Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 1, Problem 40P
Design an experiment. Identify the explanatory and response variables. Describe the population being studied and the experimental units. Explain the treatments that will be used and how they will be assigned to the experimental units. Describe how blinding and placebos may be used to counter the power of suggestion.
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Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites the number of such sherds was counted in local dwelling excavations. Test given.
Site I
Site II
Site III
63
19
60
43
34
21
23
49
51
48
11
15
16
46
26
20
31
Find .
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds):
4.46
4.21
4.40
4.81
2.81
2.90
4.93
3.54
4.16
4.48
3.26
4.74
4.97
4.02
4.91
2.59
Use a calculator to verify that the sample variance for this plot is . Another random sample of years for a second plot gave the following annual wheat production (in pounds):
3.89
3.81
3.95
4.07
4.01
3.73
4.02
3.78
3.72
3.96
3.62
3.76
4.02
3.73
3.94
4.03
Use a calculator to verify that the sample variance for this plot is . Suppose that we test the claim using that the population variance of annual wheat production for the first plot is larger…
It is thought that prehistoric Native Americans did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:
x
5.50
6.00
6.75
7.00
7.75
y
37
38
92
70
99
Find the equation of the least squares line . Round a and b to three decimal places.
Chapter 1 Solutions
Introductory Statistics
Ch. 1 - Determine what the key terms refer to in the...Ch. 1 - The data are the number of machines in a gym. You...Ch. 1 - The data are the areas of Lawns in square feet....Ch. 1 - The data are the colors of houses. You sample five...Ch. 1 - Determine the correct data type (quantitative or...Ch. 1 - The registrar at State University keeps records of...Ch. 1 - You are going to use the random number generator...Ch. 1 - Determine the type of sampling used (simple...Ch. 1 - A local radio station has a fan base of 20,000...Ch. 1 - Table 1.13 shows the amount, in inches, of annual...
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Nominal,...Ch. 1 - Design an experiment. Identify the explanatory and...Ch. 1 - Discuss potential violations of the rule requiring...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Airline companies are interested in the...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - List some practical difficulties involved in...Ch. 1 - List some practical difficulties involved in...Ch. 1 - With your classmates, brainstorm some ways you...Ch. 1 - The instructor takes her sample by gathering data...Ch. 1 - A study was done to determine the age, number of...Ch. 1 - Name the sampling method used in each of the...Ch. 1 - A “random survey” was conducted of 3,2’4 people of...Ch. 1 - The Well-Being Index is a survey that follows...Ch. 1 - In advance of the 1936 Presidential Election, a...Ch. 1 - Crime-related and demographic statistics for 4 US...Ch. 1 - YouPolls is a website that allows anyone to create...Ch. 1 - A scholarly article about response rates begins...Ch. 1 - Fifty part-time students were asked how many...Ch. 1 - Sixty adults with gum disease were asked the...Ch. 1 - Nineteen immigrants to the U.S were asked how many...Ch. 1 - How much time does it take to navel to work? Table...Ch. 1 - Forbes magazine published data on the best small...Ch. 1 - Use (he following information o answer the next...Ch. 1 - Use (he following information o answer the next...Ch. 1 - How does sleep deprivation affect your ability to...Ch. 1 - An advertisement for Acme Investments displays the...Ch. 1 - The graph in Figure 1.15 shows the number of...Ch. 1 - Seven hundred and Seventy-one distance learning...Ch. 1 - Several online textbook retailers advertise that...
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