Question

Joe is trying out a new ride-sharing app, and wonders whether its mean waiting time is less than the 5 minutes that his current app offers. After 30 ride shares, he records an average waiting time of 4.5 minutes, with a sample standard deviation of 3 minutes. (a) Compute the p-value of testing the null that the new app has a mean waiting time of at least 5 minutes. (Hint: in Excel, use the command T.DIST(x,degrees of freedom,true).) (b) What would be the p-values corresponding to each of the sample sizes n = 30, 31, , ..., 99, 100, if the sample mean and standard deviation would stay the same? Create a line plot of these p-values with the sample size on the horizontal axis. (c) What is the smallest sample size for which Joe can reject the null at significance level α = 0.10?

Answer 1

hii.. here i am using Excel to perform this problem but i am also providing the formulas manually which i am using.

we reject Ho when p value is less than alphe. therefore for smallest value of n when p value is less than 0.10 is n=61.

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