4. Southwire believes that they will obtain seven new medium-sized clients per quarter. From 24 quarters...

4. Southwire believes that they will obtain seven new medium-sized clients per quarter. From 24 quarters of past accounts receivable history, you ﬁnd that they have obtained an average of 8.4 clients, with standard deviation of 2.5.
(a) What is the appropriate null and alternative hypothesis?

(b) Write down the appropriate test-statistic.

c) Compare your test-statistic to appropriate critical values. Do you reject the null, and at what levels?

(d) Now suppose that Southwire believes that, after running a marketing campaign, the number of large-sized clients added per quarter will increase from prior to the campaign. They do a comparison of the 12 months before the campaign to the 12 months after. Before, an average of 2.3 large-sized clients were added. After, 3.1 were added. The standard deviation of the diﬀerences is 1.5. i. Write down an appropriate null and alternative hypothesis. ii. What is the appropriate test statistic? iii. Test your hypothesis at all appropriate levels. Do you reject the null, and at what levels

Expert Solution

Let X: Number of clients

Claim: southwire believes that average medium sized clients per quarter are 7

it may concluded at 5% level of significance that the average clients per quarter will not 7.

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orchestra answered 1 year ago

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