A random sample of 21 observations from the first population revealed a sample m

Question

A random sample of 21 observations from the first population revealed a sample mean of 374 and a sample standard deviation of 13. A random sample of 23 observations from the second population revealed a sample mean of 364 and a sample standard deviation of 12.

    

     

State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.)

Compute the pooled estimate of the population variance. (Round the final answer to 2 decimal places.)

2.

A study was conducted to determine if there was a difference in the humour content in British and Canadian trade magazine advertisements. In an independent random sample of 252 Canadian trade magazine advertisements, 54 were humorous. An independent random sample of 201 British trade magazines contained 51 humorous ads. Do these data provide evidence, at the 0.01 significance level, that there is a difference in the proportion of humorous ads in British versus Canadian trade magazines?

Does this data provide evidence that there is a difference in the proportion of humorous ads in British versus Canadian trade magazines? Use the 0.01 significance level.

1. The null and alternate hypotheses are:

Explanation / Answer

1.

From the given data we have

a. Reject H0 if t > 2.4208
Two tailed test
b. SE = 3.7827
c. t = 2.6436
d. Reject H0
e. p-value = 0.00578

Given Data Sample 1 Sample 2 Name mean 374 364 Sample size 21 23 Std. dev. 13.00 12.00

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