(c)The solar water heater manufacturers claim that the mean life of the heater is less than760 hours. A random sample of 28 solar water heaters is drawn from the production lineevery day with a standard deviation of 60 hours. Use a = 0.05.(i) Write the null and alternative hypotheses(ii) Find the when the test value is -1.703.(iii) Conduct a hypothesis test using p-value approach.(iv) Do you have enough evidence to reject the manufacturers' claim?(v) What is the probability of committing type 1 error?

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Answered: (c) The solar water heater…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 It has long been stated that the mean temperature healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a = 0.01 level of significance. State the hypotheses Họ: H 98.6°F H: H 98.6°F Find the test statistic. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) What can be concluded? What can be concluded? A. Reject Ho since the P-value is not less than the significance level. B. Reject Ho since the P-value is less than the significance level. C. Do not reject H, since the P-value is not less than the significance level. D. Do…
I want to understand z test/t -test better. The nicotine content in cigarettes of a certain brand is Normally distributed with standard deviation = 0.2 milligrams. The brand advertises that the mean nicotine content of their cigarettes is =1.8. A researcher believes that mean nicotine content is higher than the brand claims and decided to conduct a hypothesis test. Assume a random sample of 100 cigarettes of this brand gave a mean of = 1.85. Conduct a full hypothesis test at 0.05 alpha level. Please help me identify the test stastistic, pvalue, and conclusion.
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The population standard deviation of the mileage is 5000 miles. Crosset Truck Company bought 48 tires and found from this purchase of tires that the average mileage for its trucks is in fact 58,500 miles. Use critical value approach and p-value approach to undertake your hypothesis testing. Your test is to know whether the Crosset’s experience is different from what is claimed by the manufacturer at a 5% significance level.
A simple random sample of 36 Saint Bernard dogs weight yield a sample mean of 193 pounds. It is known that the standard deviation of the population of all Saint Bernard dogs weight is 18 pounds. Test the null hypothesis that the mean weight of all Sain Bernard dogs is 200 pounds (use the signigicance level a=0.05). State the conclusion in terms of the problem and calculate the P-value for this test.
The sample mean and standard deviation from a random sample of 30 observations from a normal population were computed as x¯=31x¯=31 and s = 9. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 3% significance level that the population mean is greater than 28. Test Statistic =
A sample of 20 observation is selected from a normal population, the sample mean is 2.78 and the standard deviation is 0.83. Another sample of 18 observation was selected and the mean is 2.63 with standard deviation of 0.75. Test at 0.01 level of significance. What is the computed value and decision.
Missy took an SRS of 45 tires where the sample mean weight is 9.10kg and the sample standard deviation is 0.25kg. Given that the mean weight of tires supposed to be 9.0kg, conduct a Test of Hypothesis to infer if the tires are too heavy? Distinctly show all six steps.
The sample mean and standard deviation from a random sample of 32 observations from a normal population were computed asx =25 and s = 10. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 8% significance level that the population mean is greater than 22.Test Statistic =
A sample of 27 account balances of credit company showed a mean of customer balance of 6,000, but the marketing manager claimed that the mean balance for the population was 5,558. The marketing manager did NOT have the population standard deviation, but the sample standard deviation was found to be 320. Use the p-value approach to conduct a full hypothesis test (all steps) that can be used to determine whether the mean of all account balances is significantly different from 5,558. Let a=.10
Historically, the average arrival rate at an airport is 195 flights per hour. The population standard deviation is known and is equal to 13. Airport management would like to increase arrivals so they implemented a new traffic control procedure. After implementing the new procedure, a sample of arrivals during 30 days was collected and showed a mean arrival rate of 200 flights per hour. Using a = 0.1, does the sample show that the new procedure is effective? (a) State the null and alternative hypotheses a. Ho: ≥195 Η: μ 195 d. Ho: μ= 195 e. H₁:195 Ho: ≤200 H₁: >200 (b) Calculate the test statistic of a. -2.11 b. 197.26 c. 2.11 d. 117.84
The body temperatures of two species of geckos were measured. The n- 10 geckos from species A had a mean noon temperature of- 32.66°C and a standard deviation of s- 0.81°C, whereas the ng- 11 geckos from species B yielded mean 30.12°C noon temperature and s-0.75°. To test the hypothesis of no difference versus the alternative of a difference in mean noon temperature at the 5% level of significance, one would need to calculate the t-calculated value. What are the t calculated and t critical values? O Calculated3458: Critical - 2.080 Calculated-3.458; Critical - 2776 Calculated 746: Critical-2.776 Calculated 7.46: Critical-2.093
A random sample of 46 adult coyotes from Northern Minnesota showed the average age to be sample mean of 2.05 years. The population standard deviation is known to be o = 1.13 years However, it is thought that the average age of coyotes is u = 1.75 yearsTest to see if the coyotes in Northern Minnesota live longer than the national average of 1.75 years. Use 0.03 levėl of significancé. What is the conclusion (using any method)? O There is sufficient evidence at the 0.03 level of significance to show the coyotes in northern Minnesota live longer than the national average of 2.05 years. O There is not sufficient evidence at the 0.03 level of significance to show the coyotes in northern Minnesota live longer than the national average of 1.75 years. There is not sufficient evidence at the 0.03 level of significance to show the coyotes in northern Minnesota live longer than the national average of 2.05 years. There is sufficient evidence at the 0.03 level of significance to show the coyotes in…

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