It is believed that the waiting time for a service has a population mean value of µ =13 minutes. One wants to test whether the population mean is 13 minutes. The waiting time of a sample of 60 services is collected. The significance level alpha is set at 5%. The Excel data analysis results are presented in table 2. 1) Give appropriate null and alternative hypotheses. Null hypothesis H 0 . Alternative hypothesis H 1 2) Find the p value for this test. 3) What decision should be made about the hypotheses? Give evidence for your choice. Table 2: One sample t-test results Variable Mean 14.72 Variance 34.38 Observations 60.00 Hypothesized Mean 0.00 Difference Df 59.00 t Stat 2.27 P(T<=t) one-tail 0.02 t Critical one-tail 1.67 P(T<=t) two-tail 0.04 t Critical two-tail 2.00
Question 3
It is believed that the waiting time for a service has a population
minutes. One wants to test whether the population mean is 13 minutes. The waiting time of a sample of 60 services is collected. The significance level alpha is set at 5%. The Excel data analysis results are presented in table 2.
1) Give appropriate null and alternative hypotheses.
Null hypothesis H 0 .
Alternative hypothesis H 1
2) Find the p value for this test.
3) What decision should be made about the hypotheses? Give evidence for your choice.
Table 2: One sample t-test results
Variable
Mean 14.72
Variance 34.38
Observations 60.00
Hypothesized Mean 0.00
Difference
Df 59.00
t Stat 2.27
P(T<=t) one-tail 0.02
t Critical one-tail 1.67
P(T<=t) two-tail 0.04
t Critical two-tail 2.00
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