The weight (in pounds) for a population of school-aged children is normally distributed with a mean...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 133 ± 21 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance.
a. What are the null and alternative hypotheses?
b. What is the critical value for this test?
c. What is the mean of the sampling distribution?
d. What is the standard error of the mean for the sampling distribution?
Homework Answers
a)
| null hypothesis:Ho | μ | = | 133 | |
| Alternate Hypothesis:Ha | μ | > | 133 | |
b)
critical value for this test z =1.645
c)
mean of the sampling distribution =133
d)
standard error of the mean for the sampling distribution =std deviation/sqrt(n)=21/sqrt(100)=2.1
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