IT-Mobile Wi-Fi11:06 PM Close WeBWorK : EBF 472. Previous Problem List Next (10

Question

IT-Mobile Wi-Fi11:06 PM Close WeBWorK : EBF 472. Previous Problem List Next (10 points) A random sample of n measurements was selected from a population with standard deviation -15.3 and unknown mean . Calculate a 90 % confidence interval for for each of the following a) n- 55, -74.2 (b) n = 70,F = 74.2 (c) n-85, -74.2 (d) In general, we can say that for the same confidence level, increasing the sample size the margin of error (width) of the confidence interval. (Enter: DECREASES". "DOES NOT CHANGE" or "INCREASES", without the quotes.) Note: You can earn partial credit on this

Explanation / Answer

Using Minitab Software.

One-Sample Z

The assumed standard deviation = 45.3

N Mean SE Mean 90% CI
55 74.20 6.11 (64.15, 84.25)

One-Sample Z

The assumed standard deviation = 45.3

N Mean SE Mean 90% CI
70 74.20 5.41   (65.29, 83.11)

One-Sample Z

The assumed standard deviation = 45.3

N Mean SE Mean 90% CI
85 74.20 4.91    (66.12, 82.28)

Correct option is DECREASES

Hope this will be helpful. Thanks and God Bless You :)

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