Q. 3 A researcher calculated the negative predictive value of a test for carriers of X-linked ornithine transcarbamylase deficiency (OTCD - a disorder of the urea cycle). A test known as the “allopurinol test" is often used as a screening device of potential carriers whose relatives are OTCD patients. Sensitivity and specificity of the allopurinol test is estimated the as 0.927 and 0.997 respectively Also the prevalence is estimated in the population of individuals with OTCD as (1/32000). Use this information and Bayes theorem to calculate the predictive value negative of the allopurinol

Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about  1550  miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of  19  recent mileages of Citrus cars was taken. The mean of these  19  mileages was  1532  miles per month, and the standard deviation was  208  miles per month.   Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the  0.1  level of significance, can it be concluded that the mean recent monthly mileage,  μ , of Citrus cars is less than  1550  miles per month?   Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as…

Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 15 recent mileages of Citrus cars was taken. The mean of these 15 mileages was 1517 miles per month, and the standard deviation was 201 miles per month.   Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month?   Perform a one-tailed test. Then complete the parts below.

Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 11 recent mileages of Citrus cars was taken. The mean of these 11 mileages was 1332 miles per month, and the standard deviation was 232 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, u, of Citrus cars is less than 1500 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…