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Posted: January 6th, 2023
Proctor and Gamble reported that an American
Show all appropriate work and probability should be rounded to 4 decimal places1. Proctor and Gamble reported that an American family of four washes an average of 2678pounds of clothes each year. If the standard deviation of the distribution is 172.5 pounds, findthe probability that the mean of a randomly selected sample of 55 families of four will bebetween 2530 and 2695 pounds.2. A medical researcher wishes to determine the percentage of females who take vitamins. Hewishes to be 99% confident that the estimate is within 3.1 percentage points of the trueproportion. A recent study of 315 females showed that 77% took vitamins. How large shouldthe sample size be?3. The following data are the calories per half-cup serving for 16 popular chocolate ice creambrands.320250175280160195285195160170160190110180225145Estimate the true mean calories per half-cup serving of chocolate ice cream with 90%confidence. Include an interpretation statement with your answer.4. An educator claims that the average salary of substitute teachers in school districts in NC earnmore than $73 per day. A random sample of ten districts is selected, and the daily salaries aregiven below. With α = 0.05, is there enough evidence to support the claim?715568567060655879815. A survey found that the average hotel room rate in New Orleans is $205.67 and the averageroom rate in Phoenix is $199.67. Assume that the data were obtained from two samples of 64hotels each and that the standard deviation of the populations is $29.30 and $31.45, respectively.At0.05, can it be concluded that there is a significant difference in the rates?
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