Solve each of the following problems and show your complete solution by

following the steps in hypothesis testing.

1. After selecting a random sample of 28 people from a very large population, they want to

determine if the average age of the sample is a representative of the average age of the

population. The mean age of the population is 33. From the sample, the mean age is 26

and the standard deviation is 3.4. Is the mean age of the sample significantly different

from the mean age in the population at 0.01 level of significance?

2. A company wants to know if the mean of its new product differs from the mean of the

standard which is 0.742 pounds and a standard deviation of 0.0403 pounds. If a sample of

35 yields a mean of 0.720. Compute at 0.05 level of significance.

3. At the beginning of school year the average reading comprehension of freshmen college

students was recorded at 79.37. After three months of studying the same instrument for

reading comprehension test was used for 56 students and scored an average of 86.48 with

a standard deviation of 4.65. Does staying in the college improve the reading

comprehension of the freshmen students? Use 0.05 level of significance.

1. State the null hypothesis (Ho) and alternative

hypothesis (Ha).

2. Set the level of significance.

3. Choose the statistical test appropriate to test

the hypothesis.

4. Determine the tabular values for the test.

5. Compute the value of the statistical

test.

6. Determine the significance of the

computed value from the tabular value.

7. Formulate conclusion.