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Additional problems for first half of semester

# Additional problems for first half of semester - 31.The...

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31.The mean of a normally distributed group of weekly incomes of a large group of executives is \$2,000 and the standard deviation is \$120. What is the z -score for an income of \$1,900? 32. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 "squared ounces." The company wants to classify the unit as a good unit in a maximum of 98% of the units if the weight is above a desired value. Determine the desired weight. 33. Assume that 55% of the actual voters in election for state governor support the incumbent governor (p = 0.55). Calculate the probability of observing a sample proportion of voters 0.54 or less supporting the incumbent governor. 34. Bank tellers with six years of experience have a mean income of \$38,000 per year. The known standard deviation is \$2,500. What is the probability that the mean income of a random sample of 35 tellers will be less than \$38,700? 35. You want to estimate the proportion of customers who are satisfied with their supermarket at level of confidence of .92, and within .025 of the true value. How large of a sample is needed? 36. You want to estimate the proportion of customers who are satisfied with their supermarket at level of confidence

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Additional problems for first half of semester - 31.The...

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