# Answer to Question #17202 in Statistics and Probability for Kristen

Question #17202

1. The new Twinkle bulb has a standard deviation hours. A random sample of 60 light bulbs is selected from inventory. The sample mean was found to be 500 hours.

a. Find the margin of error E for a 95% confidence interval.

Round your answer to the nearest hundredths. .

b. Construct a 95% confidence interval for the mean life, of all Twinkle bulbs.

2. A standard placement test has a mean of 125 and a standard deviation of = 15. Determine the minimum sample size if we want to be 90% certain that we are within 3 points of the true mean.

3. An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 20 randomly selected eggs and found that the mean amount of cholesterol was 180 mg. The sample standard deviation was found to be s = 25.0 mg on this group. Assume that the population is normally distributed.

a. Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths.

b. Find a 95% confidence interval for the mean cholesterol content for all experimental eggs. Assume that the population is normally distributed.

4. The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 120 of these new bulbs is selected from the production line. It was found that 90 lasted more than 1000 hours.

a. Construct a 99% confidence interval for the population proportion “p” of all Twinkle bulbs. Round to the nearest three decimals.

b. Construct a 95% confidence interval for the population proportion “p” of all Twinkle bulbs. Round to the nearest three decimals.

a. Find the margin of error E for a 95% confidence interval.

Round your answer to the nearest hundredths. .

b. Construct a 95% confidence interval for the mean life, of all Twinkle bulbs.

2. A standard placement test has a mean of 125 and a standard deviation of = 15. Determine the minimum sample size if we want to be 90% certain that we are within 3 points of the true mean.

3. An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 20 randomly selected eggs and found that the mean amount of cholesterol was 180 mg. The sample standard deviation was found to be s = 25.0 mg on this group. Assume that the population is normally distributed.

a. Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths.

b. Find a 95% confidence interval for the mean cholesterol content for all experimental eggs. Assume that the population is normally distributed.

4. The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 120 of these new bulbs is selected from the production line. It was found that 90 lasted more than 1000 hours.

a. Construct a 99% confidence interval for the population proportion “p” of all Twinkle bulbs. Round to the nearest three decimals.

b. Construct a 95% confidence interval for the population proportion “p” of all Twinkle bulbs. Round to the nearest three decimals.

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