Chapter 9: Q. 17 (page 537)
The power of a test is.What is the probability of a Type II error?
Type II error is the test has a power of.
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"The Problem with Angels," by Cyndy Dowling although this problem is wholly mine, the catalyst came from the magazine, Time. On the magazine cover I did find the realm of angels tickling my mind. Inside, I found to be in angels, Americans do believe.
Then, it was time to rise to the task, ninety-five high school and college students I did ask. Viewing all as one group, random sampling to get the scoop. So, I asked each to be true, "Do you believe in angels?" Tell me, do! Hypothesizing at the start, totally believing in my heart that the proportion who said yes would be equal on this test. Lo and behold, seventy-three did arrive, out of the sample of ninety-five. Now your job has just begun, Solve this problem and have some fun.
"Macaroni and Cheese, please!!" by Nedda Misherghi and Rachelle Hall
As a poor starving student I don't have much money to spend for even the bare necessities. So my favorite and main staple food is macaroni and cheese. It's high in taste and low in cost and nutritional value.
One day, as I sat down to determine the meaning of life, I got a serious craving for this, oh, so important, food of my life. So I went down the street to Greatway to get a box of macaroni and cheese, but it was SO expensive! Can you believe it? It made me stop and think. The world is changing fast. I had thought that the mean cost of a box (the normal size, not some super-gigantic-family-value-pack) was at most , but now I wasn't so sure. However, I was determined to find out. I went to of the closest grocery stores and surveyed the prices of macaroni and cheese. Here are the data I wrote in my notebook:
Price per box of Mac and Cheese:
• stores
•stores
• stores
• stores
• stores
• stores
• stores
• stores .
I could see that the cost varied but I had to sit down to figure out whether or not I was right. If it does turn out that this mouth-watering dish is at mostthen I'll throw a big cheesy party in our next statistics lab, with enough macaroni and cheese for just me. (After all, as a poor starving student I can't be expected to feed our class of animals!)
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of LTCC Intermediate Algebra students generated a mean of hours with a standard deviation of hours. At a level of significance of , do LTCC Intermediate Algebra students get less than
seven hours of sleep per night, on average? The distribution to be used for this test is ________________
a. , )
b.
c.
d.
A report by the Gallup Poll found that a woman visits her doctor, on average, at mosttimes each year. A random sample of women results in these yearly visit totals
At the α = 0.05 level can it be concluded that the sample mean is higher than visits per year?
The student academic group on a college campus claims that freshman students study at least hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of freshman students and found a mean study time of minutes with a standard deviation of minutes. At level, is the student academic group’s claim correct?
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