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Determine the correct responce for the follwing statistics questions prt A-C "The business college computing center...

Question

Determine the correct responce for the follwing statistics questions prt A-C "The business college computing center...
Determine the correct responce for the follwing statistics questions prt A-C
The business college computing center wants to determine the proportion of business students who lave personal computers (PC
Determine the critical value for a right-tailed test of a population mean at the a = 0.001 level of nificance with 15 degrees
"The business college computing center wants to determine the proportion of business students who lave personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 mave PC's at home. What assumptions are necessary for this test to be satisfied? (4 pts)
Determine the critical value for a right-tailed test of a population mean at the a = 0.001 level of nificance with 15 degrees of freedom. (2 pts) Determine the critical values for a two-tailed test of a population mean at the a = 0.01 level of nificance based on a sample size of n = 29. (2 pts)

Answers

#1)

Assumptions : 1) The random sample of 300 students should be independently selected from the normally distributed population.

2) n*p and n*q both must be greater than 5

3) Sample size n is no more than 5% of the population size.

#2) α = 0.001 , One right tail test , df = 15

a (1 tail) 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 a (2 tail) 0.1 0.05 0.02 0.01 0.005 0.002 0.001 13 1.7709 2.1604 2.6503

For right tail test critical value is positive

So critical value is 3.7328

#3) α = 0.01 , two tail test , n = 29 , df = 29 - 1 = 28

a (1 tail) 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 a (2 tail) 0.1 0.05 0.02 0.01 0.005 0.002 0.001 26 1.7056 2.0555 2.4786

For two tail test, there are two critical values one is negative and another is positive

So critical values are -2.7633 and 2.7633


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