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Most dermatologists recommend that the ideal shower lasts approximately 10 minutes. A researcher suspects that the average shower length of high school students is greater than 10 minutes. To test the belief, the researcher surveyed 125 randomly selected high school students and found that their average shower length was 14. 7 minutes. With all conditions for inference met, a hypothesis test was conducted at the significance level of α=0. 05, and the test produced a p-value of 0. 0. Which of the following is an appropriate conclusion?

Sagot :

The appropriate conclusion of the hypothesis is; The researcher has statistical evidence to conclude that the population mean shower length for high school students is greater than 10 minutes.

What is the conclusion of the hypothesis?

We are given;

Sample size; n = 125

Population mean; μ = 10 minutes

Sample Mean; x' = 14.7 minutes

Now, we are told that the hypothesis was carried out and the p-value was 0. Now, the significance level is  α = 0. 05 and this means that the p-value is less than the significance level.

In conclusion, we will reject the null hypothesis and conclude that there is sufficient evidence to conclude that the population mean shower length for high school students is greater than 10 minutes.

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