Chapter 7: Q.28 (page 429)
What three things must you know about distribution to find the probability of sums?
We must know: mean, standard deviation and sample size of the distribution.
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Find the probability that the sum of the values is greater than.
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about and a standard deviation of about ten. Suppose that individuals are randomly chosen. Let role="math" localid="1648361500255" average percent of fat calories.
a. _____ (______, ______)
b. For the group of , find the probability that the average percent of fat calories consumed is more than five. Graph the situation and shade in the area to be determined.
c. Find the first quartile for the average percent of fat calories.
7.7 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.
A uniform distribution has a minimum of six and a maximum of ten. A sample of is taken.
Find the th percentile for the sums.
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 probability that the mean actual weight for the weights is greater than .
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