The result of a hypothesis is described in terms of the probability of obtaining

Question

The result of a hypothesis is described in terms of the probability of obtaining a particular context to formulate the null and alternative hypotheses. Discuss whether the s rejecting the null hypothesis. sample. Use the given ample provides evidence for 16) A public bus company official claims that the mean waiting time for bus number 14 16) during peak hours is only 10 minutes. Karen finds this hard to believe as she seems to be invariably late for work. For 42 randomly selected days, her mean waiting time for bus 14 during peak hours was 11.3 minutes. Assuming that the population mean waiting time is 10 minutes, the probability of selecting a random sample with a mean waiting time of 11.3 minutes or more is 0.0026 0.006

Explanation / Answer

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: < 10
Alternative hypothesis: > 10

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.01. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

Thus the P-value in this analysis is 0.0026.

Interpret results. Since the P-value (0.0026) is less than the significance level (0.01), we have to reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.