Task 2:

The advertised net weight of a bag of M&Ms is 47.9 grams.

Note: we are only analyzing weight so you only need the last column of data.

Here is data collected for 30 bags of M&Ms

Red Green Blue Orange Yellow Brown Weight

15 9 3 3 9 19 49.79

9 17 19 3 3 8 48.98

14 8 6 8 19 4 50.40

15 7 3 8 16 8 49.16

10 3 7 9 22 4 47.61

12 7 6 5 17 11 49.80

6 7 3 6 26 10 50.23

14 11 4 1 14 17 51.68

4 2 10 6 18 18 48.45

9 9 3 9 8 15 46.22

9 11 13 0 7 18 50.43

8 8 6 5 11 20 49.80

12 9 13 2 6 13 46.94

9 7 7 2 18 7 47.98

6 6 6 4 21 13 48.49

4 6 9 4 12 20 48.33

3 5 11 12 11 16 48.72

14 5 6 6 21 6 49.69

5 5 16 12 7 12 48.95

8 9 13 4 15 11 51.71

8 7 7 13 7 18 51.53

9 8 3 8 23 8 50.97

20 2 7 5 13 9 50.01

12 6 1 12 6 19 48.28

8 9 4 6 21 7 48.74

4 6 7 6 14 19 46.72

10 12 11 6 11 7 47.67

5 4 2 9 18 16 47.70

15 11 4 13 7 8 49.40

11 6 7 12 12 13 52.06

5. Are there any outliers? If so what are they? (Hint: Construct a box and whisker plot using fences in StatCrunch to identify any outliers.

If there are any outliers remove them from the data set before computing the next answers.

6. What is the sample size n?

7. What is the sample mean weight of a bag of M&Ms?

8. What is the sample standard deviation?

Claim: The average weight of a bag of M&Ms is 47.9.

9. Write the claim symbolically.

10. Is this claim the null or alternative hypothesis?

11. Write the null and alternative hypothesis.

12. Is this going to be a left tail, right tail, or two tail test?

13. Which distribution are you going to use? (Z-distribution, T-distribution, or Chi-square distribution)?

14. What is the degree of freedom?

15. Using the .05 level of significance, what is the critical value(s)?

16. What is the test statistics?

17. What is the p-value?

18. Complete the sentence: The test statistic (does/does not) fall in the critical region, so we (reject/fail to reject) the null hypothesis.

19. Complete the sentence: The p-value is (less/greater) than the significance level, so we (reject/fail to reject) the null hypothesis.

20. Complete the sentence: There (is/is not) evidence at the .05 significance level to (reject/support) the claim that the mean amount of candy in each bag is 47.9 grams.