1. A large national survey shows that the waiting times for fast food restaurants is approximately normally distributed with a mean of = 3.4

1. A large national survey shows that the waiting times for fast food restaurants is approximately normally distributed with a mean of μ = 3.4 minutes and a standard deviation of σ = 0.6 minutes. A fast food company claims that their mean waiting time in line is less than 3.4 minutes. To test the claim, a random sample of 60 customers is selected, and is found to have a mean of 3.3 minutes. We will use this sample data to test the fast food outlet's claim at a significance level of α = 0.05.

I entered in the answers that I have gotten and left what I am confused about blank:

a)Set up hypotheses Ho and Ha to test the company’s claim.

Claim: M < 3.4 Ho: less than or = to 3.4 Ha: <3.4

Go to STAT >> TESTS, and choose Z-test – select the STATS option and enter the given sample information.

b)State the test statistic and p-value given in the calculator.

Z= -1.219 P= 0.0984

c)Compare the p-value to = .05. State the appropriate decision
(Reject Ho or Fail to reject Ho), along with an explanation.

P=0.0984 < 0.05 Reject Ho

d)What can we conclude about the researcher’s claim?