The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.04.The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carryout a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for thistest.Ho: 0H1: 0O

Answered: The records of a casualty insurance…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A large international company with over 1.5 million employees wants to estimate how many of their employees have a cholesterol level that is higher than the recommended level. The company collects data from a random sample of employees and creates a 95% confidence interval for the population mean cholesterol level for all company employees. The upper bound of a 95% confidence interval for the population mean cholesterol level was 261.48, and the width of the same 95% confidence interval was 10.44. In this confidence interval, what is the sample mean (x bar) cholesterol level? Provide your answer as a number rounded to two decimal places
A random sample of 1,562 undergraduates enrolled in management ethics courses was asked to respond on a scale from 1 (strongly disagree) to 7 (strongly agree) to this proposition: Senior corporate executives are interested in social justice. The sample mean response was 4.27, and the sample standard deviation was 1.32. The null hypothesis that the population mean is 4. 1. Test it at the 10% level, against a two-tail alternative. 2. Test it at the 5% level, against an upper-tail alternative.
Previously, an organization reported that teenagers spend 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. The null and alternative hypotheses are: A. H0:μ=4.75H0:μ=4.75Ha:μ>4.75Ha:μ>4.75 B. H0:μ=4.5H0:μ=4.5Ha:μ>4.5Ha:μ>4.5 C. H0:μ≥4.5H0:μ≥4.5Ha:μ<4.5Ha:μ<4.5 D. H0:p=4.5H0:p=4.5Ha:p>4.5
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1that we would use for this test.
Consider the following hypothesis test: Ho: μ 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use a = 0.05. Note: In the following questions, if the correct option is "Reject Ho" select "option 1". If "Do not reject Ho" is correct, then select "option 2". =.= 52.5 - Select your answer - ✓ D. = 51 - Select your answer - ✓ =.= 51.8 - Select your answer -
In a hypothesis test, if the null hypothesis states that the population mean is equal to 100 with a standard deviation of 15, and the sample mean is 108 with a sample size of 36, what is the calculated z-score for this test?
As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…
You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less…
A clinical psychologist posits that drug use leads to conduct problems. To test this, he examines whether his adolescent inpatient drug users were elevated in terms of conduct disorder (CD). A sample of 100 was evaluated using a standard measure of CD; they had a mean score of 53. The population mean (µ) for the CD scale is 50 with a standard deviation (σ) of 10. Show calculations for the appropriate test. What are the null and alternative hypotheses? What inferential test did you use? Using an alpha level of .05, determine whether the sample was significantly different from population. Report and interpret an effect size. Given your conclusion in part b, what type of error might you be making?
BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of at least 2900 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2740 hours and that the sample standard deviation of the lifetimes is 750hours. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?750 hours2900 hours2740 hours H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?750 hours2900 hours2740 hoursIn the context of this test, what is a Type I error?A Type I error is ?rejectingfailing to reject the hypothesis that μs ? less than/less than or equal…
The environmental research scientists report that the exhaust emissions for a certain car model has a normal distribution with a mean of 1.45 grams of nitrous oxide per mile and a standard deviation of 0.4. The car manufacturer claims their new process reduces the mean level of exhaust emitted for this car model. A Simple random sample of 36 cars is taken and the mean level of exhaust emitted for this sample is 1.21 grams. (a) State the null and alternative hypotheses. (b) Calculate the test statistic. (c) Calculate the Zc and p-value. Draw the picture. (d) What is the decision at the 0.05 significance level?
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The correct hypothesis statement for this hypothesis test would be A) H0: μ = 33.9; H1: μ ≠ 33.9. B) H0: μ = 36; H1: μ ≠ 36. C) H0: μ ≤ 36; H1: μ > 36. D) H0: μ ≥ 36; H1: μ < 36.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS