HW 7.2

#1 Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H₀ for the given level of significance .

Right-tailed test with test statistic z=1.92 and =0.04

(Round to four decimal places as needed.)

#2 Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H₀ for the given level of significance .

Right-tailed test with test statistic z=1.64 and =0.02

(Round to four decimal places as needed.)

#3 Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0 for the given level of significance .

Two-tailed test with test statistic z=1.69 and =0.04

(Round to four decimal places as needed.)

#4 Find the critical value(s) and rejection region(s) for the type of z-test with level of significance . Include a graph with your answer.

Right-tailed test, =0.01

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

#5 Find the critical value(s) and rejection region(s) for the type of z-test with level of significance . Include a graph with your answer.

Two-tailed test, =0.03

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

#5 Test the claim about the population mean, , at the given level of significance using the given sample statistics. Claim: =40; =0.06; =3.49. Sample statistics: x=39.3, n=79

(a) Identify the null and alternative hypotheses.

(b) Calculate the standardized test statistic.

(c) Determine the critical value(s)

(d) Determine the outcome and conclusion of the test.

#6 A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.05 pounds. At =0.04, can you reject the claim?

(a) Identify the null and alternative hypotheses.

(b) Calculate the standardized test statistic.

(c) Determine the critical value(s)

(d) Determine the outcome and conclusion of the test.

#7 A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 725 hours. A random sample of 21 light bulbs has a mean life of 708 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At =0.05,

do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).

(a) Identify the null hypothesis and alternative hypothesis.

(b) Identify the critical value(s) and rejection region(s).

(c) Identify the standardized test statistic.

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

(e) interpret the decision in the context of the original claim.

#8 Use technology to help you test the claim about the population mean, ,

at the given level of significance, , using the given sample statistics. Assume the population is normally distributed. Claim: >1290; =0.01; =203.81. Sample statistics: x=1308.79, n=250

(a) Identify the null and alternative hypotheses.

(b) Calculate the standardized test statistic.

(c) Determine the critical value(s)

(d) Determine the outcome and conclusion of the test.

#9 A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. 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 45.6 milligrams. Assume the population is normally distributed and the population standard deviation is 6.3

milligrams. At =0.08, can you reject the company's claim? Complete parts (a) through (e).

(a) Identify the null hypothesis and alternative hypothesis.

(b) Identify the critical value(s) and rejection region(s).

(c) Identify the standardized test statistic.

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

(e) interpret the decision in the context of the original claim.

#10 A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 919 milligrams. A random sample of 58 breakfast sandwiches has a mean sodium content of 911 milligrams. Assume the population standard deviation is 19 milligrams. At =0.05, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e)

(a) Identify the null hypothesis and alternative hypothesis.

(b) Identify the critical value(s) and rejection region(s).

(c) Identify the standardized test statistic.

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

(e) interpret the decision in the context of the original claim.