Elementary Statistics MATH 2233 Take Home Final Exam Directions: write your answ

Question

Elementary Statistics MATH 2233 Take Home Final Exam Directions: write your answers on a separate sheet(s) of paper. M&M; candies have 6 different color coatings in a standard single serving bag: blue, geen, orange, and yellow. the number ofeach color that in an individual bag may not be to see if the mean number of red M&Ms; is greater than the mean number of blue M&Ms; (the two most recent color additions) for 479 gram bags of M&M; Milk 24. State the test hypotheses for this hypothesis test. ppino) 2s. What would be the values of the test statistic for tis hypothesis test? spointe 26. What is the P value of the test statistic determined in question 25? Spoint) 27. What would be the decision for this hypothesis test? apointv 28, State the conclusion, based on the selected decision, about whether the mean of number IT 15 red M&M;'s is than the mean number of blue MaM's per bag greater 29. What rational could be used to eliminate a data element such as 7 or 1.sfom the list of data for blue M&M;'sifit had appeared? points)

Explanation / Answer

24.

Null hypthesis: There is no significant difference between averages of Blue MMs and Red MMs

Alternative Hypothesis: There is significantly average of Red is more than Average of Blue.

at 5% level of significance, we may conclude that There is signficantly AVerage of Blue is higher than AVerage of REd.

t-Test: Paired Two Sample for Means Blue Red Mean 11.1 8.3 Variance 23.67931034 26.90689655 Observations 30 30 Pearson Correlation -0.17062714 Hypothesized Mean Difference 0 df 29 t Stat 1.99 P(T<=t) one-tail 0.03 t Critical one-tail 1.70

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