A paint manufacturer wished to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows. Type A Type B X1 76.9 X2 63.7 $1 4.5 s2 5.1 n1 = 11 n2 9 Construct a 98% confidence interval for the difference between the mean drying time for paint of type A and the mean drying time for paint of type B. Round your answer in 2 decimal places
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- A large nationwide survey showed that 65% of high school students like Coca-Cola better than Pepsi. Dr.Johnson conducted a small survey of randomly selected high school students in Michigan and found that 180 ofthe 300 surveyed students liked Coca-Cola better than Pepsi. Test if the proportion of students that preferCoca-Cola over Pepsi is significantly different than the percentage indicated by the nationwide survey with asignificance level of 5%.A simple random sample of heights of 6400Englishmen has a mean of 67.85 inches and SD 2.56 inches, while a simple random sample of heights of 1600 Australians has a mean of 68.55 inches and SD of 2.52 inches. D the data indicate that Australians are, on the average, taller than Englishmen?Recent incidents of food contamination have caused great concern among consumers. The article “How Safe Is That Chicken?” (Consumer Reports, Jan. 2010: 19–23) reported that 35 of 80 randomly selected Perdue brand broilers tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food-borne disease, whereas 66 of 80 Tyson brand broilers tested positive. If the true proportions of non-contaminated chickens for the Perdue and Tyson brands are .50 and .25, respectively, how likely is it that the null hypothesis of equal proportions will be rejected when a .01 significance level is used and the sample sizes are both 80?
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