Estimating Population Mean Sigma Known

What is the confidence level of a confidence interval?

• The margin of error of the interval

• The maximum error of estimation of the interval

• The probability that the drawn samples would produce intervals that contain the true population mean

• The probability that the interval does not contain the population mean

What is the margin of error for a 98% confidence interval?

What is the purpose of interval estimation?

• To calculate the mean squared error of the population mean

• To provide a single point estimate of the population mean

• To provide an upper and lower boundary for the population mean

• To estimate the population standard deviation

What is the margin of error in a confidence interval?

• The largest possible distance from the point estimate that the interval will cover

• The smallest possible distance from the point estimate that the interval will cover

• The difference between the upper and lower boundaries of the interval

• The difference between the sample mean and the population mean

The mean of the sampling distribution for average taxi fare where the sample size is 25 is _____.

A research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend exercising each week. They want to estimate the mean within a margin of error of 0.5 hours with a 95% level of confidence. Previous data suggests that the standard deviation of the population is 2.2. Which of the following is the smallest sample size they could use?

• 60

• 75

• 90

• 180

In a sample of 50 people in a town, the average yearly consumption of fruits is found to be 75 kilograms with a margin of error of 10 kilograms. Estimate the total yearly consumption of fruits in kilograms for the town's population of 2000 people.

• 130,000 kg-170,000 kg

• 110,000 kg-120,000 kg

• 180,000 kg- 200,000 kg

• 130 kg- 170 kg

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 200

• 16

• 25

• 4

Tags

(SR.DSR.4.3

If the mean of a sample is 203 and the margin of error is 4.6, what would be a reasonable mean for the population?

• 99.2

• 198.3

• 207.2

• 207.7

If the population mean is 50 and the standard deviation is 10, what is the mean of the sampling distribution if the sample size is 100?

• 75

• 25

• 50

• 100