Math 227 - Statistics » Winter 2021 » Quiz Sec 9.3

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Question #1
The mean annual tuition and fees for a sample of 15 private colleges was $41,200 with a standard deviation of $5,300. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $38,000. State the null and alternate hypotheses.
A.   Ho: μ = 38,000, H1: μ = 41,200
B.   Ho: μ ≠ 38,000, H1: μ = 38,000
C.   Ho: μ = 38,000, H1: μ ≠ 38,000
D.   Ho: μ = 38,000, H1: μ ≠ 41,200
Question #2
The mean annual tuition and fees for a sample of 8 private colleges was $33,700 with a standard deviation of $5,800. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $37,400. Compute the value of the test statistic and state the number of degrees of freedom. A) -0.638; 8 degrees of freedom B) -0.638; 7 degrees of freedom C) -1.804; 8 degrees of freedom D) -1.804; 7 degrees of freedom
A.   -0.638; 7 degrees of freedom
B.   -1.804; 8 degrees of freedom
C.   -1.804; 7 degrees of freedom
D.   -0.638; 8 degrees of freedom
Question #3
The mean annual tuition and fees for a sample of 12 private colleges was $40,500 with a standard deviation of $5,000. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $37,400. State a conclusion regarding Ho. Use the 0.01 level of significance.
A.   There is not enough information to draw a conclusion.
B.   Do not reject Ho; There is insufficient evidence to conclude that the mean annual tuition and fees is different from $37,400.
C.   Reject Ho. The mean annual tuition and fees appears to be different from $37,400.

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