UNDERSTANDING BASIC STATISTICS (LOOSE)
8th Edition
ISBN: 9781337558198
Author: BRASE
Publisher: CENGAGE L
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Chapter 9.1, Problem 23P
For Problems 19-24, please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
(b) Check Requirements What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the z value of the sample test statistic.
(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level
(e) Interpret your conclusion in the context of the application.
Insurance: Hail Damage Nationally, about 11 % of the total U.S. wheat crop is destroyed each year by hail (Reference: Agricultural Statistics, U.S. Department of Agriculture). An insurance company is studying wheat hail damage claims in Weld County. Colorado. A random sample of 16 claims in Weld County gave the following data (% wheat crop lost to hail).
| 15 | 8 | 9 | II | 12 | 20 | 14 | 11 |
| 7 | 10 | 24 | 20 | 13 | 9 | 12 | 5 |
The sample mean is
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Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 9 Solutions
UNDERSTANDING BASIC STATISTICS (LOOSE)
Ch. 9.1 - Statistical Literacy Discuss each of the following...Ch. 9.1 - Statistical Literacy In a statistical test, we...Ch. 9.1 - Statistical Literacy If we fail to reject (i.e.,...Ch. 9.1 - Statistical Literacy If we reject the null...Ch. 9.1 - Statistical Literacy What terminology do we use...Ch. 9.1 - Statistical Literacy What terminology do we use...Ch. 9.1 - Statistical Literacy If the P-value in a...Ch. 9.1 - Statistical Literacy If the P-value in a...Ch. 9.1 - Statistical Literacy Suppose the P-value in a...Ch. 9.1 - Statistical Literacy Suppose the P-value in a...
Ch. 9.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 9.1 - Basic Computation: Setting Hypotheses Suppose you...Ch. 9.1 - Prob. 13PCh. 9.1 - Basic Computation: Find the Test Statistic....Ch. 9.1 - Veterinary Science: Colts The body weight of a...Ch. 9.1 - Marketing: Shopping Time How much customers buy is...Ch. 9.1 - Meteorology: StormsWeatherwise magazine is...Ch. 9.1 - Ford Mustang: Acceleration Motor Trend stated that...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.1 - For Problems 19-24, please provide the following...Ch. 9.2 - Statistical Literacy For the same sample data and...Ch. 9.2 - Statistical Literacy To test for an x...Ch. 9.2 - Statistical Literacy When using the Students t...Ch. 9.2 - Critical Thinking Consider a test for . If the...Ch. 9.2 - Critical Thinking Consider a test for .If the...Ch. 9.2 - Critical Thinking If sample data is such that for...Ch. 9.2 - Basic Computation: P-value Corresponding to t...Ch. 9.2 - Basic Computation: P-value Corresponding to t...Ch. 9.2 - Basic Computation: Testing , Unknown A random...Ch. 9.2 - Basic Computation: Testing , Unknown A random...Ch. 9.2 - (c) Find (or estimate) the P-value. Sketch the...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Please provide the following information for...Ch. 9.2 - Critical Thinking: One-Tailed versus Two-Tailed...Ch. 9.2 - Expand Your Knowledge: Two Confidence Intervals...Ch. 9.2 - Prob. 25PCh. 9.2 - Prob. 26PCh. 9.2 - Prob. 27PCh. 9.2 - Prob. 28PCh. 9.2 - Critical Region Method: Student'st Solve Problem...Ch. 9.2 - Critical Region Method: Student'st Solve Problem...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Prob. 2PCh. 9.3 - Prob. 3PCh. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Basic Computation: Testingp A random sample of 30...Ch. 9.3 - Basic Computation: Testingp A random sample of 60...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9.3 - Prob. 23PCh. 9.3 - Prob. 24PCh. 9 - Terminology Answer each of the following...Ch. 9 - Terminology Answer each of the following...Ch. 9 - Statistical Literacy When testing how do we...Ch. 9 - Statistical Literacy What do we mean when we say a...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Prob. 1DHGPCh. 9 - Prob. 1LCWPCh. 9 - Prob. 2LCWPCh. 9 - The following statements are very important. Give...Ch. 9 - Prob. 4LCWPCh. 9 - As access to computers becomes more and more...Ch. 9 - Prob. 1CRPCh. 9 - Prob. 2CRPCh. 9 - Statistical Literacy Please give a careful but...Ch. 9 - Prob. 4CRPCh. 9 - Normal Approximation to the Binomial the majority...Ch. 9 - Prob. 6CRPCh. 9 - Sampling Distribution p Do you have a great deal...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...Ch. 9 - Prob. 10CRPCh. 9 - In Problems 8-12, please use the following steps...Ch. 9 - In Problems 8-12, please use the following steps...
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