Question

In: Statistics and Probability

The empirically established mean score for sales for a population in a public company is 850....

The empirically established mean score for sales for a population in a public company is 850. The scores for selected sales representatives,Ekle, Joshua and Keeble are 780, 700, and 810,respectively. Also considered are Roll, Jill, and Jan. Their scores are 680, 590 and 780,respectively. The Sales Division argues that these scores appear to be different from expectation. Assume the level of significance is 5%. Test the hypothesis that the representatives are not statistically different from expectation. Use the correct steps in testing a hypothesis

Solutions

Expert Solution

H0: Null Hypothesis: = 850 ( The representatives are not statistically different from expectation. ) (Claim)

HA: Alternative Hypothesis: 850 ( The representatives are statistically different from expectation. )

From the given data, the following statistics are calculated:

n =6

= 723.3333

s = 82.6236

= 0 0.05

df = 6 - 1 = 5

From Table, critical values of t = 2.571

Test Statistic is given by:

Since calculated value of t = - 3.755 is less than critical value of t = - 2.571, the difference is significant. Reject null hypothesis.

Conclusion:
The data do not support the claim that the representatives are not statistically different from expectation.

orchestra answered 1 year ago
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