Reference no: EM131008199
Quality control. Mars, Inc. says that the colors of its M&M's® candies are 14% yellow, 13% red, 20% orange, 24% blue, 16% green and 13% brown. (www.mms.com/ us/about/products/milkchocolate). On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain M&M's. He got 29 yellow, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company's advertised pro- portions? Test an appropriate hypothesis and state your conclusion.
a) If the M&M's are packaged in the advertised proportions, how many of each color should the author have ex- pected in his bag of M&M's?
b) To see if his bag was unusual, should he test goodness- of-fit, homogeneity, or independence?
c) State the hypotheses.
d) Check the conditions.
e) How many degrees of freedom are there?
f) Find x2 and the P-value.
g) State a conclusion.
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Chi-square goodness-of-fit test
: He wonders if this evidence contradicts his belief in a uniform distribution of miles across the days of the week. Is it appropriate to test his hypothesis using the chi-square goodness-of-fit test? Explain.
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Chi-square goodness-of-fit test
: a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. b) What might you do instead of weighing the nuts in or- der to use a x2 test?
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Find a primitive element
: Recall that F = F3[x]/ is a finite field of order 32. Find a primitive element and write out the cyclotomic cosets along with their minimal polynomials
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Find the error in the linear approximation
: Find the error in the linear approximation to the value of f(3 + 0.06) that we found in part b). Find the percentage that results from approximation f(3 + 0.06) by the value in part b).
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Problem regarding the advertised proportions
: a) If the M&M's are packaged in the advertised proportions, how many of each color should the author have ex- pected in his bag of M&M's? b) To see if his bag was unusual, should he test goodness- of-fit, homogeneity, or independence?
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Determining the degrees of freedom
: To see if these results are unusual, will you test goodness- of-fit, homogeneity, or independence? State your hypotheses. Check the conditions. How many degrees of freedom are there?
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Chi-square goodness-of-fit test
: Concepts. For each of the following situations, state whether you'd use a chi-square goodness-of-fit test, chi- square test of homogeneity, chi-square test of indepen- dence, or some other statistical test.
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Question about the internet independent of race
: The same poll as in Exercise 9 also asked the questions "Did you use the Internet yesterday?" and "Are you White, Black, or Hispanic/Other?" Is the response to the question about the Internet independent of race? The data follow:
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Aspects of child development from the readings
: Identify and explain three other aspects of child development from the readings(100 words per each aspects). Describe why these aspects are important to the field of early childhood education.
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