BUSI 230 HW 9.5 Hypothesis Tests for a Standard Deviation Assignment solutions complete answers
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A random sample of size 16 from a normal distribution has standard deviation =83. Test H=66 versus . Use the =0.01 level of significance.
The hypotheses are provided above.
Find the critical value.
Compute the test statistic. Round the answer to three decimal places as needed.
Determine whether to reject .
State a conclusion.
Babies: A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than 7 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =0.05 level of significance.
State the appropriate null and alternate hypotheses.
This hypothesis test is a
Find the critical value. Round the answer to three decimal places.
Compute the test statistic. Round the answer to three decimal places.
Determine whether to reject .
State a conclusion.
Watching TV: The general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.09 with a standard deviation of 2.75. Assume that in a sample of 36 teenagers, the sample standard deviation of daily TV time is 3.4 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers is greater than 2.75? Use the =0.01 level of significance.
State the appropriate null and alternate hypotheses.
This hypothesis test is a
Find the critical value. Round the answer to three decimal places.
Compute the test statistic. Round the answer to three decimal places.
Determine whether to reject .
State a conclusion.
IQ scores: Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation =8. The developer of the test claims that the population standard deviation is less than =9. Do these data provide sufficient evidence to support this claim? Use the =0.05 level of significance.
State the appropriate null and alternate hypotheses.
This hypothesis test is a
Find the critical value. Round the answer to three decimal places.
Compute the test statistic. Round the answer to three decimal places.
Determine whether to reject .
State a conclusion.
