A psychologist has developed a standardized test for measuring the vocabulary skills of 4-year old children. The scores on the test form a normal distribution with μ = 60 and o=10. A researcher would like to use this test to investigate the hypothesis that children who grow up a single children develop vocabulary skills at a faster rate than children in large families. A sample of n = 100 single children and obtained the sample mean of 63. On the basis of this sample, can the researcher conclude that the vocabulary skills for single children are significantly better than children in large families? Use .05 level of significance. Round off your answers in 3 decimal places. Ho: Vocabulary skills for single children and children in large families are the same H₁:Vocabulary skills for single children is better than children in large families (Write one letter only) A. What test statistic to be used? B. What is the value of test statistic? C. The critical region is greater than D. The p-value is E. The decision is (Type "Reject" or "Fail to Reject")

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A psychologist has developed a standardized test for measuring the vocabulary skills of 4 - year
old children. The scores on the test form a normal distribution with u = 60 and o 10. A
researcher would like to use this test to investigate the hypothesis that children who grow up a
single children develop vocabulary skills at a faster rate than children in large families. A sample
of n = 100 single children and obtained the sample mean of 63. On the basis of this sample, can
the researcher conclude that the vocabulary skills for single children are significantly better than
children in large families? Use .05 level of significance. Round off your answers in 3 decimal
places.
Ho: Vocabulary skills for single children and children in large families are the same
H₁:Vocabulary skills for single children is better than children in large families
A. What test statistic to be used?
B. What is the value of test statistic?
C. The critical region is greater than
D. The p-value is
E. The decision is
(Write one letter only)
(Type "Reject" or "Fail to Reject")
Transcribed Image Text:= A psychologist has developed a standardized test for measuring the vocabulary skills of 4 - year old children. The scores on the test form a normal distribution with u = 60 and o 10. A researcher would like to use this test to investigate the hypothesis that children who grow up a single children develop vocabulary skills at a faster rate than children in large families. A sample of n = 100 single children and obtained the sample mean of 63. On the basis of this sample, can the researcher conclude that the vocabulary skills for single children are significantly better than children in large families? Use .05 level of significance. Round off your answers in 3 decimal places. Ho: Vocabulary skills for single children and children in large families are the same H₁:Vocabulary skills for single children is better than children in large families A. What test statistic to be used? B. What is the value of test statistic? C. The critical region is greater than D. The p-value is E. The decision is (Write one letter only) (Type "Reject" or "Fail to Reject")
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