A random sample of 23 adult male wolves from the Canadian Northwest Territories gave an average weight x1 = 98.6 pounds with estimated sample standard deviation s, = 7.3 pounds. Another sample of 23 adult male wolves from Alaska gave an average weight x2 = 88.2 pounds with estimated sample standard deviation s2 = 6.4 pounds. (a) Categorize the problem below according to parameter being estimated, proportion p, mean µ, difference of means u1 - H2, or difference of proportions p1 - P2. Then solve the problem. O P1 - P2 O p (b) Let µ1 represent the population mean weight of adult male wolves from the Northwest Territories, and let µ2 represent the population mean weight of adult male wolves from Alaska. Find a 90% confidence interval for 41 - H2. (Use 1 decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 90% level of confidence, does it appear that the average weight of adult male wolves from the Northwest Territories is greater than that of the Alaska wolves? Because the interval contains only positive numbers, we can say that Canadian wolves weigh more than Alaskan wolves. Because the interval contains both positive and negative numbers, we can not say that Canadian wolves weigh more than Alaskan wolves. We can not make any conclusions using this confidence interval. Because the interval contains only negative numbers, we can say that Alaskan wolves weigh more than Canadian wolves.

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 0.2 and a standard deviation of 17.2. 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. Hρ: μ=0 mg/dL O B. Ho: µ=0 mg/dL H;: u#0 mg/dL H,: µ>0 mg/dL O C . H: μ=0 mg/dL O D. Ho: µ>0 mg/dL H;: µ<0 mg/dL H,:µ<0 mg/dL Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value, (Round to three decimal…

In 16 women with diabetes, the morning blood sugar mean was 49.4  with a standard deviation of 24.0. In normal healthy women, the mean was 47.0. From the sample information, can we conclude that the blood sugar mean in women with rheumatoid arthritis is greater than that in normal women? Assume a significance level of 0.05.

A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2   years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter     A. mu   ​= The mean life span of the 35 male symphony conductors in the sample   B. p​ = The proportion of all male symphony conductors who life more than 69.5 years   C. mu   ​= The mean life span of all male symphony conductors   D. mu   ​= The mean life span of all males   b. State the null and alternative hypotheses     A. Upper H 0 : mu equals 73.2    Upper H 1 : mu greater than 73.2     B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5     C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5     D. Upper H 0…

The valve pressure was tested on 250 engines and the mean pressure was 5.9 lbs/square inch. Assume the variance is known to be 0.36. If the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs about the specifications?

The time needed to find a parking space is normally distributed with a mean of 20 minutes and a standard deviation of 5.18 minutes. 90% of the time, it takes less than how many minutes to find a parking space?