Question

A researcher wants to determine whether the primary language spoken at home affects a child's reading...

A researcher wants to determine whether the primary language spoken at home affects a child's reading level. She randomly selected 10 children from English (sample 1), 10 from Spanish (sample 2) and 10 from Creole speaking homes (sample 3). Children are given a reading achievement test. Do the data provide sufficient evidence to indicate that the mean reading scores differ for at least two of the three language groups?

State the null and alternative hypotheses.

Group of answer choices

A. H0: mu1=mu2=mu3, Ha: mu1 not= mu2 not= mu3

B. H0: mu1 not= mu2 not= mu3, Ha: mu1=mu2=mu3

C. H0: mu1=mu2=mu3, Ha: At least two mu’s are different

D. H0: At least two mu’s are different, Ha: mu1=mu2=mu3

Continue to consider Question 1.

Fill in DF in the ANOVA table.

Source

DF

SS

MS

F

Treatment

(a)

20

(e)

(g)

Error

(b)

(d)

(f)

Total

(c)

47

Group of answer choices

(a) = 3, (b) = 27, (c) = 30

(a) = 2, (b) = 8, (c) = 20

(a) = 3, (b) = 7, (c) = 10

(a) = 2, (b) = 27, (c) = 29

Continue to consider Question 1.

Fill in SS and MS in the ANOVA table.

Group of answer choices

(d) = 67, (e) = 10, (f) = 3.375

(d) = 27, (e) = 6.667, (f) = 3.375

(d) = 27, (e) = 6.667, (f) = 1

(d) = 27, (e) = 10, (f) = 1

Continue to consider Question 1.

Fill in F value in the ANOVA table.

Group of answer choices

(g) = 0.7407

(g) = 10

(g) = 1.975

(g) = 6.667

Continue to consider Question 1.

Find the rejection region. Use a 0.10 level of significance.

Group of answer choices

F < 2.51

F < 3.35

F > 2.51

F > 3.35

Continue to consider Question 1.

What is your conclusion at 0.10 level of significance?

Group of answer choices

A. Reject H0. Sufficient evidence that all language groups have the same mean reading score.

B. Do not reject H0. Insufficient evidence that not all language groups have the same mean reading score.

C. Reject H0. Sufficient evidence that not all language groups have the same mean reading score.

D. Do not reject H0. Insufficient evidence that all language groups have the same mean reading score.

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