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Let B be the total box office gross (in billions of dollars) from U.S. and Canada movie theaters. For 2014, the value of B is 10.02. What does that mean in this situation?

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Kritika Krishnakumar
Kritika KrishnakumarLv10
8 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

The queuing time at an airline check-in has a population mean h = 13 minutes and variance o2 = 16 minutes2. Suppose that n = 27 passengers were randomly selected from this population. They were interviewed and reported the queued times. Let x̄ defines the sample mean of n observations. Answer the followings:

a) Define your random variable X.

b) Define the sampling distribution of sample mean (indicate a reason and give the name of the distribution, the parameters and sketch it.

c) What is the probability that a sample mean is at most 11 minutes. Please skecth the problem and show all details of your answer.

d) Suppose that for n = 27 passengers, the sample mean is observed as x̄= 10 minutes. Based on part c, can we claim that the population mean queuing time is less than 13 minutes.

e) Construct a 95% acceptance region for sample mean of queing time (i.e., u + za x f) Interpret the result obtained in parte and skecth the control chart.

Use the following scenario for questions 6 – 8. In 2016-17, the average SAT score of the UVA first year class was 1420 out of 1600. An advisor in the statistics department is interested in determining whether statistics majors from that class have higher SAT scores than the average. He tests H,:µ = 1420 against Hạ: µ > 1420, where u is the mean SAT score for statistics majors from the 2016-17 first year class. In a simple random sample of 30 statistics majors, he finds a sample mean SAT score of 1440 with sample standard deviation of 40.

6. What is the value of the test statistic for this significance test?

a. 0.09

b. 0.5

c. 2.73

d. 20

7. From what distribution is this test statistic?

a. N(0, 1)

b. N(1420, 7.30)

c. t distribution with 29 degrees of freedom

d. t distribution with 28 degrees of freedom

8.) The p-value for this test is 0.005. Which of the following is a proper interpretation of this p- value?

a.There is a 0.5% chance that the null hypothesis is true.

b. If the population mean SAT score really is 1420, there's a 0.5% chance that the sample a. mean SAT score from 30 statistics majors would equal 1440.

c.If the population mean SAT score really is 1420, there's a 0.5% chance that the sample mean SAT score from 30 statistics majors would be 1440 or lower.

d. If the population mean SAT score really is 1420, there's a 0.5% chance that the sample mean SAT score from 30 statistics majors would be 1440 or higher.

Module 2 Minitab Assignment

Instructions:
Below you will find questions and a sample dataset. Please use the provided dataset to complete the tasks and to answer the questions.

As reported by the U.S. Census Bureau in Current Population Reports, the percentage of adults in each state and the District of Columbia who have completed high school is provided below.
Find the mean, median, and mode for this data set. Be aware that the mode does not always exist. 
Find the range and standard deviation of this data set.
Write a sentence interpreting the mean and standard deviation.
Write a sentence interpreting the median.
Dataset:
State Percent - Dataset
Alabama 95
Alaska 89
Arizona 95
California 84
Delaware 80
Georgia 81
Illinois 88
Kansas 83
Louisiana 85
Massachusetts 85
New Mexico 91
New York 93
North Carolina 88
Oklahoma 85
Texas 88
Utah 91
Vermont 86
Washington 80
Wisconsin 81
Wyoming 95


(continued on next page) 
Based on the following data,
Determine and interpret the first, second, and third quartiles.
Determine and interpret the interquartile range.
Construct a box-plot and describe the shape of the distribution.
Identify any outliers, if any.
Dataset:
96
59
55
111
76
91
60
57
84
123
56
89
61
72
89
72
81
88
75
79














(continued on next page) 
This is a set of data from a sample of n = 11 items:
Produce a scatterplot of the data.
What does the plot suggest about the relationship between the variables? 
Find and interpret the correlation coefficient.
Find and interpret the coefficient of determination.
Predict the value of y when x = 65. How much faith do you have in this prediction? Explain.
Dataset:
x y
46.1 150.8
47.6 150.2
45.5 141.3
43.1 167.4
44.5 166.7
36.9 121.7
47.4 143.6
44.8 186.1
41.3 166.2
33.5 140.4
34.4 132.9

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