The manufacturer of a battery claims that the mean life of it is 8 months. An agency took a sample of 40 such batteries with a mean life of 7 months and a standard deviation of 2.25 month. Using 10% significance level, is there sufficient evidence to reject the claim?
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- A company wants to test the claim that their batteries life time is 40 hours. Using a simple random sample of 15 batteries yielded a mean of 44.9 hours, with a standard deviation of 8.9 hours. Test this claim using a significance level of 0.05.A sample of 106 body temperatures was found to have a mean of 98.20and a standard deviation of 0.62. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.6 as is commonly believed. Is there sufficient evidence to conclude that the common belief is wrong?In a test of the effectiveness of garlic for lowering cholesterol, 64 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.4 and a standard deviation of 23.9. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ho: μ=0 mg/ldL H1: µ > 0 mg/dL B. Ho : μ=0 mg/dL H1: µ0 mg/dL H1: µ<0 mg/dL D. Ho: µ=0 mg/dL H1:µ#0 mg/dL
- In a test of the effectiveness of garlic for lowering cholesterol, 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.9 and a standard deviation of 20.8. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. .... What are the null and alternative hypotheses? O B. Ho: H= 0 mg/dL O A. Ho: u= 0 mg/dL H,: µ0 mg/dL H1: µ> 0 mg/dL H,: µ<0 mg/dL Determine the test statistic. 0.39 (Round to two decimal places as needed.) Determine the P-value (Round to three decimal places as needed.)In a certain country the heights of adult men are normally distributed with a mean of 67.2 inches and a standard deviation of 2.3 inches. The country's military requires that men have heights between 64 inches and 75 inches. Determine what percentage of this country's men are eligible for the military based on height.(a)to(c) plz
- An editor for a large book distributor claims the mean time required to write a textbook is at least 32 months. A sample of 49 textbook authors found that the mean time taken to write a textbook was 35 months with a standard deviation of 6.8 months. Using a 2.5% significance level, would you conclude that the editor's claim is true?It is commonly believed that the mean body temperature of a healthy adult is 98.6°F. You are not entirely convinced. You believe that it is not 98.6° F. You collected data using 52 healthy people and found that they had a mean body temperature of 98.25° F with a standard deviation of 1.2° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6°F. a) kdentify the null and alternative hypotheses? Họ:p=v 98.6 H.: pAccording to the Insurance Association in US, the average annual expenditure for automobile insurance is $605. Suppose that in a simple random sample of 80 residents of New York, for most recent year their average expenditure was $638.62 with the standard deviation of $106.05. Based on these data, examine whether the average annual insurance for motorists in New York might be different from that in national level. Using the 0.05 level of significance, what conclusion do you reach? Also, construct and interpret 95% confidence interval for the population mean. Is the hypothesized mean within the interval? Is this consistent with the findings of the hypothesis test conducted?Using traditional methods, it takes 11.7 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 11.3 hours with a standard deviation of 1.4 A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Is it reject null hypothesis or fail to reject null hypothesisUsing traditional methods, it takes 98 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 270 students and observed that they had a mean of 97 hours. Assume the standard deviation is known to be 7. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method? What is the conclusion?In one city, the average amount of time that tenth-graders spend watching television each week is 23 hours. The principal of Birchwood High School believes it is less for the 10th grade students that at his school. For a sample of 95 tenth-graders from the school, the mean amount of time spent watching television per week was 21.9 hours. Assuming a population standard deviation of 3.1 hours, does the data provide sufficient evidence to conclude that for all tenth-graders at Birchwood High school, the mean amount of time spent watching television per week is less than the city average of 23 hours? Perform the appropriate hypothesis test using a significance level of 0.005. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write…SEE MORE QUESTIONS