Given a population with a mean of = 105 and a variance of 2 =

Question:

Given a population with a mean of μ = 105 and a variance of σ² = 16, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 25 is obtained.

a. What are the mean and variance of the sampling distribution for the sample means?

b. What is the probability that x > 106?

c. What is the probability that 104 ≤ x̅ ≤ 106?

d. What is the probability that x ≤ 105.5?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Statistics For Business And Economics

ISBN: 9781292315034

9th Global Edition

Authors: Paul Newbold, William Carlson, Betty Thorne

See More Books

Question Posted: Nov 14, 2022 02:26 AM

See More Questions

Given a population with a mean of = 100 and a variance of 2 = 81, the central limit theorem applies when the sample size is n 25. A random sample of size n = 25 is obtained. a. What are the mean...
Given a population with a mean of = 100 and a variance of 2 = 900, the central limit theorem applies when the sample size is n 25. A random sample of size n = 30 is obtained. a. What are the mean...
Given a population with a mean of = 200 and a variance of 2 = 625, the central limit theorem applies when the sample size n 25. A random sample of size n = 25 is obtained. a. What are the mean and...
A molecule with the molecular formula C11H12N2O2 (relative molecular mass = 204.23) crystallized to form monoclinic crystals with a=18.899 , b=5.7445 , and c=9.309 , with =101.776. The crystal...
If quality means different things to different people, how can you measure it?
Look at the following array definition: Int[] values = new int[10]; a. How many elements does the array have? b. What is the subscript of the first element in the array? c. What is the subscript of...
Management is considering three alternatives to satisfy an urgent need. Each of the alternatives will completely satisfy the need, so no combinations have to be considered. The first costs, operating...
Lewis Companys standard labor cost of producing one unit of Product DD is 4 hours at the rate of $12.00 per hour. During August, 40,600 hours of labor are incurred at a cost of $12.15 per hour to...
Direct labor-hours Machine-hours Total fixed manufacturing overhead cost Variable manufacturing overhead per machine-hour Variable manufacturing overhead per direct labor-hour Required: 1. Compute...
Open orbits an open orbit in monovalent tetragonal metal connects opposite faces of the boundary of a Brillouin zone. The faces are separated by G = 2 x 10 8 cm 1 . A magnetic field B = 10 3 gauss =...
A lease agreement between Lennox Leasing Company and Gill Company is described in IFRS21-10. Refer to the data in IFRS21-10 and do the following for the lessor. (Round all numbers to the nearest...
The financial statements of Marks and Spencer plc (M&S) are available at the books companion website or can be accessed at http:// annualreport.marksandspencer.com/ _assets/ downloads/...
A major American knives producer makes its custom products out of a combination of domestic and foreign parts, especially steel. a. If a custom knife sells for $216 and the value added is 30 percent,...
Multi-branding is marketing of two or more similar and competing products under different brand names by the same firm. Unilever, the Dutch-British transnational consumer goods company, produces...
In June 2016, The Telegraph reported that some doctors in the United Kingdom were receiving payments from pharmaceutical companies for recommending that their drugs should be prescribed to patients...
Vivaan wants to protect her valuables against damage and theft. If there is a $25 \%$ probability of burglary and she wishes to purchase insurance that would fully reimburse her for a loss of up to...
Suppose that the fine for illegally parking a car is $ 3,200$ and that a fine amount of 1,760 is sufficient for discouraging most people from parking their cars illegally. How high must the...
The Government of India introduced a crop insurance scheme in February 2016 to provide financial support to farmers in the event of crop failure due to natural calamities, pests, and disease....
Kerry Katons is a geologist working for a mining company. Kerry spends a great deal of her time on field trips studying rocks and ground truthing maps which have been developed from aerial and...
Problem 2. (0.6 points, 0.2 points for each question) (a) A company turns its inventory 2 times a month. Its months-of-supply = Its days-of-supply = Please show your analysis below: _months. days. (1...
Suppose that for a random sample of 200 firms that revalued their fixed assets, the mean ratio of debt to tangible assets was 0.517 and the sample standard deviation was 0.148. For an independent...
A researcher intends to estimate the effect of a drug on the scores of human subjects performing a task of psychomotor coordination. The members of a random sample of 9 subjects were given the drug...
Calculate the margin of error for each of the following: a. nx = 280 p`x = 0.75 ny = 320 p`y = 0.68 b. nx = 210 p`x = 0.51 ny = 200 p`y = 0.48
You are about to purchase a $10m apartment building that you anticipate will have a first-year PGI of $515,000, Operating Expenses of $95,000, and an NOI of $400,000. You anticipate NOI will increase...
Acme Companys production budget for August is 18,000 units and includes the following component unit costs: direct materials, $8.00; direct labor, $11.20; variable overhead, $6.00. Budgeted fixed...
Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power Drive has 100,000 shares of common stock outstanding as of the beginning of 2018. Power Drive has the...

Given a population with a mean of = 105 and a variance of 2 =

Question:

Step by Step Answer:

Statistics For Business And Economics

Students also viewed these Statistics questions