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# Interpret confidence intervals for average daily exercise times

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Calculate and interpret the following confidence intervals

1) 95% CI for the average daily exercise time of males
2) 99% CI for the average daily exercise time of females

Data (in minutes):
males (15):
60
40
50
90
50
60
10
10
35
70
43
25
15
25
30

females (15):
45
55
60
60
40
70
10
25
40
38
20
35
20
45
20

Then calculate finite population correction factor if the population size is 400. Are the correction factors same or different for the two variables? Justify

https://brainmass.com/statistics/confidence-interval/interpret-confidence-intervals-average-daily-exercise-times-318259

#### Solution Preview

calculate and interpret the following confidence intervals
1) 95% CI for the average daily exercise time of males
With 95% confidence level, α=0.05, and the corresponding critical value, or z-score isz_(α/2)=1.96
So (X ̅-1.96 s/√15,X ̅+1.96 s/√15)= (40.87-1.96 ...

#### Solution Summary

The expert interpret confidence intervals for average daily exercise times.

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## Confidence Intervals and Hypothesis Test.

The mean and standard deviation of the sample of 65 customer satisfaction ratings are x-bar = 42.95 and s = 2.6424. If we let "mu" denote the mean of all possible customer satisfaction ratings:

a) Calculate 95 and 99 percent confidence intervals for "mu".
b) Using the 95 percent confidence interval, can we be 95% confident that "mu" is greater than 42? Explain>

Suppose we wish to test H0: p = .8 versus Ha: p > .8 and that a random sample of n = 400 gives a
sample proportion = .86.
a Test H0 versus Ha at the .05 level of significance by using a rejection point. What do you conclude?

b Find the p-value for this test.

c Use the p-value to test H0 versus Ha by setting alpha equal to .10, .05, .01, and .001. What do you
conclude at each value of alpha?

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