Use the following information to answer the next six exercises: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of hours. Let be the random variable representing the time it takes her to complete one review. Assume is normally distributed. Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
1. What is the mean, standard deviation, and sample size?
Standard deviation hours
Sample size .
Mean, sample size, standard deviation are the statistical terms used for measuring problems in statistics.
A low standard deviation indicates data are bunched close to the mean, and high standard deviation points data are more spread out.
The sample size means a phrase utilized in market analysis for determining the number of subjects contained in a sample size.
A manufacturer produces -pound lifting weights. The lowest actual weight is pounds, and the highest is pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of weights is taken.
a. What is the distribution for the weights of one -pound lifting weight? What is the mean and standard deviation?
b. What is the distribution for the mean weight of -pound lifting weights?
c. Find the probability that the mean actual weight for the weights is less than .
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