Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Textbook Question
Chapter 8.3, Problem 10E
For Exercises 7 through 23, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Find the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
10. Number of Words in a Novel The National Novel Writing Association states that the average novel is at least 50,000 words. A particularly ambitious writing club at a college-preparatory high school had randomly selected members with works of the following lengths. At α = 0.10, is there sufficient evidence to conclude that the mean length is greater than 50,000 words?
48,972 | 50,100 | 51,560 |
49,800 | 50,020 | 49,900 |
52,193 |
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Consider a question one could have come across in college, career, or personal life. Describe and apply the five steps below. Five Step Process for Hypothesis Testing:
Step 1: State the hypothesis to be tested.
Step 2: Specify the decision rule.
Step 3: Collect data and calculate necessary statistics to test the hypothesis.
Step 4: Make a decision.
Step 5: Take action based on the decision.
An example:
Step 1: State the hypothesis to be tested.
Ho: I will go to class today, Ha: I will not go to class today.
Step 2: Specify the decision rule.
If there is a "high" probability of rain, I will not go to class. If P(rain) ≤0.70, I will go to class (Fail to Reject Ho).
Step 3: Collect data and calculate necessary statistics to test the hypothesis.
Watch the Weather Channel, check local news, check iphone app to collect data.
Statistics for today:
Weather Channel: P(rain)=0.50
Local News: P(rain)=0.40
iphone app: P(rain)=0.65
Step 4: Make a decision.
All of the statistics…
A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete parts (a) through (d) below.
E Click the icon to view the data table.
a. Perform a hypothesis test using a= 0.05 to determine if the average test score is higher for the students after the review course when compared with before the course. Let p, be the population mean of matched-pair differences for the score before the course minus the score after the course. State the null and
alternative hypotheses. Choose the correct answer below.
O A. Ho: Ha = 0
H,: Ha #0
O B. Ho: Ha 20
H,: Hg 0
H,: Ha s0
O D. Ho: Ha s0
H,: Hg>0
OF. Ho: Ha <0
H,: Hg 20
Test Scores
O E. Ho: Ha #0
H,: H = 0
Student
Before
After
26
28
b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.05.
23
25
18
16
The test statistic…
1. Explain the concept of a hypothesis test, and why it is used in
research and science.
2. Conduct a hypothesis test, by executing the following steps:
a. Identifying the correct type of test.
b. Creating the two hypotheses.
c. Organizing the information from the problem.
d. Calculating any missing statistics.
e. Finding the P-value on your calculator.
f. Making the decision of the test.
g. Writing a sentence which embodies your decision.
3. Differentiate between a 1-sided and 2-sided test.
4. Differentiate between a 1-proportion z-test and 2-proportion z-test.
Chapter 8 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 8.1 - Applying the Concepts 81 Eggs and Your Health The...Ch. 8.1 - Define null and alternative hypotheses, and give...Ch. 8.1 - What is meant by a type I error? A type II error?...Ch. 8.1 - What is meant by a statistical test?Ch. 8.1 - Explain the difference between a one-tailed and a...Ch. 8.1 - What is meant by the critical region? The...Ch. 8.1 - What symbols are used to represent the null...Ch. 8.1 - What symbols are used to represent the...Ch. 8.1 - Explain what is meant by a significant difference.Ch. 8.1 - When should a one-tailed test be used? A...
Ch. 8.1 - In hypothesis testing, why cant the hypothesis be...Ch. 8.1 - Prob. 11ECh. 8.1 - Using the z table (Table E), find the critical...Ch. 8.1 - Prob. 13ECh. 8.1 - For each conjecture, state the null and...Ch. 8.2 - Car Thefts You recently received a job with a...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 2ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 5ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 13ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Reject or Not State whether the null hypothesis...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 19ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Transmission Service A car dealer recommends that...Ch. 8.2 - Speeding Tickets A motorist claims that the South...Ch. 8.2 - Sick Days A manager states that in his factory,...Ch. 8.2 - Significance Levels Suppose a statistician chose...Ch. 8.2 - Hourly Wage The president of a company states that...Ch. 8.3 - How Much Nicotine Is in Those Cigarettes? 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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Identify whether inferential statistics is applicable or not. Justify your answers by giving a logical explanation. An auditor of a government office wants to assess what proportion of experiment records were done correctly. Instead of going over 10,000 records, she decides to sample the first 100 records on her desk, and notices that 97 of them were done well. She concludes that 97% of all the records given to her were done well.arrow_forwardBriefly discuss the five steps in the hypothesis testing procedure.arrow_forwardChoose the correct answer below. O A. The measure of reliability is a strength rating based on the quality of the sample used to make the inference; it is a measure of the validity of the inference. B. The measure of reliability separates the science of statistics from the art of fortune-telling; it provides a bound on the estimation error. C. The measure of reliability is a strength rating based on the sources providing the inference. The better the sources, the stronger the rating, and the more likely that the inference is true. D. The measure of reliability is a value (probability) assigned by the individual making the inference to indicate the accuracy of their inference; it is based on what they believe the strength of their research was and the quality of the sample. Without this value, there is no way to differentiate the validity of the inference from pure guessing.arrow_forward
- Conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion. Flat Tire and Missed Class A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn’t have a flat tire, would they be able to identify the same tire? The author asked 41 other students to identify the tire they would select. The results are listed in the following table (except for one student who selected the spare). Use a 0.05 significance level to test the author’s claim that the results fit a uniform distribution. What does the result suggest about the ability of the four students to select the same tire when they really didn’t have a flat?arrow_forwardd) Write a conclusion based on the results. Choose the correct answer below.Pick one of the bolded words below. Reject/Do not reject the null hypothesis and claim that there is/is not sufficient evidence to conclude that the population mean is greater/less than 23arrow_forwardA. Look for the definitions of the following terms related to hypothesis testing. 7. Margin of Error 8. Test Statisticarrow_forward
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