1. Twenty-year-old men's weights have a population mean of 159 pounds and a population standard deviation of 23 pounds. The distribution is right-skewed. Suppose we take a random sample of 90 twenty-year-old men's weights. What is the probability that the sample mean will be between 153.8 pounds and 158.2 pounds?

2. The weights of four randomly chosen bags of carrots, each labeled 20 pounds, were 20.3, 19.7, 20.5, and 19.8 pounds. Assume that the distribution of weights is normal. Find a 95% confidence interval for the mean weight of all bags of carrots.

a)18.96 < < 20.98

b)None of these answers.

c)19.46 < < 20.69

d)19.46 << 20.69

e)18.96 < p < 20.98

3. The mean weight of all 30-year-old women is 136 pounds. A random sample of 40 women who are 30 years old showed a sample mean of 137 pounds with a standard deviation of 19 pounds. Determine whether the mean weight of 30-year old women is significantly less than 136, using a significance level of 0.05.

Set up hypothesis.

a. Ho:= 136

H_a:< 136

b. None of these answers.

c. Ho:= 137

H_a:< 137

d. Ho: < 136

Ha: = 136

e. Ho: = 136

H_a: < 136