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Suppose that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed.
A.) If an individual is selected at random, find the probability that the person's pressure will be between 118 and 121.8mm Hg.
B.) If a sample of 30 adults is selected at random, find the probability that their mean pressure will be between 118 and 121.8mm Hg.
When we move from the basic normal distribution to the sampling distribution of the mean we substitute the standard error of the mean for the standard deviation when we make the conversion to the standardized normal distribution.
What is the optimal strategy for producing 500 tons of newsprint pulp, 600 tons of packaging pulp, and 300 tons of print stock quality pulp at minimum cost?
Consider the following time plot of the values of variable Y for each month of a 60-month period. This plot displays
Testing for Population mean - Can the difference in average educational level between the sample and the nation be explained by chance variation?
Fifty raffle tickets are numbered 1 throughout 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 8? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 6 ..
Develop percent frequency distribution and construct bar chart and pie chart.
Scores on a test have a mean of 73 and Q3 is 81. The scores have a distribution that is approximately normal. Find P90.
Muscular dystrophy is an incurable muscle-wasting disease. The most common and serious type, called DMD, is caused by a sex-linked recessive mutation. Specifically; women can be carriers but do not get the disease; a son of a carrier has probabili..
Assume it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately normal with mean $25 and standard deviation $8.
For a two-tailed test of hypothesis (.01 significance level) to determine if there is a difference in the population means, the degrees of freedom are
What is the probability that a particular driver has two speeding violations.
If Chebychev Inequality gives the lower bound for probability. For the present problem the lower bound for the probability is 0.75 and actual probability is 0.87.
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