The average work week for employees in an internet start up company is believed to be about 65...

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The average work week for employees in an internet start up company is believed to be about 65 hours. A newly hired marketing employee hopes that it is shorter so he surveys 12 employees in the company for the lengths of their average work week and conducts a hypothesis test. Data: 70, 50, 45, 55, 65, 67, 68,

Transcript of The average work week for employees in an internet start up company is believed to be about 65...

Page 1: The average work week for employees in an internet start up company is believed to be about 65 hours. A newly hired marketing employee hopes that it is.

The average work week for employees in an internet start up company is believed to be about 65 hours. A newly hired marketing employee hopes that it is shorter so he surveys 12 employees in the company for the lengths of their average work week and conducts a hypothesis test.Data: 70, 50, 45, 55, 65, 67, 68, 68, 48, 49, 66, 54

Ho: µ = 65 Ha: µ < 65

Page 2: The average work week for employees in an internet start up company is believed to be about 65 hours. A newly hired marketing employee hopes that it is.

= the average length of an average work week for the internet start-up company.

Distribution for the Test: Student-t: t11

degrees of freedom = df = 12 – 1 = 11

Page 3: The average work week for employees in an internet start up company is believed to be about 65 hours. A newly hired marketing employee hopes that it is.

USE A TTEST.

Test statistic: t = -2.31 Standardized score, t-score, for which is calculated from the data.

p-value: 0.0208

58.75x

Page 4: The average work week for employees in an internet start up company is believed to be about 65 hours. A newly hired marketing employee hopes that it is.

Decision: Assume

REJECT Ho.

Conclusion: There is sufficient evidence to conclude that the length of an average work week is shorter than 65 hours, on the average.

0.05 ( )p value