A company had it sales persons undergo training, hoping to improve the

IMLOG10ct

IMLOG10ct

Answered question

2021-12-04

A company had it sales persons undergo training, hoping to improve their sales. Past sales data indicate that the average sale ewas P4,000 per transaction on a normally distrubuted population. After training, sales data, taken from a random sample of 25 salesmen/ salesladies, indicate and average sale of P4,500 with a standard deviation of P150.
(a) Write the null hypothesis.
(b) Write the alternative hypothesis.
(c) Formulate and calculate the test-statistic. Is it a one-tail or two-tailed test? Did the training work at 95% confindence level?

Answer & Explanation

Befory

Befory

Beginner2021-12-05Added 19 answers

Given that, the salesperson sample size n=25 
Typical mean sales x=4500 
Standard deviation for a sample s=150 
(a) H0:μ4000 (In other words, the average sale per transaction is less than or equal to $4000. In other words, training designed to increase sales is ineffective.) 
(b) H1:μ>4000 (In other words, the average sale per transaction is higher than $4000. In other words, sales training is effective.) 
(c) Test statistic: The test is one-tailed because the alternative hypothesis includes μ>4000. (right-tailed).
t=(xμ)(sn) 
=(45004000)(15025) 
=16.67 
P-value: 
With the use of the formula "=T.DIST.RT(16.67,24)," the p-value obtained from the EXCEL is 0.
If pvalueα, then reject the null hypothesis. If not, don't rule out the null hypothesis.
In this instance, p-value (0) is below the level of significance (0.05).
As a result, disprove the null hypothesis.
There is enough data to draw the conclusion that the average sale per transaction is higher than $4000. In other words, the sales training is effective.

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