Suppose a simple random sample of size n = 45 is obtained from a population with µ = 67 and = 14. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <70.8). (c) Assuming the normal model can be used, determine P(x ≥ 69.1). G (a) What must be true regarding the distribution of the population? OA. The population must be normally distributed and the sample size must be large. OB. The population must be normally distributed. OC. There are no requirements on the shape of the distribution of the population. OD. Since the sample size is large enough, the population distribution does not need to be normal.

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Suppose a simple random sample of size n = 45 is obtained from a population with μ = 67 and = 14.
K
(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming
the normal model can be used, describe the sampling distribution X.
(b) Assuming the normal model can be used, determine P(x <70.8).
(c) Assuming the normal model can be used, determine P(x ≥ 69.1).
C...
(a) What must be true regarding the distribution of the population?
OA. The population must be normally distributed and the sample size must be large.
OB. The population must be normally distributed.
OC. There are no requirements on the shape of the distribution of the population.
OD. Since the sample size is large enough, the population distribution does not
need to be normal.
Transcribed Image Text:Suppose a simple random sample of size n = 45 is obtained from a population with μ = 67 and = 14. K (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution X. (b) Assuming the normal model can be used, determine P(x <70.8). (c) Assuming the normal model can be used, determine P(x ≥ 69.1). C... (a) What must be true regarding the distribution of the population? OA. The population must be normally distributed and the sample size must be large. OB. The population must be normally distributed. OC. There are no requirements on the shape of the distribution of the population. OD. Since the sample size is large enough, the population distribution does not need to be normal.
Suppose a simple random sample of size n = 45 is obtained from a population with μ = 67 and o= 14.
Assuming the normal model can be used, describe the sampling distribution X.
O A. Approximately normal, with
Px
= 67 and ox
OB. Approximately normal, with
OC. Approximately normal, with
Hx
(b) P(x<70.8)=
(c) P(x ≥ 69.1)=
H = 67 and
dox:
= 14
= 67 and ox
E
14
√45
45
√14
(Round to four decimal places as needed.)
(Round to four decimal places as needed.)
***
Transcribed Image Text:Suppose a simple random sample of size n = 45 is obtained from a population with μ = 67 and o= 14. Assuming the normal model can be used, describe the sampling distribution X. O A. Approximately normal, with Px = 67 and ox OB. Approximately normal, with OC. Approximately normal, with Hx (b) P(x<70.8)= (c) P(x ≥ 69.1)= H = 67 and dox: = 14 = 67 and ox E 14 √45 45 √14 (Round to four decimal places as needed.) (Round to four decimal places as needed.) ***
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