A store manager claims that the mean waiting time customers spend in line is les

Question

A store manager claims that the mean waiting time customers spend in line is less than 3.1 minutes. The mean waiting time for a random sample of 23 customers is 1.3 minutes with a standard deviation of 2.6 minutes. Test this claim at the 0.05 significance level. Assume the population is normally distributed. H o : = 3.1 H a : < 3.1 a. What is the test statistic? (Report answer accurate to four decimal places.) test statistic = b. What is the p-value? (Report answer accurate to four decimal places.) p-value =

Explanation / Answer

Sol:

H o : = 3.1

H a : < 3.1

alpha=0.05

test statistic:

t=sample mean-population mean/sample sd/sqrt(sample sizE)

=1.3-3.1/2.6/sqrt(23)

=-3.3202

t=-3.302

test statistic =-3.302

degree of freedom=n-1=23-1=22

The P-Value is .0016

p alue=.0016

The result is significant at p < .05.

REJECT NULL HYPOTHESIS

TEHRE IS SUFFICIENT STATISTICAL EVIDENCE AT 5% LEVEL OF SIGNIFICANCE TO SUPPORT THE CLAIM

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