Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Chapter 9.6, Problem 16E
To determine
To conduct the hypothesis testing to test whether more than 30% of people have considered a career in science.
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 9 Solutions
Elementary Statistics (Text Only)
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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