Elementary Statistics 2nd Edition
2nd Edition
ISBN: 9781259724275
Author: William Navidi, Barry Monk
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.1, Problem 27E
Type I error: A company that manufactures steel wires guarantees that the mean breaking strength (in kilonewtons) of the wires is greater than 50. They measure the strengths for a sample of wires and test
- If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength?
- If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength?
- This test uses a one-tailed alternate hypothesis. Explain why a one-tailed hypothesis is more appropriate than a two-tailed hypothesis in this situation.
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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
Elementary Statistics 2nd Edition
Ch. 9.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 9-12, determine whether the statement...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...Ch. 9.1 - In Exercises 13-16, determine whether the...
Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - In Exercises 17-20, determine whether the outcome...Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - In Exercises 17–20, determine whether the...Ch. 9.1 - Fertilizer: A new type of fertilizer is being...Ch. 9.1 - Big fish: A sample of loo flounder of a certain...Ch. 9.1 - Check, please: A restaurant owner claims that the...Ch. 9.1 - Coffee: The mean caffeine content per cup of...Ch. 9.1 - Big dogs: A veterinarian claims that the mean...Ch. 9.1 - Business trips A sales manager believes that the...Ch. 9.1 - Type I error: A company that manufactures steel...Ch. 9.1 - Type I error: Washers used in a certain...Ch. 9.1 - Scales: It is desired to check the calibration of...Ch. 9.1 - IQ: Scores on a certain IQ test are known to have...Ch. 9.2 - In Exercises 23–28, fill in each blank with the...Ch. 9.2 - In Exercises 23-28, fill in each blank with the...Ch. 9.2 - Prob. 25ECh. 9.2 - In Exercises 23-28, fill in each blank with the...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - In Exercises 29-34, determine whether the...Ch. 9.2 - In Exercises 29-34, determine whether the...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - A test is made of H0:=50 versus H1:50. A sample of...Ch. 9.2 - A test is made of H0:=14 versus H1:14. A sample of...Ch. 9.2 - A test is made of H0:=130 versus H1:130. A sample...Ch. 9.2 - A test is made of H0:=5 versus H1:5. A sample of...Ch. 9.2 - A test of the hypothesis H0:=65 versus H1:65 was...Ch. 9.2 - A test of the hypothesis H0:=150 versus H1:150 was...Ch. 9.2 - True or false: If P=0.02, then The result is...Ch. 9.2 - True or false: If P=0.08, then The result is...Ch. 9.2 - A test of H0:=17 versus H1:17 is performed using a...Ch. 9.2 - A test of H0:=50 versus H1:50 is performed using a...Ch. 9.2 - A test of H0:=0 versus H1:0 is performed using a...Ch. 9.2 - Prob. 46ECh. 9.2 - If H0 is rejected at the =0.05 level, which of the...Ch. 9.2 - Prob. 48ECh. 9.2 - If P=0.03, which of the following is the best...Ch. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Are you smarter than a second grader? A random...Ch. 9.2 - Height and age: Are older men shorter than younger...Ch. 9.2 - Calibrating a scale: Making sure that the scales...Ch. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - What are you drinking? Environmental Protection...Ch. 9.2 - Prob. 60ECh. 9.2 - Interpret calculator display: The age in years was...Ch. 9.2 - Interpret calculator display: The number of...Ch. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Statistical or practical significance: A new...Ch. 9.2 - Test scores: A math teacher has developed a new...Ch. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Large samples and practical significance: A sample...Ch. 9.3 - In Exercises 7 and 8, fill in each blank with the...Ch. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Find the P-value for the following values of the...Ch. 9.3 - Find the P-value for the following values of the...Ch. 9.3 - Find the critical value or values for the...Ch. 9.3 - Find the critical value or values for the...Ch. 9.3 - Is there a doctor in the house? The market...Ch. 9.3 - College tuition: The mean annual tuition and fees...Ch. 9.3 - Big babies: The National Health Statistics Reports...Ch. 9.3 - Good credit: The Fair Isaac Corporation (FICO)...Ch. 9.3 - Commuting to work: The American Community Survey...Ch. 9.3 - Watching TV: The General Social Survey asked a...Ch. 9.3 - Prob. 21ECh. 9.3 - How much is in that can? A machine that fills...Ch. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Keep cool: Following are prices, in dollars, of a...Ch. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Interpret calculator display: A sample of adults...Ch. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Does this diet work? In a study of the...Ch. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Larger or smaller P-value? In a study of sleeping...Ch. 9.3 - Larger or smaller P-value? Juan and Mary want to...Ch. 9.3 - Interpret a P-value: A real estate agent believes...Ch. 9.3 - Interpret a P-value: The manufacturer of a...Ch. 9.3 - Using z instead of t: When the sample size is...Ch. 9.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - In a simple random sample of size 80, there were...Ch. 9.4 - Prob. 10ECh. 9.4 - In a simple random sample of size 75, there were...Ch. 9.4 - In a simple random sample of size 150, there were...Ch. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Quit smoking: In a survey of 444 HIV-positive...Ch. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Curing diabetes: Vertical banded gastroplasty is a...Ch. 9.4 - Tweet tweet: An article in Forbes magazine...Ch. 9.4 - Prob. 22ECh. 9.4 - Choosing a doctor: Which do patients value more...Ch. 9.4 - Prob. 24ECh. 9.4 - Interpret calculator display: In a recent poll,...Ch. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Who will you vote for? A simple random sample of...Ch. 9.4 - Prob. 31ECh. 9.4 - Dont perform a test: Over the past 100 days, the...Ch. 9.4 - Exact test: When np010 or n(1p0)10, we cannot use...Ch. 9.5 - In Exercises 5 and 6, fill in each blank with the...Ch. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - A random sample of size 25 from a normal...Ch. 9.5 - Prob. 14ECh. 9.5 - Babies: A sample of 25 one-year-old girls had a...Ch. 9.5 - Watching TV: The General Social Survey asked a...Ch. 9.5 - IQ scores: Scores on an IQ test are normally...Ch. 9.5 - SAT scores: Scores on the math SAT are normally...Ch. 9.5 - How much is in that can? A machine that fills...Ch. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.6 - In Exercises 5–12, slate which type of parameter...Ch. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Cookies: Following are the weights of 8 boxes of...Ch. 9.6 - Prob. 16ECh. 9.6 - Teacher salaries: A random sample of 50 public...Ch. 9.6 - Prob. 18ECh. 9.6 - Mercury pollution: Mercury is a toxic metal that...Ch. 9.6 - Prob. 20ECh. 9.7 - In Exercises 3-5, fill in each blank with the...Ch. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9.7 - In Exercises 6-8, determine whether the statement...Ch. 9.7 - Prob. 7ECh. 9.7 - Prob. 8ECh. 9.7 - Prob. 9ECh. 9.7 - A test has power 0.80 when 1=3.5. True or false:...Ch. 9.7 - Prob. 11ECh. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Watch sour cholesterol: An article in the...Ch. 9.7 - Prob. 15ECh. 9.7 - Coffee beans: Refer to Exercise 12. A test of the...Ch. 9.7 - Prob. 17ECh. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9 - Fill in the blank: A test of the hypotheses H0:=65...Ch. 9 - A hypothesis test results in a P-value of 0.008....Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - In a random sample of 500 people who took their...Ch. 9 - Prob. 9CQCh. 9 - Prob. 10CQCh. 9 - Prob. 11CQCh. 9 - In a test of H0:=5 versus H1:5, the value of the...Ch. 9 - True or false: We can perform a test for a...Ch. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Job satisfaction: The General Social Survey...Ch. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 1WAICh. 9 - Prob. 2WAICh. 9 - Prob. 3WAICh. 9 - Prob. 4WAICh. 9 - Prob. 5WAICh. 9 - Prob. 6WAICh. 9 - Prob. 1CSCh. 9 - Prob. 2CSCh. 9 - Prob. 3CSCh. 9 - For some records marked with a * the record...Ch. 9 - Prob. 5CSCh. 9 - Prob. 6CSCh. 9 - Prob. 7CS
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