The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2200 pounds. with a standard deviation of 183.5. A consumer protection agency claims that the actual standard deviation is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis H, and the alternative hypothesis H, they would use for this test. H, :0 O

The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2200 pounds. with a standard deviation of 183.5. A consumer protection agency claims that the actual standard deviation is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis H, and the alternative hypothesis H, they would use for this test. H, :0 O

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5) A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person is 3.2 pounds per year. Assume the population standard deviation is 1.17 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ>3.2 Ha: μ≤3.2 B. H0: μ≤3.2 Ha: μ>3.2 C. H0: μ≠3.2 Ha: μ=3.2 D. H0: μ≤3.3 Ha: μ>3.3 E. H0: μ=3.3 Ha: μ≠3.3 F. H0: μ>3.3 Ha: μ≤3.3 (b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. _____ (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Fail to reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3 pounds. B. Reject H0. There is…
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Your medical research team is investigating the standard deviation of the cost of a 30-day supply of a certain heart medication. A pharmaceutical company thinks that the standard deviation of the cost is less than $24. You want to support this claim. How would you write the null and alternative hypotheses? Ho: 224 H₂:0<24
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the conclusion ? Group of answer choices A. Reject the null hypothesis B. Type I error C. Fail to reject the null hypothesis D. Reject the alternative hypothesis
Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was selected, and the average class size was found to be 35.7 students. Assume that the standard deviation for class size at the college is 8 students. Using a = 0.05, complete parts a and b below. a. Does the student organization have enough evidence to refute the college's claim? Determine the null and alternative hypotheses. Hou H₁: H
Consider the following hypothesis test: H0: mu=15 Ha: mu not = to 15 A sample of 40 provided a sample mean of 14.18 . The population standard deviation is 5 . Enter negative value as negative number. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. c. Using a=.05, can it be concluded that the population mean is not equal to 15 ?- Select your answer -YesNoItem 3 Answer the next three questions using the critical value approach. d. Using a=.05 , what are the critical values for the test statistic? (+ or -) (to 2 decimals) State the rejection rule: RejectH0 if z is - Select your answer -greater than or equal to greater than less than or equal to less than equal to not equal to the lower critical value and is - Select your answer -greater than or equal to greater than less than or equal to less than equal to not equal to the upper critical value. Can…
A nutritionist claims that the mean tuna consumption by a person is 3.9 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.8 pounds per year. Assume the population standard deviation is 1.02 pounds. At a = 0.09, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: u>3.8 Ha: μs 3.8 O B. Ho: H#3.8 Ha: μ= 3.8 O C. Ho: Hs3.9 Hai H> 3.9 O D. Ho: H>3.9 O E. Ho: Hs3.8 Ha: H> 3.8 F. Ho: H=3.9 Ha:us3.9 Ha: H#3.9 (b) Identify the standardized test statistic. (Round to two decimal places as needed.)
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Assume a significance level of a = 0.1 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 11 bpm. The hypothesis test results in a P-value of 0.3373. -C a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. O A. Reject Ho because the P-value is less than or equal to α. OB. Reject Ho because the P-value is greater than a O C. Fail to reject Ho because the P-value is greater than a O D. Fail to reject Ho because the P-value is less than or equal to a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. There is not sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 11 bpm. O B. The standard deviation of pulse rates of the group of adult males…