Q8. A Random Variable X has an unknown distribution, a known mean of 10 and an unknown variance, o. To test a claim that the distribution is no longer 10, a random sample of 100 of X was collected which gave a sample mean, x of 9.8 and a sample variance, s? = 16. Which of these is the test statistic? A. z = x – == 9.8 – 4/10 = 9.4 B. z= μ - = 10 - 4 = 9.6 10 | X-u C. z = 9.8–10 μ-x D. z = 10-9.8 = -0.5 = 0.5 4 4 n 10 10 O A. A ОВ. В ОС. С O D. D

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Please awnswer question 8.

Question 7,8,9 and 10 are related questions.
Q7. A Random Variable X has an unknown distribution, a known mean of 10
and an unknown variance, o. To test a claim that the distribution is no
longer 10, a random sample of 100 of X was collected which gave a
sample mean, x of 9.8 and a sample variance, s = 16.
Which of these is the appropriate Null and Alternative hypothesis?
A. Η6 μ- 10 ; H: μ 10.
Β. Hg: μ- 10 ; Η: μ 10.
C. Η: μ= 10 ; Η: μ > 10.
D. x = 10 ; H1: X+ 10.
||
ОА. А
ОВ. В
О С. С
O D. D
Transcribed Image Text:Question 7,8,9 and 10 are related questions. Q7. A Random Variable X has an unknown distribution, a known mean of 10 and an unknown variance, o. To test a claim that the distribution is no longer 10, a random sample of 100 of X was collected which gave a sample mean, x of 9.8 and a sample variance, s = 16. Which of these is the appropriate Null and Alternative hypothesis? A. Η6 μ- 10 ; H: μ 10. Β. Hg: μ- 10 ; Η: μ 10. C. Η: μ= 10 ; Η: μ > 10. D. x = 10 ; H1: X+ 10. || ОА. А ОВ. В О С. С O D. D
Q8. A Random Variable X has an unknown distribution, a known mean of 10
and an unknown variance, o. To test a claim that the distribution is no
longer 10, a random sample of 100 of X was collected which gave a
sample mean, x of 9.8 and a sample variance, s? = 16.
%3D
Which of these is the test statistic?
4
A. z = x
2 = 9.8 – 4/10 = 9.4
B. z = µ – = 10 -=
= 9.6
n
10
X-u
9.8–10
10-9.8
C. z = "
= -0.5
D. z =
0.5
%3D
%D
4
4
10
10
О А. А
О В. В
С. С
O D. D
||
Transcribed Image Text:Q8. A Random Variable X has an unknown distribution, a known mean of 10 and an unknown variance, o. To test a claim that the distribution is no longer 10, a random sample of 100 of X was collected which gave a sample mean, x of 9.8 and a sample variance, s? = 16. %3D Which of these is the test statistic? 4 A. z = x 2 = 9.8 – 4/10 = 9.4 B. z = µ – = 10 -= = 9.6 n 10 X-u 9.8–10 10-9.8 C. z = " = -0.5 D. z = 0.5 %3D %D 4 4 10 10 О А. А О В. В С. С O D. D ||
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