Question

this is a z test Jane parks at the same meter every day she goes to work. Lately she has been getting parking tickets because the time has expired on the meter. She has been putting in the same amount of money but feels that she has been getting less time on the meter. Before she complains to the city, she decides to collect some data to try to convince the city to fix the meter. One quarter is supposed to give her 2 hours or 120 minutes. Assume that standard deviation = 10.5 minutes. After timing the meter for 25 working days, she finds that the meter expires after a mean of 110 minutes At the 0.01 level of significance, would Jane be able to convince the city that the meter is broken? a) what is the research problem? b) State null and alternate hypothesis c) Is this a one or two-tailed test? why? d) what is the critical value? e) what is the decision rule? f) calculate the statistic? g) what is your decision regarding null hypothesis and why? h) interpretation of results? I am trying to check my work.

Answer 1

A)The problem is to prove that the meter breaks down before the given time

B)Null Hypothesis ,H₀

Alternative Hypothesis ,H_a

C)This is a one trailer test since the alternative hypothesis is of lesser than type

D)The critical value at .01 level of significance is 2.33

E)The decision rule is reject Ho if calculated z value is greater than critical value

F)The test statisitic is given as z= | x(bar) -mu | / s/√n = | 110-120 |/10.5/√25= 4.76

G)Since the calculated value is greater than critical value reject the null hypothesis

H)Jane would able to convince the city since there is significant difference between sample mean and population mean