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Chapter 7: Q.14 (page 428)
Find the sum that is standard deviations below the mean of the sums.
The required sum is.
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An unknown distribution has a mean of and a standard deviation of . A sample size of is drawn randomly from the population.
Find the probability that the sum of the values is greater than .
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.
Find the percentile for the mean weight for the weights.
An unknown distribution has a mean of and a standard deviation of . A sample size of is drawn randomly from the population.
Find the probability that the sum of the values is less than .
The mean number of minutes for app engagement by a table use is minutes. Suppose the standard deviation is one minute. Take a sample size of .
a. What is the probability that the sum of the sample is between seven hours and ten hours? What does this mean in context of the problem?
b. Find the and percentiles for the sum of the sample. Interpret these values in context.
An unknown distribution has a mean of 25 and a standard deviation of six. Let X = one object from this distribution. What is the sample size if the standard deviation of ΣX is 42?
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