Question

Multiple choice

1.If a confidence interval is constructed at a confidence level of 99% instead of 95%

a.Estimation precision decreases
b.The precision of the estimate is not altered
c.Estimation accuracy improves significantly
d.We can accurately calculate the value of the parameter of interest

2.The confidence level in a confidence interval represents:

a.The probability that that particular interval contains the true value of the parameter
b.How sure we are of having correctly estimated the parameter
c.None of the options exposed
d.The probability that the actual value of the parameter is within that range at any given time.

3.the following confidence interval for µ1 - µ2: [-0.32, 0.86], the following can be concluded

a.That there is no significant difference between the means of both populations

b.That both stockings are small

c.That µ1 is greater than µ2

d.That µ2 is greater than µ1

4.If the sample size is increased in a hypothesis test, keeping the α fixed, the type II error:

a.Increases
b.Decreases
c.It does not change
Can't predict what will happen

Answer 1

1.If a confidence interval is constructed at a confidence level of 99% instead of 95%

a.Estimation precision decreases
b.The precision of the estimate is not altered
c.Estimation accuracy improves significantly
d.We can accurately calculate the value of the parameter of interest

answer = option c is correct

because as we increase our confidence level the width of the confidence interval increases. which means there is now higher probability to catch the Population parameter .

2.The confidence level in a confidence interval represents:

a.The probability that that particular interval contains the true value of the parameter
b.How sure we are of having correctly estimated the parameter
c.None of the options exposed
d.The probability that the actual value of the parameter is within that range at any given time.

answer = option d is correct statement.

3.the following confidence interval for µ1 - µ2: [-0.32, 0.86], the following can be concluded

a.That there is no significant difference between the means of both populations

b.That both stockings are small

c.That µ1 is greater than µ2

d.That µ2 is greater than µ1

answer f= option a is correct because confidence of difference in means contain 0 in the range of interval. on the basis of which we can conclude that there is no significant difference in means

4.If the sample size is increased in a hypothesis test, keeping the α fixed, the type II error:

a.Increases
b.Decreases
c.It does not change
Can't predict what will happen

answer = option a is correct because Other things being equal, the greater the sample size, the greater the power of the test  which is type 2 error.

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