The goal of
this lab is to use the Chi-Square distribution to test a hypothesis.
Chooseeither Plan A
(Goodness of Fit)or Plan B (Independence).
(10
points) PLAN
A: Perform a Chi-Square Test for
Goodness of Fit
According
to Mars, Inc. the distribution of colors in a bag of M&M Plain was 13%
brown, 14% yellow, 13% red, 20% orange, 16% green and 24% blue. Peanut was 12%
brown, 15% yellow, 12% red, 23% orange, 15% green and 23% blue. Dark Chocolate was 17% brown, 17% yellow, 17%
red, 16% orange, 16% green and 17% blue.
·
Purchase
a bag of one of these M&M’s (at least 8 oz.), and record the observed
frequencies for different colors of the candy along with the expected
percentage (Write as a decimal.) for each color.
·
Using
a 5% level of significance (.0/msohtmlclip1/01/clip_image002.gif”>), test the claimed distribution of colors. State the
hypothesis that is being tested. Perform
the Chi Square Test for Goodness of Fit and clearly state your conclusion. Include a sketch as on p. 545 to show your
critical region,.0/msohtmlclip1/01/clip_image004.gif”>, the test statistic, and.0/msohtmlclip1/01/clip_image006.gif”>, the critical value.
(10
points) PLAN
B: Perform a Chi-Square Test for
Independence
Return
to Lab 4 where you made a contingency table with the qualitative variable (V1) and one of quantitative
variables (V2). For
example:
Democrat
Others
Younger
Senators
Older
Senators
·
Find
the row and column sums and compute the expected frequencies for each of the
four cells in the table.
·
Using
a 5% level of significance (.0/msohtmlclip1/01/clip_image002.gif”>), test the two variables for independence. State the
hypothesis that is being tested. Perform
the Chi-Square Independence Test and clearly state your conclusion. Include a sketch to show your critical
region,.0/msohtmlclip1/01/clip_image004.gif”>, the test statistic, and.0/msohtmlclip1/01/clip_image006.gif”>, the critical value.
Minitab
Directions
For Plan B
Enter
the observed frequencies in columns
Select
Stat
Select
Tables
Select
Chi-Square Test
Select
names of the columns containing the observed frequencies
Select
OK
[Minitab
provides the test statistic,P-value
and expected frequencies.]
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more