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Q1 In a random sample of 18 families, the average weekly food expense was $95.60

ID: 3356805 • Letter: Q

Question

Q1

In a random sample of 18 families, the average weekly food expense was $95.60 with a standard deviation of $22.50. what are the lower limit and upper limit confidence interval values for a 95% confidence level

a. LL: 86.37, UL: 104.83

b. LL: 84.41, UL: 106.79

c. LL: 82.21 UL: 105.99

Q2

If all other quantities remain the same, what affect does increasing the sample size n, have on the width of the confidence interval?

It will widen the confidence interval

It will make the confidence interval more narrow

It will have no affect on the confidence interval

Q3

If all other quantities remain the same, what affect does increasing the standard deviation, have on the width of the confidence interval?

It will widen the confidence interval

It will make the confidence interval more narrow

It will have no affect on the confidence interval

Q4

The parameter that is the result of standard deviation divided by the square root of n, the sample size, is referred to as

A Point Estimate

An Interval Estimate

Level of Confidence

Margin of Error

Standard Error

Q5

Find the critical t value for a 95% confidence interval and a sample size, n, equal to 16

2.947

2.131

2.602

1.753

None of the above

Q6

Find the critical t value for a 90% confidence interval and a sample size, n, equal to 10

2.262

3.25

1.812

1.833

None of the above

a.

It will widen the confidence interval

b.

It will make the confidence interval more narrow

c.

It will have no affect on the confidence interval

Explanation / Answer

Answer - 1) The statistical software output for this problem is:

One sample T summary confidence interval:
: Mean of population

95% confidence interval results:

Hence,

LL = 84.41

UL = 106.79

Option B is correct.

Answer - 2)

It will make the confidence interval more narrow

Option B is correct.

Answer - 3)

It will widen the confidence interval

Option A is correct.

Answer - 4) Standard Error

Option E is correct.

Mean Sample Mean Std. Err. DF L. Limit U. Limit 95.6 5.3033009 17 84.411013 106.78899