Part 1: A random sample is selected and a confidence interval is calculated to e

Question

Part 1:

A random sample is selected and a confidence interval is calculated to estimate a parameter. If the confidence level is increased, then the width of the confidence interval will:

a) increase

   b) decrease

    c) remain the same

Part 2:

A company makes compact fluorescent light bulbs. The time that it takes for a bulb to reach full brightness is normally distributed with mean 32.5 seconds and standard deviation 4.5 seconds. What percentage of these bulbs take longer than 30 seconds to reach full brightness?

a)71%

b) 73%

c) 75%

d) 77%

e) 79%

Part 3:

The default rate on small business loans in Europe in recent years has been 16%. A financial analyst in America wants to know if the default rate on small business loans in the U.S. is any different than the rate in Europe. He selects a random sample of small business loans in the U.S. in recent years and determines how many were defaulted. Then he runs a hypothesis test using alpha = .05. If the p-value of the test was .133, then the correct conclusion is

a) reject HO. The percentage of small business loans defaulting in the U.S. is different than the 16% rate of Europe

b) reject HO. There is not enough evidence to say the percentage of small business loans defaulting in the U.S. is different than the 16% rate of Europe

c) fail to reject HO. The percentage of small business loans defaulting in the U.S. is different than the 16% rate of Europe

d) fail to reject HO. There is not enough evidence to say the percentage of small business loans defaulting in the U.S. is different than the 16% rate of Europe

Part 4:

A 95% confidence interval is found to be .40 < p < .48. What is the margin of error for the interval?

a) 4%

5%

8%

44%

95%

a)71%

b) 73%

c) 75%

d) 77%

e) 79%

Explanation / Answer

THESE ARE 4 DIFFERENT QUESTION AND NEED TO BE SOLVED SEPERATELY, I M GIVING U SOLUTION OF 1ST FOR REST REPOST AGAIN

1) IT IS A FACT THAT WHEN THE CONFIDENCE INTERVAL OF THE INTERVAL INCEASES THE WIDTH OD THE INTERVAL INCEASES AS DUE TO THE INCEASES IN CONFIDENCE INTERVAL THE MARGIN OF ERROR INCEASES HENCE WIDTH INCREASES . THEREFORE OPTION A IS CORRECT

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