Chapter 10: Q. 50 (page 598)
What can you conclude about the two operating systems?
there's no sufficient evidence to reject the null hypothesis so the data will not show ashas few failure system than
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Marketing companies have collected data implying that teenage girls use more ring tones on their cellular phones than
teenage boys do. In one particular study of 40 randomly chosen teenage girls and boys (20 of each) with cellular phones,
the mean number of ring tones for the girls was 3.2 with a standard deviation of 1.5. The mean for the boys was 1.7 with
a standard deviation of 0.8. Conduct a hypothesis test to determine if the means are approximately the same or if the girls’
mean is higher than the boys’ mean.
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.
In words, define the random variable for this test.
It is thought that teenagers sleep more than adults on average. A study is done to verify this. A sample of 16 teenagers has a mean of 8.9 hours slept and a standard deviation of 1.2. A sample of 12 adults has a mean of 6.9 hours slept and a standard deviation of 0.6.
What is the sample mean difference?
A new windshield treatment claims to repel water more effectively. Ten windshields are tested by simulating rain without
the new treatment. The same windshields are then treated, and the experiment is run again. A hypothesis test is conducted.
Indicate if the hypothesis test is for
a. independent group means, population standard deviations, and/or variances known
b. independent group means, population standard deviations, and/or variances unknown
c. matched or paired samples
d. single mean
e. two proportions
f. single proportion
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