A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: Low TemperatureHigh Temperature 21.2 20.9 19.8 20.3 17.9 17.6 18.3 15.9 16.5 20.5 21.3 17.8 16.1 18.7 20.8 19.7 16.4 17.2 S-0.9709 21.5 20.3 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances. b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances.

This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used.  0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean.  0.5 point for finding the correct probability.   All work must be shown in order to receive any credit.  Please upload your completed assignment here.    The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.

Given a normal distribution with a mean of 50 and a standard deviation of 7 assign the values to the axis below for the mean and the 3 values above and below the mean

A random sample of size 1,000 is taken from a population where the population proportion p = .02. What is the mean of the sample proportions?

A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)

Given a Normal Distribution with standard error of 8 from a population with a mean of 120 and a standard deviation of 48, then find the sample size (i.e. how many people or items were sampled from the population?).

The following is a sample of patient's calcium tests in mg/dL.  9.3 8.8 10.1 8.9 9.4 9.8 10.0 9.9 11.2 12.1 Find each of the following: The mean: The median: The third quartile: The standard deviation: The variance:

A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.

A farm hatches chicken eggs in batches of 15 and there is a 3% infertile rate. Find the standard deviation for the number of infertile eggs per batch. 0.2 O 0.44 0.45 O 0.66 O 43.7

answer d)