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# Determine the​ t-value in each of the

cases.

LOADING…

Click the icon to view the table of areas under the​ t-distribution.

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​(a) Find the​ t-value such that the area in the right tail is 0.05

0.05 with 19

19 degrees of freedom.

nothing

​(Round to three decimal places as​ needed

An interactive poll found that 399

399 of 2 comma 349

2,349 adults aged 18 or older have at least one tattoo.

​(a) Obtain a point estimate for the proportion of adults who have at least one tattoo.

​(b) Construct a 95

95​% confidence interval for the proportion of adults with at least one tattoo.

​(c) Construct a 99

99​% confidence interval for the proportion of adults with at least one tattoo.

​(d) What is the effect of increasing the level of confidence on the width of the​ interval?

​(a) ModifyingAbove p with caret

pequals

=

nothing

​(Round to three decimal places as​ neede

A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 1069

1069 people age 15 or​ older, the mean amount of time spent eating or drinking per day is 1.33

1.33 hours with a standard deviation of 0.66

0.66 hour. Complete parts ​(a) through ​(d) below.

​(a) A histogram of time spent eating and drinking each day is skewed right. Use this result to explain why a large sample size is needed to construct a confidence interval for the mean time spent eating and drinking each day.

A.

Since the distribution of time spent eating and drinking each day is not normally distributed​ (skewed right), the sample must be large so that the distribution of the sample mean will be approximately normal.

B.

The distribution of the sample mean will never be approximately normal.

C.

The distribution of the sample mean will always be approximately normal.

D.

Since the distribution of time spent eating and drinking each day is normally​ distributed, the sample must be large so that the distribution of the sample mean will be approximately normal