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 carry out 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 this test. Ho: 0 H: 0 OSO D=0

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 -

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.

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 : ?