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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. Identify type 1 error for the test.An entomologist writes an article in a scientific journal which claims that fewer than 18 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Identify the type I error for the test.

Identify the null hypothesis, alternative hypothesis, test statistic, P -value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

7) In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that

more than half of all those using the drug experience relief. [Hint: use your calculator]

H0:

H1:

Test Statistic: P-value = Reject H0?

State final conclusion:

￼￼￼￼￼￼￼1

Identify the null hypothesis, alternative hypothesis, test statistic, P -value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

8) Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, x = 226,450 miles, and

s = 11,500 miles. Use a significance level of α = 0.01. [Hint: use your calculator]

H0:

H1:

Critical Value: Test Statistic: P-value = Reject H0?

State final conclusion:

Identify the null hypothesis, alternative hypothesis, critical value(s), test statistic, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the traditional method.

9) According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent, test the

claim that the actual percentage is 53%. Use a 0.10 significance level.

H0:

H1:

Critical Value(s): Test Statistic:

Reject H0?

State final conclusion:

￼￼￼￼

Identify the null hypothesis, alternative hypothesis, critical value(s), test statistic, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the traditional method.

10) When 12 bolts are tested for hardness, their indexes have a standard deviation of 41.7. Test the claim that the standard deviation of the hardness indexes for all such bolts is greater than 30.0. Use a 0.025 level of significance.

H0:

H1:

Critical Value(s):

Test Statistic: Reject H0?

State final conclusion:

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution.

11) The mean replacement time for a random sample of 20 washing machines is 10.5 years and the standard deviation is 2.4 years. Construct a 99% confidence interval for the standard deviation, σ, of the replacement times of all washing machines of this type.

Provide an appropriate response. (12-16)

12) A survey of 700 non-fatal accidents showed that 163 involved uninsured drivers. Construct a 99% confidence interval for the proportion of fatal accidents that involved

uninsured drivers. Round to the nearest thousandth.

13) In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system to a semester-system. How many students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval?

14) Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A sample of 25 randomly English majors has a mean test score

of 81.5 with a standard deviation of 10.2. Round to the nearest hundredth.

￼￼￼￼￼￼

15) The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. How large a sample

is needed if the principal would like to assert with 90% confidence that the sample mean is

off by, at most, 7 minutes. Assume that s = 14 minutes based on previous studies.

16) It has been estimated that the G-car obtains a mean of 40 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds this estimate in highway driving. To support its assertion, the company randomly selects 36 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the

estimate. The following data resulted: x = 41.5 miles per gallon, s = 6 miles per gallon. Calculate the value of β if the true value of the mean is really 42 miles per gallon. Use

α = 0.025.

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. Identify type 1 error for the test.An entomologist writes an article in a scientific journal which claims that fewer than 18 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Identify the type I error for the test.

Identify the null hypothesis, alternative hypothesis, test statistic, P -value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

7) In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that

more than half of all those using the drug experience relief. [Hint: use your calculator]

H0:

H1:

Test Statistic: P-value = Reject H0?

State final conclusion:

￼￼￼￼￼￼￼1

Identify the null hypothesis, alternative hypothesis, test statistic, P -value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

8) Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, x = 226,450 miles, and

s = 11,500 miles. Use a significance level of α = 0.01. [Hint: use your calculator]

H0:

H1:

Critical Value: Test Statistic: P-value = Reject H0?

State final conclusion:

Identify the null hypothesis, alternative hypothesis, critical value(s), test statistic, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the traditional method.

9) According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent, test the

claim that the actual percentage is 53%. Use a 0.10 significance level.

H0:

H1:

Critical Value(s): Test Statistic:

Reject H0?

State final conclusion:

￼￼￼￼

Identify the null hypothesis, alternative hypothesis, critical value(s), test statistic, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the traditional method.

10) When 12 bolts are tested for hardness, their indexes have a standard deviation of 41.7. Test the claim that the standard deviation of the hardness indexes for all such bolts is greater than 30.0. Use a 0.025 level of significance.

H0:

H1:

Critical Value(s):

Test Statistic: Reject H0?

State final conclusion:

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution.

11) The mean replacement time for a random sample of 20 washing machines is 10.5 years and the standard deviation is 2.4 years. Construct a 99% confidence interval for the standard deviation, σ, of the replacement times of all washing machines of this type.

Provide an appropriate response. (12-16)

12) A survey of 700 non-fatal accidents showed that 163 involved uninsured drivers. Construct a 99% confidence interval for the proportion of fatal accidents that involved

uninsured drivers. Round to the nearest thousandth.

13) In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system to a semester-system. How many students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval?

14) Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A sample of 25 randomly English majors has a mean test score

of 81.5 with a standard deviation of 10.2. Round to the nearest hundredth.

￼￼￼￼￼￼

15) The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. How large a sample

is needed if the principal would like to assert with 90% confidence that the sample mean is

off by, at most, 7 minutes. Assume that s = 14 minutes based on previous studies.

16) It has been estimated that the G-car obtains a mean of 40 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds this estimate in highway driving. To support its assertion, the company randomly selects 36 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the

estimate. The following data resulted: x = 41.5 miles per gallon, s = 6 miles per gallon. Calculate the value of β if the true value of the mean is really 42 miles per gallon. Use

α = 0.025.

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