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The weights of the 100 boys in the Boy Scout Troop 829 are normally distributed with a mean of 170 pounds and a standard deviation of 5 pounds.
a. What is the probability that a boy picked at random weighs less than 165 pounds?
b. How many boys would you expect to weigh between 161 and 173 pounds?
c. Find the 96th percentile.
d. Find the cutoff values which represents the middle 80% of their weight.
At the .01 significance level, can we conclude that there is more variation in the selling prices of the oceanfront homes?
Find the range and the standard deviation of the times.
Suppose you always reject the null hypothesis, regardless of any sample evidence.
What is the probability that the drug will be effective for 2 hours or less?
Find a 95% confidence interval for the mean amount of money µ spent at the waiter's tables.
Describe the meaning of alternatives, criteria and states of nature. How are they utilized in decision analysis?
Suppose that among all participants, the mean test score is 70.07 and the standard deviation is 10.27. Use z-scores to interpret a raw score of 80. What is the corresponding z-score? How would you interpret this result? Show your work.
Do you use probability in your profession or real life? You most likely do. For example, chance of rain tomorrow is 27%. We hear similar probabilities in the media all the time.
A beverage company is trying to ?nd out the distribution of the breaking strength of their glass bottles. Fifty bottles are selected at random and tested for breaking strength, with the following results (in pounds per square inch):
Critically discuss the purpose of developing a frequency distribution? What is the relationship between the relative frequency and the cumulative frequency? Could a frequency distribution contain qualitative data? Why?
Assuming that all other variables are held constant, explain how the value of z influenced by each of the following:
Most businesses use some form of linear regression in forecasting future conditions. Give an example of the use of regression analysis at your organization. What were the independent and dependent variables?
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