An airline company would like to know if the average number of passengers on a f

Question

An airline company would like to know if the average number of passengers on a flight in November is less than the average number of passengers on a flight in December. The results of random sampling are printed below. Test the appropriate hypotheses using = 0.01.

A random sample of 200 passengers is taken in both months. The null and alternate hypothesis used: H0: mu1-mu2=0 vs. Ha: mu1-mu2<0 The test statistic is: -4.62 What is the correct conclusion? A. There is not enough information given B. Reject the null hypothesis C. Accept the null hypothesis D. Fail to reject the null hypothesis

A group in favor of freezing production of nuclear weapons believes that the proportion of individuals in favor of a nuclear freeze is greater for those who have seen the movie "The Day After" (population 1) than those who have not (population 2). In an attempt to verify this belief, random samples of size 500 are obtained from the populations of interest. Among those who had seen "The Day After", 228 were in favor of a freeze. For those who had not seen the movie, 196 favored a freeze. Which test should be used? A. Z test for proportions B. T test for the difference between two proportions C. Z test for the difference between two proportions D. T test for proportions

A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed: Women Men Sample Size 90 100 Sample Mean 8.4 years 8.5 years Sample Standard Deviation 0.6 years 0.5 years Compute the test statistic to test the null and alternate hypothesis: H0: mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0

Explanation / Answer

For those who had not seen the movie, 196 favored a freeze, A. Z test for proportions should be used.

Using Excel function TDIST find the P value for t=-4.62 is 0.000003, which is less than alpha=0.01, so B. Reject the null hypothesis.

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