Compute the sampling distribution of the sample mean

Reference no: EM131001487

The following data is sampled from an exponential population with unknown parameter β.

6.99	2.84	0.41	3.75	2.16
0.52	0.67	2.72	5.22	16.65
10.36	1.66	3.26	1.78	1.31
5.75	0.12	6.51	4.05	1.52

(i) On the basis of the exact sampling distribution of the sample mean, X¯, determine a 95% con?dence interval estimate of the population parameter, β.

(ii) Test the hypothesis H0: β = 4 versus the alternative H0: β /= 4. What is the p-value associated with this test?

(iii) Repeat the test in (ii) using the normal approximation (which is not necessarily valid in this case). Compare this test result with the one in (ii).

Reference no: EM131001487

Questions Cloud

What is the effect of this transaction on the company assets : What is the effect of this transaction on the company's assets, liabilities, and income before income taxes?

Difference between public and commercial television : What is the difference between Public and Commercial television stations?

Analyzing the pros and cons of fulfilling online orders : In order for me to increase your grade, you will need to complete an extra assignment. Please complete a three page paper analyzing the pros and cons of fulfilling online orders from stores instead of from warehouses in an omnichannel setting

Find the apv of each of the given contracts : Find the APV of each of the following contracts. At time 0 the process is in state 0. A contract provides for a payment of 1000 at time k, k = 0, 1, 2, 3, provided the process is in state 0 at time k.

Compute the sampling distribution of the sample mean : The following data is sampled from an exponential population with unknown parameter β.

How much interest revenue will the company recognize : How much interest revenue will the company recognize during 2011? In 2012?

Find magnitude of magnetic field at the center of loop : Part of a long, straight wire is bent into a circular loop of radius R such that the current flows from the left, then around the loop, and then out to the right (see figure). Find the magnitude of the magnetic field at the center of the loop. (us..

Difference between these two population proportions : Two binomial population proportions are suspected to be approximately 0.3, but they are unknown precisely. Using these as initial estimates, it is desired to conduct a study to determine the difference between these two population proportions.

What was the beginning of year balance in accounts : Refer to the situation described in BE 7-10. If credit sales for the year were $8,200,000 and $7,950,000 was collected from credit customers, what was the beginning-of-year balance in accounts receivable?

User Account

All Pages