Question

Previous studies claimed that the population mean DailyReadTime among subjects is 145 minutes, with a population standard deviation of 25 minutes. Based on the data, conduct a hypothesis test BY HAND (with a 1% significance level) to see if there is evidence that the population mean DailyReadTime is greater than 145 minutes. Sample size is 150.

Write down your null and alternative hypotheses. Be sure to use appropriate notation.

Calculate the test statistic and give the probability statement for the test statistic and the p-value.

Answer 1

$\mu$ = 145

$\sigma$ = 25

n = 150

$\bar{x}$ = You have not provided sample mean

H₀: $\mu$ = 145

H₁: $\mu$ > 145

z = ($\bar{x}$ - 145)/25/

LC

Calculate p-value from this z value using z-table and if p-value < 0.01 then reject H₀ otherwise don't.

I would have done the calculations by myself but as you have not given the value of $\bar{x}$ (sample mean) I couldn't. As I thought this question can be easily solved if you input the $\bar{x}$ value in the method given above thus I have given you this template so that you can solve it. I hope you will.

Please upvote if you have liked my answer, would be of great help. Thank you.