The weights of parcels that are dropped off at a local shipping center can be represented by a random variable X that is normally distributed with mean µx=70 and standard deviation ox=10. Determine the following: %3D What is P [X > 50] = ? %3D Select one: O a. 0.9772 O b. 0.8675 O c. 1.1225

A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OA. Ho Hd #0 HA Hd=0 OC. Ho Hd ≤0 HA Hd >0 Calculate the standardized test statistic t= (Round to three decimal places as needed.) Calculate the P-value P-value= (Round to four decimal places as needed) State the conclusion. 1 205 204 Ho. There C 2 225 222 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be…

The mean diameter of a ball bearing produced by a certain manufacturer is 0.60 cm with a standard deviation of 0.04 cm. A sample of 25 ball bearings is randomly selected from a production run. The sample had a mean of 0.60008 and a median 0.60333. What is the standard error for the sample mean? O A. 0.00032 O B. 0.008 O C. 0.0016 O D. 0.00008 O E. 0.00333

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 :   Find the value of the test statistic. Round your answer to three decimal places.

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.01 significance level to test for a difference between the measurements from the two arms. Identify the test statistic and p-value.     A. T = -4.01, p-value = 0.016   B. T = -3.07, p-value = 0.037   C. T = -2.32, p-value = 0.081   D. T = -1.93, p-value = 0.127