Question

A​ person's blood pressure is monitored by taking 7 readings daily. The probability distribution of his reading had a mean of 134 and a standard deviation of 5.

a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the seven observations each day.

b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling​ distribution?

c. Refer to​ (b). Find the probability that the sample mean exceeds140.

a. The mean of the sampling distribution is ____.

The standard deviation is ____. (Round to three decimal places as​ needed.)

b. Choose the correct description of the shape of the sampling distribution of x for a sample size of 7.

A.The distribution is skewed left.

B.The distribution is approximately normal.

C.The distribution is uniform.

D.The distribution is skewed right.

E. The shape of the distribution is unknown.

c. The probability that the sample mean exceeds 140 is _____ .

Answer 1

Let nu 1 blood Xi cenate the Pressure reading of EX) = 4 134 SDCX Doa 5 (a) gf ' * denote the mean of n=7 Samples , then the meen and sandard deviation of sampling distribution is given by f=134 Jst= 1.8898 -1.890 Hył = - un (b) Then the Slui = shape of sampling distribution is abbronimate normal (C) P ( Samble mean exceeds 140) P(X>140) =P(*-un > 140 - 134 11890 P(2730 1746) -0.0007 st = -0.00075

197 The meon of the sambling distribution is 134 SD The is 1.890 (b ) (B) The distribution is approximately normal. (C) The brobability that the sumdo moon enceeds leo is 10.0007
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