identif… read more

Conduct a two-tailed hypothesis test given the information

Conduct a two-tailed hypothesis test given the information below. Assuming that the population variances are equal for male and female Grade Point Averages (GPAs), use the following sample data to tes… read more

1. What is the appropriate critical value for each of the following1. What is the appropriate critical value for each of the following confidence levels and sample sizes? (Remember that in regard to confidence level this implies two-tails) (a) Critical z-value for an… read more

2)Which of the following hypothesis tests use a z test statistic? A)

2)Which of the following hypothesis tests use a z test statistic? A) Matched Pairs B) Single Proportion C) Two Proportions D) Goodness-of-Fit E) Single Mean: σ Known F) Independence G) Two Variances H… read more

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.

Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.

JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.

Web sites like justanswer.com/legal

...leave nothing to chance.

...leave nothing to chance.

Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.

Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.

I will tell you that...the things you have to go through to be an Expert are quite rigorous.

Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.

Freshfield, Liverpool, UK

This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!!

Los Angeles, CA

Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult.

Hesperia, CA

I couldn't be more satisfied! This is the site I will always come to when I need a second opinion.

Kernersville, NC

Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around.

Woodstock, NY

Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know.

Elkton, Maryland

He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here.

Dallas, TX

< Previous | Next >

Mr. Gregory White

Master's Degree

114 satisfied customers

M.A., M.S. Education / Educational Administration

SusanAthena

Master's Degree

102 satisfied customers

Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.

Dr Arthur Rubin

Doctoral Degree

97 satisfied customers

Ph.D. in Mathematics, 1978, from the California Institute of Technology, over 20 published papers

JACUSTOMER-yrynbdjl-

Master's Degree

42 satisfied customers

I have a MS in Mathematics and I have taught Mathematics for 10 years at the college level.

Don

Master's Degree

29 satisfied customers

M.S. Astronautical Engineering. Math/Sci/Comp Tutor

Kofi

PhD in Statistics

8,735 satisfied customers

Masters in Mathematics and Statistics

Sandhya_sharma

Master's Degree

5,692 satisfied customers

I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.

< Previous | Next >

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.