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

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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
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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 -
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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…
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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?
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BIG Corporation advertises that its light bulbs have a mean lifetime, μ , of 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 3040 hours and that the sample standard deviation of the lifetimes is 600 hours. 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 H1 : μ is In the context of this test, what is a Type II error?A Type II error is the hypothesis that μ is when, in fact, μ is .Suppose that we decide to reject the null hypothesis. What sort of error might we be making?
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9auto 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 carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0 : ? H1 : ?

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