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. Give appropriate null and alternative hypotheses. Null hypothesis H0: µ =13 minutes Alternative hypothesis H1: µ =/13 minutes Find the p value for this test. The p value: Click or tap here to enter text. What decision should be made about the hypotheses? Give evidence for your choice. Click or tap here to enter text. Table 2: One sample t-test results Variable Mean 14.72 Variance 34.38 Observations 60.00 Hypothesized Mean Difference 0.00 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

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.

  • Give appropriate null and alternative hypotheses.

Null hypothesis H0: µ =13 minutes

Alternative hypothesis H1: µ =/13 minutes

 

  • Find the p value for this test.

The p value: Click or tap here to enter text.

 

  • What decision should be made about the hypotheses? Give evidence for your choice.

Click or tap here to enter text.

 

Table 2: One sample t-test results

 

 

Variable

Mean

14.72

Variance

34.38

Observations

60.00

Hypothesized Mean Difference

0.00

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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