Determining the normal population with mean

Reference no: EM131002572

The variance of a sample of size n = 20 drawn from a normal population with mean 100 and variance 10 was obtained as s2 = 9.5.

(i) Determine the probability that S2 ≤ 10.

(ii) Determine the probability that S2 ≤ 9.5.

(iii) If the sample size increased by 50% but the computed sample variance remained the same, recompute the probability S2 ≤ 9.5.

(iv) Repeat part (iii) when the sample size is decreased from the original value of 50 by 50%.

Reference no: EM131002572

Questions Cloud

Planning diets for the food stamp program : The United States Department of Agriculture (USDA) is responsible for managing and administering the national food stamp program. This program provides vouchers to low income families that can be used in place of cash to produce food at grocery store..

Compute the speci?c value for the sample mean : Consider that the standard practice is for the quality control lab to select a sample of ns ball bearings, compute the speci?c value for the sample mean, x¯, and plot it on a chart with the following characteristics:

Determine free cash flows for dell in each : Determine free cash flows for Dell in each of the three years reported. Compare that amount with net income each year. What pattern do you detect?

Interested in promoting an art in the park : Imagine you are interested in promoting an Art in the Park weekend event. What types of forms might you need? What types of information would you need to collect, and which form controls would work best for collecting that information? (for example, ..

Determining the normal population with mean : The variance of a sample of size n = 20 drawn from a normal population with mean 100 and variance 10 was obtained as s2 = 9.5.

Dark traits under the trait approach of leadership : What are the three dark traits under the trait approach of leadership

Use the labor-leisure choice model to illustrate graphically : For each group identified in bold type below, use the labor-leisure choice model to illustrate graphically and then explain the change in the quantity of leisure desired. Be sure to explain how the group’s labor force participation rate is affected.

Appropriate fiscal policy to help stabilize the economy : Explain the most appropriate fiscal policy to help stabilize the economy. What are the implications of using fiscal policy to help stabilize an economy that is in a recession?

New standard deviation : What is the standard deviation σX¯ of the sample mean? If the sample size were reduced by 50%, what will be the new standard deviation σX¯ of the sample mean? To reduce the standard deviation to 50% of the value in (i), what sample size will be need..

User Account

All Pages