Topic: STASTICS MATHS PROJECT

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Description:

1. A Pharmaceutical company claims that its newly released drug lowers ‘bad’ cholesterol by an average of 65 points in a three month period. Believing this claim to be too high you have conducted a statistical study to determine whether their claim is valid. Accordingly you select 81 people at random and measure their bad cholesterol at the start and at the end of three month’s use of the drug. This group had an average reduction in ‘bad’ cholesterol of 61 points with a standard deviation of 18 points. At the 1% level of significance should you accept or reject the pharmaceutical company’s claim.

a. What is the null and alternative hypothesis in English?

b. What is the null and alternative hypothesis in mathematical terms?

c. What type of test are we conducting (one-tailed right, one-tailed left or two tailed)? Why?

d. Using the appropriate distribution curve shade in the region that will cause us to reject our null hypothesis.

e. Calculate the test statistic? Show your work.

f. What is the probability of obtaining this test statistic (i.e. what is the p-value)?

g. Should you reject or not reject (accept) the null hypothesis? Why?

h. State your conclusion in the context of this problem

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2. Are women getting taller? A researcher claims that the average height of women aged 20 years of older is greater than the 1980 average height of 63.7 inches. In order to statistically test this claim a random sample of 49 women was obtained. The average height of the women in this sample was 64.8 inches with a standard deviation of 3.5 inches. Using this data test the researchers claim at the 5% level of significance.

a. What is the null and alternative hypothesis in English?

b. What is the null and alternative hypothesis in mathematical terms?

c. What type of test are we conducting (one-tailed right, one-tailed left or two tailed)? Why?

d. Using the appropriate distribution curve shade in the region that will cause us to reject our null hypothesis.

e. Calculate the test statistic? Show your work.

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f. What is the probability of obtaining this test statistic (i.e. what is the p-value)?

g. Should you reject or not reject (accept) the null hypothesis? Why?

h. State your conclusion in the context of this problem
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