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In: Statistics and Probability

2. The table below contains the amount that a sample of nine customers spent for lunch​...

2.

The table below contains the amount that a sample of nine customers spent for lunch​ ($) at a​ fast-food restaurant. Complete parts a and b below.

4.26 5.23 5.67 6.28 7.44 7.51 8.25 8.69 9.61

Construct a 99% confidence interval estimate for the population mean amount spent for lunch at a fast-food restaurant, assuming normal distribution.

The % confidence interval estimate is from $____________to $___________

3.

he table below contains a certain social media​ company's penetration values​ (the percentage of a​ country's population that use this social​ media) for 14 countries. Complete parts a through c below.

31

48

11

11

28

22

22

39

26

26

16

50

40

81

a. Construct a 95​% confidence interval estimate for the population mean social media penetration.The 95​% confidence interval estimate is from

4. In a survey of 2,442 website​ users, 1,871 cited​ "seeing photos or​ videos" as a major reason why they use a​ website, while 1,233 cited​ "keeping up with news and current​ events" as a major reason why they use a website. Complete parts​ (a) through​ (c) below.

Construct a​ 95% confidence interval estimate for the population proportion of website users who cited​ "seeing photos or​ videos" as a major reason why they use a website.

5. If the manager of a bottled water distributor wants to​estimate, with 95% confidence, the mean amount of water in a​1-gallon bottle to within ±0.003 gallons and also assumes that the standard deviation is 0.05 ​gallons, what sample size is​needed?

n=?

6.In a study of 402 nonprofits​ nationwide, 80 indicated that turnover has been the biggest employment challenge at their organization. Complete parts​ (a) through​ (c).

Construct a 95% confidence interval for the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization.

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