1.The weight of potato chip bags marketed as 16-ounce bags follows a distribution that has a mean of 17.0 ounces and a standard deviation of 1.0 ounces. Suppose a sample of 100 of these bags of potato chips has been randomly sampled.
The mean weight of the 100 bags would be considered a ____________________ and the mean weight of all bags would be considered a __________________.
2. Suppose we repeatedly sampled from a population and created multiple values of a sample statistic. If we were to plot all those values on a number line, the resulting "piling up" of the statistics would best be described as ________________.
A. a sampling distribution.
B. a point estimate.
C.a parameter a statistic.
3. The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated.
3-1. Describe the shape of the sampling distribution of the sample mean.
A. Skewed to the left
B. Approximately normal
C. A Chebyshev distribution
D. Skewed to the right
3-2. Find the probability that the sample mean driving distance exceeds 8 miles.
A. Approximately 0
B. .1587
C. .8413
D. Approximately 1
4..The weight of potato chip bags marketed as 16-ounce bags follows a distribution that has a mean of 17.0 ounces and a standard deviation of 1.0 ounces. Suppose a sample of 100 of these bags of potato chips has been randomly sampled
Describe the mean and standard deviation for the sampling distribution of the sample mean .
A. mean = 17 ounces, standard deviation = 1.0 ounces
B. mean = 17 ounces, standard deviation = .10 ounces
C. mean = 1.7 ounces, standard deviation = 1.0 ounces
D. mean = 1.7 ounces, standard deviation = .10 ounces
5. Parking at school can be extremely difficult at times. The university is trying to determine the location of a new parking garage. As part of their research, officials are interested in estimating the average parking time of students from within the various colleges on campus. A survey of 338 College of Business (COBA) students yields the following descriptive information regarding the length of time (in minutes) it took them to find a parking spot. Use it to answer the following questions. Note that the “Lo 95%” and “Up 95%” refer to the endpoints of the desired confidence interval.
Variable N Lo 95% CI Mean Up 95% CI SD Parking Time 338 9.1944 10.466 11.738 11.885
5-1. Give a practical interpretation for the 95% confidence interval given above.
A. We are 95% confident that the average parking time of all COBA students falls between 9.19 and 11.74 minutes.
B. 95% of the COBA students had parking times of 10.466 minutes.
C. We are 95% confident that the average parking time of the 338 COBA students surveyed falls between 9.19 and 11.74 minutes.
D. 95% of the COBA students had parking times that fell between 9.19 and 11.74 minutes.
5-2. Explain what the phrase “95% confident” means when working with a confidence interval.
A. In repeated sampling, 95% of the sample means will fall within the interval created.
B. 95% of the observations in the population will fall within the endpoints of the interval.
C. In repeated sampling, 95% of the population means will fall within the interval created.
D. In repeated sampling, 95% of the intervals created will contain the population mean.
5.1 .the 95% confidence interval means
We are 95% confident that the average parking time of all COBA students fall between 9.19 and 11.74 minutes.
Option A
5.2 .
95% confident means
In repeated sampling 95% of the intervals created will contain the population mean.
Correct option D .
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