1) Construct the indicated confidence interval for the population mean using thet-distribution. Assume the population is normally distributed.

c=0.90, x=13.1, s=3.0, n=8

(......),(.......)

2)Construct the indicated confidence interval for the population mean using thet-distribution. Assume the population is normally distributed.

c=0.90, x=12.4, s=0.66, n=19

(.....),(......)

3)In a survey of 2498 adults in a recentyear, 1473 say they have made a NewYear's resolution.

Construct90% and95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

(......),(......)

4)In a survey of 2019 adults in a recentyear, 730 made a NewYear's resolution to eat healthier.

Construct90% and95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

(.....),(.....)

5)In a survey of 2344 adults, 740 say they believe in UFOs.

Construct a 99% confidence interval for the population proportion of adults who believe in UFOs.

A 99% confidence interval for the population proportion is (.......),(.......)

6)A researcher wishes toestimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 4% of the true proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample sizeneeded, using a prior study that found that 26% of the respondents said they think Congress is doing a good or excellent job.

(c) Compare the results from parts(a) and(b).

7)A researcher wishes toestimate, with 99% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms(GMOs). Her estimate must be accurate within 4% of the true proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample sizeneeded, using a prior study that found that 85% of the respondents said they support labeling legislation for GMOs.

(c) Compare the results from parts(a) and(b).

8)A random sample of 90 eighth gradestudents' scores on a national mathematics assessment test has a mean score of 279. This test result prompts a state school administrator to declare that the mean score for thestate's eighth graders on this exam is more than 275. Assume that the population standard deviation is 33. At =0.15, is there enough evidence to support theadministrator's claim? Complete parts(a) through(e).

(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.

(b) find the standard test statistic z, its corresponding area

(c) find the p-value

(d) decide whether to reject or fail to reject of the original claim

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

9)A nutritionist claims that the mean tuna consumption by a person is 3.7 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.6 pounds per year. Assume the population standard deviation is 1.17 pounds. At =0.1, can you reject theclaim?

(a) Identify the null hypothesis and alternative hypothesis.

(b) find the standard test statistic z, its corresponding area

(c) find the p-value

(d) decide whether to reject or fail to reject of the original claim

10)A company that makes cola drinks states that the mean caffeine content per12-ounce bottle of cola is 40 milligrams. You want to test this claim. During yourtests, you find that a random sample of thirty12-ounce bottles of cola has a mean caffeine content of 40.5 milligrams. Assume the population is normally distributed and the population standard deviation is 6.6 milligrams. At =0.09, can you reject thecompany's claim? Complete parts(a) through(e).

(a) Identify H0 and Ha.

(b) find the standard test statistic z, its corresponding area

(c) find the p-value

(d) decide whether to reject or fail to reject of the original claim