Mathematics: Asimple random sample of size nequals 81 is obtained from a population with mu equals 81 and sigma equals 18 . ? (a) describe the sampling distribution of x overbar . ? (b) what is upper p left parenthesis x overbar greater than 84.1 right parenthesis ? ? ? (c) what is upper p left parenthesis x overbar less than or equals 76.2 right parenthesis ? ? ? (d) what is upper p left parenthesis 79.3 less than x overbar less than 84.6 right parenthesis ? ? ? (a) choose the correct description of the shape

Asimple random sample of size nequals 81 is obtained

CarQuestionl6367

09.01.2022

NOrmal distribution

Step-by-step explanation:

As per central limit theorem sample mean follows a normal distribution for large samples drawn at random.

a) X bar follows a normal distribution with mean = 81 and std error = $\frac{\sigma}{\sqrt{n} } =2$

b) $P(X84.1) = P(Z\frac{84.1-81}{2} \\=P(Z1.55)\\= 0.5-0.4394\\\\=0.0606$

c) $P(X\leq 76.2)\\= P(Z\leq \frac{76.2-81}{2} =P(Z\leq2.4)\\= 0.5-0.4793\\=0.0207$

Symmetrical

B. The distribution is approximately normal.

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DnakMeme6e7272727272

09.05.2021

i don tnow

Step-by-step explanation:

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