A water quality control board reports that water is unsafe for drinking if the mean nitrate concentration exceeds 30 ppm

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1. A stats professor gives an exam that is known to have a mean of 75. She implemented a new study method and believed her students this semester will score significantly greater than 75. If the mean is significantly higher than 75, the stats professor will make the students a homemade chocolate cheesecake as a reward. If they do not score significantly higher, she will make the students run a mile.

 a.       In this context, what is a Type I Error?

b.      In this context, what is a Type II Error?

2.    A pharmaceutical company has developed a new drug that they claim will cure cancer.

a.       In this context, what is a Type I Error?

b.      In this context, what is a Type II Error

 Using the following options, match the appropriate hypothesis with the statements below.

 A. Null Hypothesis           

 B. Alternative Hypothesis

3.      A test of significance is trying to find evidence for the ________.

4.      The claim being tested in a significance test is the ________.

5.      A test of significance assesses the strength of evidence against the ________.

6.      The ________ can predict the direction of group differences.

7.      The ________ can state that group differences exist but does not need to predict the direction of change.

For each situation, state the null and alternative hypothesis and whether it is a one- or two-tailed hypothesis.

8.      Researchers have postulated that, due to differences in diet, Japanese children have a lower mean blood cholesterol level than U.S. children.  Suppose that the mean level of U.S. children is known to be 170.

a.       null:

b.      alternative:

c.       one- or two-tailed:

9.      A water quality control board reports that water is unsafe for drinking if the mean nitrate concentration exceeds 30 ppm.  Water specimens are taken from a well.

a.       null:

b.      alternative:

c.       one- or two-tailed:

10.  Last year, your company’s service technicians took an average of 2.6 hours to respond to trouble calls from business customers who had purchased service contracts.  Do this year’s data show a different average response time?

a.       null:

b.      alternative:

c.       one- or two-tailed:

11.  Census Bureau data show that the mean household income in the area served by a shopping mall is $42,500 per year.  A market research firm questions shopper at the mall.  The researchers suspect that mean household income of mall shoppers is higher than that of the general population.

a.       null:

b.      alternative:

c.       one- or two-tailed:

12. Studies conducted in the 1970s indicated that the average age at which children take their first alcoholic drink is 16 years old. Sociologists believe that children now a days are starting to drink at a different age.
1. null:

b.      alternative:

c.       one- or two-tailed: 

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