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A report by the Gallup Poll found that a woman visits her doctor, on average, at most5.8times each year. A random sample of 20women results in these yearly visit totals

3;2;1;3;7;2;9;4;6;6;8;0;5;6;4;2;1;3;4;1

At the α = 0.05 level can it be concluded that the sample mean is higher than 5.8visits per year?

Short Answer

Expert verified

There is insufficient evidence to conclude that the mean is higher than5.8visits per year.

Step by step solution

01

Given information 

Given that the average number of times a women visits her doctor is5.8

02

Explanation

In the right-tailed test, reject the null hypothesis if p-value<0.05.

The null hypothesis states that the mean number of visits per year is less than or equal to5.8

H0:μ≤5.8

The alternative hypothesis suggests that the average number of visits per year is more than localid="1650624946822" 5.8

Ha:μ>5.8

Since the localid="1650464085153" p-value=0.998is greater than 0.05. We can't conclude whether the sample mean is more than localid="1650624937866" 5.8trips per year.

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