1A) Twenty laboratory mice were randomly divided into two groups of 10. Each group was fed...

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1A) Twenty laboratory mice were randomly divided into two groupsof 10. Each group was fed according to a prescribed diet. At theend of 3 weeks, the weight gained by each animal was recorded. Dothe data in the following table justify the conclusion that themean weight gained on diet B was greater than the mean weightgained on diet A, at the ? = 0.05 level of significance?Assume normality. (Use Diet B - Diet A.)

Diet A697131113811614
Diet B212112921149161023


(a) Find t. (Give your answer correct to twodecimal places.)


(b) Find the p-value. (Give your answer correct tofour decimal places.)

1B) A bakery is considering buying one of two gas ovens. Thebakery requires that the temperature remain constant during abaking operation. A study was conducted to measure the variance intemperature of the ovens during the baking process. The variance intemperature before the thermostat restarted the flame for theMonarch oven was 2.2 for 23 measurements. The variance for theKraft oven was 3.2 for 21 measurements. Does this informationprovide sufficient reason to conclude that there is a difference inthe variances for the two ovens? Assume measurements are normallydistributed and use a 0.02 level of significance.

(a) Find F. (Give your answer correct to twodecimal places.)


(b) Find the p-value. (Give your answer correct tofour decimal places.)

Answer & Explanation Solved by verified expert
3.5 Ratings (454 Votes)
1A Assuming Normality to test the equality of means we firstneed to test the homogeneity of variance using F testTo test Vs The test statistic is given bywhere and denotes the sample variances of A and B computed using theformulawhere 98 is the sample mean of Diet Aand where 156    See Answer
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