Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
7th Edition
ISBN: 9781337298353
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: South-Western College Pub
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Textbook Question
Chapter 9.2, Problem 6E
The label on a 3-quart container of orange juice states that the orange juice contains an average of 1 gram of fat less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.
a. Develop the appropriate null and alternative hypotheses.
b. What is the Type I error in this situation? What are the consequence of making this error?
c. What is the Type II error in this situation? What are the consequences of making this error?
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The label on a 3-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.
1. What is the type I error in this situation? What are the consequences of making this error?
A) It is claiming ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
B) It is claiming ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.
C) It is claiming ? > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.
D) It is claiming ? < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.
#2
What is the type II error in this situation? What are the…
The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label. (a) Develop the appropriate null and alternative hypotheses. H0: ? > 1 Ha: ? ≤ 1 H0: ? < 1 Ha: ? ≥ 1 H0: ? ≤ 1 Ha: ? > 1 H0: ? = 1 Ha: ? ≠ 1 H0: ? ≥ 1 Ha: ? < 1 (b) What is the type I error in this situation? What are the consequences of making this error? It is claiming ? < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. It is claiming ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? > 1 when it is not. This error would claim that the…
The label on a 3-quart container of orange juice states tha the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test he claim on the label.
A. Develop the appropriate null and alternative hypothesis
B. What is the type I error in this situation? What ar ethe consequences of making this error?
C. What is the Type II error in this situation? What are the concequences of making this error?
Chapter 9 Solutions
Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
Ch. 9.2 - The label on a 3-quart container of orange juice...Ch. 9.2 - Prob. 7ECh. 9.3 - Prob. 20ECh. 9.4 - The national mean annual salary for a school...Ch. 9.5 - A study by Consumer Reports showed that 64% of...Ch. 9.6 - Prob. 49ECh. 9 - Fifty-two percent of Americans report that they...Ch. 9 - Prob. 9.1.1CPCh. 9 - Prob. 9.1.2CPCh. 9 - Prob. 9.1.4CP
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- 1.Respond to the following questions in accordance with characteristics of hypothesis testing. a.If you want to see if the average gestational length among African American women is different from the national average of 39 weeks, how would you set up the null and two-sided alternative hypotheses? b.If you want to see if the average gestational length among African American women is less than the national average of 39 weeks, how would you set up the null and one-sided alternative hypotheses? c.In other words, what is a P-value? d.If α is 0.10 and you find a P-value of 0.08 in your hypothesis test, what would you conclude? e.How do you calculate the standard error of ?̅?arrow_forwardIf I conduct a hypothesis testing with Type I error set at 0.05 and a resulting p-value of 0.3, what would my conclusion be?arrow_forwardThe average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H 0: μ ≥ 40,000 H a: μ < 40,000 b. H 0: μ ≤ 40,000 H a: μ > 40,000 c. H 0: μ < 40,000 H a: μ ≥ 40,000 d. H 0: μ > 40,000 H a: μ ≤ 40,000arrow_forward
- Given that the P-value for the hypothesis test is 0.000 when rounded to three decimal places, what do you conclude? What do the results indicate about the rule that women and children should be the first to be saved?arrow_forwardFind the quantity (deviance) for testing the hypothesis H0 and the pvalue usedarrow_forwardUse the traditional method to test the given hypothesis. Assume that the poparrow_forward
- Given that the P-value for the hypothesis test is 0.501, what do you conclude? Does it appear that the heights were obtained through measurement or that the subjects reported their heights?arrow_forwardAn Internal Revenue Service official says, "The percentage of taxpayers who overpay the taxes they owe is considerably less than 10%." In the related hypothesis test, we should apply the "Missouri Rule" in setting up the null and alternative hypotheses. a) True b) Falsearrow_forwardAssuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ=60 seconds H1: μ≠60 seconds B. H0: μ=60 seconds H1: μ<60 seconds C. H0: μ=60 seconds H1: μ>60 seconds D. H0: μ≠60 seconds H1: μ=60 seconds Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)arrow_forward
- State the null and alternative hypotheses to be used in testing the following claims also explain type of test.(a) At most, 20% of next year’s wheat crop will be exported to the Soviet Union.(b) On the average, American homemakers drink 3 cups of coffee per day.(c) The proportion of college graduates in Virginia this year who majored in the social sciences is at least 0.15.(d) The average donation to the American Lung Association is no more than $10.(e) Residents in suburban Richmond commute, on the average, 15 kilometers to their place of employmentarrow_forwardWhich of the below-mentioned hypotheses is assumed to be true while we perform a hypothesis test?arrow_forwardMisconceived hypotheses. What is wrong with each of the following hypothesis statements? H0: μ = 100 vs. Ha: μ ≠ 110 H0: x̄ = 100 vs. Ha: x̄ < 100 or could write as H0: x̄ >= 100 vs. Ha: x̄ < 100 H0: p^ = 0.50 vs. Ha: p^ ≠ 0.50arrow_forward
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