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1. Find the compliment of the...

1. Find the compliment of the claim. U>=256. Which is H0 and which is Ha?

2. A null and alternative hypothesis are given. Determine whether the hypothesis test is left tailed, right tailed, or two tailed.

H0: =32 Ha: =/ 3.2. What type of test is being conducted in this problem?

3. A light bulb manufacturer claims that the mean of a certain type of light bulb is less than 775 hours. Give the correct null and alternative hypothesis. Identify which one is the claim.

4. The standard deviation of the base price of a certain type of car is no more than $1200. Give the correct null and alternative hypothesis. Identify which one is the claim.

5. More than 20% of homeowners have a home security system.

The hypothesis test is____tailed because the _____ hypothesis contains >

6. A film developer claims the mean number of pictures developed from a camera with 27 exposures is more than 23. If a hypothesis test is performed, how should you interpret a decision that (a.) rejects the null hypothesis and (b.) fails to reject the null hypothesis?

7. Two tailed test with test statistic z= -1.68 and a =0.08. Find the P value and state your conclusion (either reject H0 or fail to reject H0)

8. Find the critical z values. Assume the normal distribution applies.

Right tailed test: a=0.02

9. Find the critical value(s) for a left tailed z test with a= 0.05

10. Claim: u=50, a= 0.08. Sample statistics: x= 48.8, s=3.45, n=70

Give the null and alternative hypotheses (H0: Ha: )

The standardized statistic is:_____

The critical value is:_____

The critical values are +/-_____

Determine the outcome and conclusion of the test. (reject or fail to reject)

11. Claim: u =/ 6000: a=0.06, sample stats: x = 5800, s=402, n=34

Give the null and alternative hypotheses (H0: Ha: )

The standardized statistic is:_____

The critical value is:_____

The critical values are +/-_____

Determine the outcome and conclusion of the test. (reject or fail to reject)

12. A random sample of 75 eight grade students’ scores on a national math assessment test has a mean score of 268 with a standard deviation of 35. This test result prompts a state school administrator to declare that the mean score for the state’s eight graders on this exam is more than 260. At a=0.14, is there enough evidence to support the administrators claim?

(a) Write the claim mathematically and identify H0 and Ha

(b) Find the standardized test statistic z and its corresponding area

(c) Find the p value

(d) Decide whether to fail or reject the null hypothesis

(e) Interpret your decision: At the 14% significance level, there ____ enough evidence to ____ the administrators claim that the mean score of the eight graders on the exam is more than 260.

13. A company that makes cola drinks states the mean caffeine content per 12 ounce bottle of cola is 40 mg. You want to test this claim. During your tests you find that a random sample of thirty 12 ounce bottles of cola has a mean caffeine content of 38.7mg with a standard deviation of 6.4mg. At a=0.05, can you reject the company’s claim?

(a) Identify H0 and Ha

(b) The critical value is___ the critical values are +/- ____

(c) Z=

(d) Since z (is /is not) in the rejection region, (reject/fail to reject) the null hypothesis

(e) At the 5% significance level, there (is/is not) enough evidence to (support/reject) the company’s claim that the mean caffeine content per 12 ounce bottle of cola is (less than/greater than/different from/equal to) _____mg.

14. A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 900 hours. A random sample of 40 light bulbs has a mean life of 877 hours with a standard deviation of 65 hours. Do you have enough evidence to reject the manufacturers claim?

Use a = 0.04.

(a) Identify H0 and Ha

(b) Identify z 0

(c) Identify z

(d) (reject/fail to reject) H0. There (is/is not) sufficient evidence to reject the claim that mean bulb life is at least 900 hours.

15. An environmentalist estimates that the mean wast recycled by adults in the country Is more than 1 pound per person per day. You want to test this claim. You find that the mean waste recycled per person per day for a random sample of 9 adults in the country is 1.7 pounds and the standard deviation is 0.3 pound. At a=0.10, can you support the calim? Assume the population is normally distributed.

(a) H0: Ha:

(b) What is(are) the critical values(s)T0=

(c) Find the standardized test statistic T=

(d) (reject/fail to reject) H0 because the standardized test statistic (is/is not) in the rejection region.

(e) There (is/is not) sufficient evidence to support the claim that the mean waste recycled is (more than/less than) one pond per person per day.

16. A country is considering raising the speed limit on a road because they claim that the mean speed of a vehicle is less than 40 mph. A random sample of 20 vehicles has a mean speed of 44 mph and a standard deviation of 4.6 mph. At a=0.10, do you have enough evidence to support the country’s claim?

(a) H0: Ha:

(b) Calculate the standardized test statistic. t=

Find the critical value(s) t0=

P- value=

(c) (reject/fail to reject) because the P value is (greater than/less than) the significance level of 0.10.

(d) There is (sufficient/not sufficient) evidence to support the country’s claim that the mean speed of vehicles is (greater than/less than) 40 miles per hour.

17. A travel association claims that the mean daily meal cost for two adults traveling together on a vacation is $100. A random sample of 15 such groups of adults has a mean daily meal cost of $105 and a standard deviation of $8.50.

(a) H0: Ha:

(b) Calculate the standard test statistic t=

Find the critical value(s) t0=

P value=

(c)(reject/fail to reject H0) because the P value is (greater than/less than) the significance level of 0.01.

(d)There (is/is not) sufficient evidence in the 1% level of significance to reject the travel association’s claim that the mean daily meal cost for two adults traveling on vacation (is/is not) $100.

18. Claim: p =/ 0.23,a=0.01: sample statistics: p=0.17, n=144

Can the normal sampling distribution be used? Why?

H0: Ha:

Determine the critical value(s) or state that the test cannot be performed.

Determine the z-test statistic or state that the test cannot be performed.

What is the result of the test? (reject/fail to reject) H0. The data (provide/do not provide) sufficient evidence to support the claim. OR The test cannot be performed

2. A null and alternative hypothesis are given. Determine whether the hypothesis test is left tailed, right tailed, or two tailed.

H0: =32 Ha: =/ 3.2. What type of test is being conducted in this problem?

3. A light bulb manufacturer claims that the mean of a certain type of light bulb is less than 775 hours. Give the correct null and alternative hypothesis. Identify which one is the claim.

4. The standard deviation of the base price of a certain type of car is no more than $1200. Give the correct null and alternative hypothesis. Identify which one is the claim.

5. More than 20% of homeowners have a home security system.

The hypothesis test is____tailed because the _____ hypothesis contains >

6. A film developer claims the mean number of pictures developed from a camera with 27 exposures is more than 23. If a hypothesis test is performed, how should you interpret a decision that (a.) rejects the null hypothesis and (b.) fails to reject the null hypothesis?

7. Two tailed test with test statistic z= -1.68 and a =0.08. Find the P value and state your conclusion (either reject H0 or fail to reject H0)

8. Find the critical z values. Assume the normal distribution applies.

Right tailed test: a=0.02

9. Find the critical value(s) for a left tailed z test with a= 0.05

10. Claim: u=50, a= 0.08. Sample statistics: x= 48.8, s=3.45, n=70

Give the null and alternative hypotheses (H0: Ha: )

The standardized statistic is:_____

The critical value is:_____

The critical values are +/-_____

Determine the outcome and conclusion of the test. (reject or fail to reject)

11. Claim: u =/ 6000: a=0.06, sample stats: x = 5800, s=402, n=34

Give the null and alternative hypotheses (H0: Ha: )

The standardized statistic is:_____

The critical value is:_____

The critical values are +/-_____

Determine the outcome and conclusion of the test. (reject or fail to reject)

12. A random sample of 75 eight grade students’ scores on a national math assessment test has a mean score of 268 with a standard deviation of 35. This test result prompts a state school administrator to declare that the mean score for the state’s eight graders on this exam is more than 260. At a=0.14, is there enough evidence to support the administrators claim?

(a) Write the claim mathematically and identify H0 and Ha

(b) Find the standardized test statistic z and its corresponding area

(c) Find the p value

(d) Decide whether to fail or reject the null hypothesis

(e) Interpret your decision: At the 14% significance level, there ____ enough evidence to ____ the administrators claim that the mean score of the eight graders on the exam is more than 260.

13. A company that makes cola drinks states the mean caffeine content per 12 ounce bottle of cola is 40 mg. You want to test this claim. During your tests you find that a random sample of thirty 12 ounce bottles of cola has a mean caffeine content of 38.7mg with a standard deviation of 6.4mg. At a=0.05, can you reject the company’s claim?

(a) Identify H0 and Ha

(b) The critical value is___ the critical values are +/- ____

(c) Z=

(d) Since z (is /is not) in the rejection region, (reject/fail to reject) the null hypothesis

(e) At the 5% significance level, there (is/is not) enough evidence to (support/reject) the company’s claim that the mean caffeine content per 12 ounce bottle of cola is (less than/greater than/different from/equal to) _____mg.

14. A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 900 hours. A random sample of 40 light bulbs has a mean life of 877 hours with a standard deviation of 65 hours. Do you have enough evidence to reject the manufacturers claim?

Use a = 0.04.

(a) Identify H0 and Ha

(b) Identify z 0

(c) Identify z

(d) (reject/fail to reject) H0. There (is/is not) sufficient evidence to reject the claim that mean bulb life is at least 900 hours.

15. An environmentalist estimates that the mean wast recycled by adults in the country Is more than 1 pound per person per day. You want to test this claim. You find that the mean waste recycled per person per day for a random sample of 9 adults in the country is 1.7 pounds and the standard deviation is 0.3 pound. At a=0.10, can you support the calim? Assume the population is normally distributed.

(a) H0: Ha:

(b) What is(are) the critical values(s)T0=

(c) Find the standardized test statistic T=

(d) (reject/fail to reject) H0 because the standardized test statistic (is/is not) in the rejection region.

(e) There (is/is not) sufficient evidence to support the claim that the mean waste recycled is (more than/less than) one pond per person per day.

16. A country is considering raising the speed limit on a road because they claim that the mean speed of a vehicle is less than 40 mph. A random sample of 20 vehicles has a mean speed of 44 mph and a standard deviation of 4.6 mph. At a=0.10, do you have enough evidence to support the country’s claim?

(a) H0: Ha:

(b) Calculate the standardized test statistic. t=

Find the critical value(s) t0=

P- value=

(c) (reject/fail to reject) because the P value is (greater than/less than) the significance level of 0.10.

(d) There is (sufficient/not sufficient) evidence to support the country’s claim that the mean speed of vehicles is (greater than/less than) 40 miles per hour.

17. A travel association claims that the mean daily meal cost for two adults traveling together on a vacation is $100. A random sample of 15 such groups of adults has a mean daily meal cost of $105 and a standard deviation of $8.50.

(a) H0: Ha:

(b) Calculate the standard test statistic t=

Find the critical value(s) t0=

P value=

(c)(reject/fail to reject H0) because the P value is (greater than/less than) the significance level of 0.01.

(d)There (is/is not) sufficient evidence in the 1% level of significance to reject the travel association’s claim that the mean daily meal cost for two adults traveling on vacation (is/is not) $100.

18. Claim: p =/ 0.23,a=0.01: sample statistics: p=0.17, n=144

Can the normal sampling distribution be used? Why?

H0: Ha:

Determine the critical value(s) or state that the test cannot be performed.

Determine the z-test statistic or state that the test cannot be performed.

What is the result of the test? (reject/fail to reject) H0. The data (provide/do not provide) sufficient evidence to support the claim. OR The test cannot be performed

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