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Chapter 8: Q 33 (page 478)

The 95% confidence interval is:__________________.

Short Answer

Expert verified

The 95% confidence interval is [24.52,36.28]

Step by step solution

01

Given Information

The sample mean is 30.4minutes, that is, x炉=30.4

The random sample of 25 winter students was selected, that is, n=25

The population standard deviation is 15, that is, 蟽=15

we have to find the 95% confidence interval

02

Calculation 1

Now calculate the confidence interval using TI83 calculator using the steps given below,

Step 1: Press STAT and use the arrow (?) to TESTS.

Step 2: Now press the arrow ( 鈫�)to 7 : ZInterval and press enter.

Step 3: Then use the arrow (鈫�)to STATS and press enter.

03

Step  3 Calculation 2

Step 4: Now press the arrow (?) and enter the inputs as shown below,

04

Calculation 3

Step 5: Then press the arrow (?) to calculator and press enter. The output is given below,

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Most popular questions from this chapter

A random sample of statistics students were asked to estimate the total number of hours they spend watching television in an average week. The responses are recorded in Table 8.4. Use this sample data to construct a 98% confidence interval for the mean number of hours statistics students will spend watching television in one week.

0
3
1
20
9
5
10
1
10
4
14
2
4
4
5

Table8.4

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X = the number of shots that scored points.

a. What is the probability distribution for X?

b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

c. Use your calculator to find the probability that DeAndre scored with 60 of these shots.

d. Find the probability that DeAndre scored with more than 50 of these shots

Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum

magazines. The mean length of the conferences was 3.94 days, with a standard deviation of 1.28 days. Assume the

underlying population is normal.

a. In words, define the random variables X and X

b. Which distribution should you use for this problem? Explain your choice.

c. Construct a 95% confidence interval for the population mean length of engineering conferences.

I. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

In words, define the random variable X.

Construct a 95% confidence interval for the population mean weight of the heads of lettuce. State the confidence interval, sketch the graph and calculate the error bound.
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