Do the following question using the large-sample version of the test statistic:

Question

Do the following question using the large-sample version of the test statistic:

A random sample of 15 automobile mechanics certified to work on a certain type of car was selected, and the time (in minutes) necessary for each one to diagnose a particular problem was determined, resulting in the fol- lowing data: 30.6 30.1 15.6 26.7 27.1 25.4 35.0 30.8 31.9 53.2 12.5 23.2 8.8 24.930.2 Use the Wilcoxon test at significance level .10 to decide whether the data suggests that true average diagnostic time is less than 30 minutes.

Explanation / Answer

Result:

MINITAB used.

Lower tail test.

Wilcoxon Signed Rank Test: time

Method

: median of time

Descriptive Statistics

Sample

N

Median

time

15

27.55

Test

Null hypothesis

H: = 30

Alternative hypothesis

H: < 30

Sample

N for
Test

Wilcoxon
Statistic

P-Value

time

15

39.00

0.122

Calculated test statistic= 39, P=0.122 which is > 0.10 level.

Ho is not rejected.

There is not enough evidence to conclude that true average diagnostic time is less than 30 minutes.

: median of time

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

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