Homework Answers

III – Find the approximate p-value given the following information:

1. A two-tailed test; computed t-value = 1.845; df = 10

2. A left-tailed test; computed t-value = 2.295; df = 21

3. A right-tailed test; computed t-value = 1.565; df = 27

4. A two-tailed test; computed t-value = 2.452; df = 12

Consider a population consist of 9, 5, 6, 12, and 15. Suppose that sample size of 2were drawn from this population (without replacement), describe the sampling distribution of the sample means

The average lot size of the houses in a small village is 55 square meters with a standard deviation of 10 square meters. Find the mean of the sampling distribution of the sample mean with a sample size of 50 houses if lot sizes are normally distributed.

df= 25 Percentile= 97.5th t(a,df) =

Water is flowing into a conical vessel 18 cm deep and 10 cm across the top at the rate of 4 cm3/min. The depth of the water is "h" cm. If the rate which the surface is rising is 0.1146 cm/min, find the value of "h"?

The Head of the Mathematics Department announced that the mean score of Grade 11

students in the first validating test in Mathematics was 65 and the standard deviation was 12.

One student who believed that the mean score was less than this, interviewed 50 randomly

selected students and obtained a mean score of 60. At 0.01 level of significance, test the

student's belief.

2. A simple random sample of 15 people from a certain population has a

mean age of 35 with a standard deviation of 20. Can we conclude that

the mean age of the population is younger than 35? Let alpha = .05.