Reference no: EM131008198
Dice. After getting trounced by your little brother in a children's game, you suspect that the die he gave you is un- fair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the die's fairness?
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Face
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Count
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1
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11
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2
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7
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3
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9
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4
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15
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5
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12
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6
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6
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a) If the die is fair, how many times would you expect each face to show?
b) To see if these results are unusual, will you test goodness- of-fit, homogeneity, or independence?
c) State your hypotheses.
d) Check the conditions.
e) How many degrees of freedom are there?
2
b) That brokerage firm also wants to know if the type of
f) Find x and the P-value.
Account affects the size of the account (in dollars). It per- forms a test to see if the mean size of the account is the same for the three account types.
g) State your conclusion.
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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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Calculate the taylor polynomials
: Calculate the Taylor polynomials T2 (X) and T3 (X) centered at x = 2 for f(x) = ln(x + 1). Find the formula for a function of the form y = A sin(Bx) + C with a maximum at (4, 3), a minimum at (12, -7).
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