Question

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 42 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 37 sales representatives reveals that the mean number of calls made last week was 44. The standard deviation of the sample is 29 calls. Using the 0.100 significance level, can we conclude that the mean number of calls per salesperson per week is more than 42? Haus 42 Hu> 42 1. Compute the value of the test statistic (Round your answer to 3 decimal places.) Value of the test statistie 2. What is your decision regarding Ho? HO. The mean number of calis

Answer 1

Given data is:

Mean(u)	42
x-bar	44
n	37
standard deviation	2.9
alpha	0.1

Using excelL<data<megastat<hypothesis test<mean vs hypothesized

Here is the output:

Hypothesis Test: Mean vs. Hypothesized Value
	42.00	hypothesized value
	44.00	mean 1
	2.90	std. dev.
	0.48	std. error
	37	n
	4.195	z
	1.36E-05	p-value (one-tailed, upper)
	43.22	confidence interval 90.% lower
	44.78	confidence interval 90.% upper
	0.78	margin of error

Answer: Test statistic: 4.195

Reject H0. The mean number of calls is greater than 42 per week.

Since the p-value is less than alpha (0.1). We reject the null hypothesis(H0). There is sufficient evidence to prove that there is the mean number of calls is greater than 42per week.

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