Hypothesis Testing II You think th the average wait time at

Hypothesis Testing II You think th the average wait time at a McDonald\'s drive-through is 10 minutes. level of a 05. You park your car and observe it is not 10 minutes, and decide to gather some data to prove it at a significance times: the following wait Wait Times 12 31. What are the null and alternative hypotheses? 32. What is your t-statistie? Show your work and round to two decimal places (if necessary) 33. What is (are) your t-critical value(s)? 34. In the following figure shade in the area belonging to the 1) significance level a, and 2) the p-value. 0 32 35. What is your conclusion? Use either a t-test or a p-value test.

Solution

Ans 31)

Assumed average wait time is 10 minutes and we are claiming that it is different than 10 minutes

hence null hypothesis is

H0: MeanP=10

And alternate hypothesis is

H1:MeanP=! 10 (=! means not equals to)

ANs 32)

t value will be calculated as (Sample Mean-MeanP)/standard error

Standard error will be calculated as sqrt[Sum(X_-MeanP)^2/(Sample Size)]

t-value=(6.6-10)/(3.781/sqrt(5))=-2.01

Ans 33)

t critical value for 5% significance and df=4 from table 2.776

if calculated t value < critical t value then we can not reject null hypothesis

Hence in this case we can not reject null hypothesis because 2.01<2.776

Therefore wait time is none other than 10 minutes

Ans 35)

p value from calculated t of -2.01 is 0.05799 which states that there are chances to have mean equal to 10 are 0.11479 for 2 tailed test as it can be higher or lower than 10

Hence for p<0.05 we cannot reject null hypothesis