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Q1) Manager of two resort properties was interested in any important difference in willingness of guests to return to two properties. A sample of 227 guests at "The Beachcomber" resulted in 163 who said that they would select that property again. Sample of 262 guests at "The Windsurfer" resulted in 154 who said they would select that property again. Using 5% level of significance, is there any difference in proportion of guests who would select two resorts? What is your conclusion?
Q2) Manager at light bulb factory wishes to find out whether there is any difference in mean life expectancy of bulbs manufactured on two various kinds of machines. Population standard deviation of machine I is 100 hours and of machine II is 115 hours. Random sample of 30 light bulbs from machine I points out sample mean of 375 hours, and similar sample of 30 from machine II points out sample mean of 362 hours. At 5% level of significance, is there evidence of difference in mean life of bulbs produced by the two kinds of machines. What is your conclusion?
Find out sample correlation coefficients of (I) age with dry weight, and (2) age with log 10 dry weight. Interpret your results.
A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y). Consequently, the group considered the linear regression model:
Determine the most economical monthly shipping schedule. Provide a table showing the routes and total costs.
Recent actual and forecasted data for product XYZ is given in the following table.
If we select one box of cereal at random from this population, what is the probability that it will weigh less than 915 grams?
Find out the upper and lower bounds on average life expectancy of the Canadian women such that at least 90% of all population is included.
Find a 90% confidence interval for the difference between the proportion of men and the proportion of women who approved of Reagan's performance. What assumption do you make to use this method?
Use this information to construct a probability table, and then calculate each of the following probabilities:
To find out the alternate hypotheses also critical value. A truck dealer claims where a new model will give trouble free service for at least 15,000 miles.
If the computed value for this problem is +2.33, and the level of significance is 0.05, can we conclude that the recall proportions for the two commercials are same?
You have two unbiased estimates, e 1 and e 2 , of a quantity with variances V 1 and V 2 respectively, and covariance Cov {e1,e 2 } = C. Form a new unbiased estimate:
Assuming the population is large, which sample size will give the smallest standard deviation to the statistic and select the numbers for the first five to be interviewed.
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