Question

Suppose a simple random sample of size nequals36 is obtained from a population that is skewed right with mu equals 81 and sigma equals 6.

(a) Describe the sampling distribution of x overbar.

(b) What is Upper P left parenthesis x overbar greater than 82.1 right parenthesis?

(c) What is Upper P left parenthesis x overbar less than or equals 78.5 right parenthesis?

(d) What is Upper P left parenthesis 79.9 less than x overbar less than 82.65 right parenthesis?

(a) Choose the correct description of the shape of the sampling distribution of x overbar.

A.

The distribution is approximately normal.

B.

The distribution is uniform.

C.

The distribution is skewed left.

D.

The distribution is skewed right.

E.

The shape of the distribution is unknown.

Find the mean and standard deviation of the sampling distribution of x overbar.

mu Subscript x overbar

equals

nothing

sigma Subscript x overbar

equals

nothing

(Type integers or decimals. Do not round.)

(b) Upper P left parenthesis x overbar greater than 82.1 right parenthesisequals

nothing (Round to four decimal places as needed.)

(c) Upper P left parenthesis x overbar less than or equals 78.5 right parenthesisequals

nothing (Round to four decimal places as needed.)

(d) Upper P left parenthesis 79.9 less than x overbar less than 82.65 right parenthesisequals

nothing (Round to four decimal places as needed.)

Answer #1

Suppose a simple random sample of size nequals36 is obtained
from a population with mu equals 82 and sigma equals 18. (a)
Describe the sampling distribution of x overbar. (b) What is Upper
P left parenthesis x overbar greater than 88 right parenthesis?
(c) What is Upper P left parenthesis x overbar less than or equals
76 right parenthesis? (d) What is Upper P left parenthesis 78.1
less than x overbar less than 87.55 right parenthesis?

Suppose a simple random sample of size
nequals=36
is obtained from a population with
μ=81
and
sigma equals 6.
(a) Describe the sampling distribution of
x overbarx.
(b) What is
Upper P left parenthesis x overbar greater than 82.55 right
parenthesisP x>82.55?
(c) What is
Upper P left parenthesis x overbar less than or equals 78.85
right parenthesisP x≤78.85?
(d) What is
Upper P left parenthesis 79.9 less than x overbar less than
82.85 right parenthesisP 79.9<x<82.85?

A random sample of n = 81 observations is drawn from a
population with a mean equal to 15 and a standard deviation equal
to 9 . Complete parts a through g below. a. Give the mean and
standard deviation of the? (repeated) sampling distribution x
overbar . mu Subscript x overbar equalsnothingsigma Subscript x
overbar equalsnothing ?(Type integers or? decimals.) b. Describe
the shape of the sampling distribution of x overbar . Does this
answer depend on the sample?...

Describe the sampling distribution of
ModifyingAbove p with caretp.
Assume the size of the population is
20 comma 00020,000.
nequals=700700,
pequals=0.2060.206
Describe the shape of the sampling distribution of
ModifyingAbove p with caretp.
Choose the correct answer below.
A.The shape of the sampling distribution of
ModifyingAbove p with caretp
is approximately normal because
n less than or equals 0.05 Upper Nn≤0.05N
and np left parenthesis 1 minus p right parenthesis less than
10.np(1−p)<10.
B.The shape of the sampling distribution of...

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ModifyingAbove p with caretp.
Assume the size of the population is
25,000.
nequals=600,
pequals=0.5
Choose the phrase that best describes the shape of the sampling
distribution of
ModifyingAbove p with caretp
below.
A.Not normal because
n less than or equals 0.05 Upper Nn≤0.05N
and np left parenthesis 1 minus p right parenthesis greater than
or equals 10.np(1−p)≥10.
B.Approximately normal because
n less than or equals 0.05 Upper Nn≤0.05N
and np left parenthesis 1 minus p...

Suppose a simple random sample of size n=200 is obtained from a
population whose size is N=10,000 and whose population proportion
with a specified characteristic is p=0.6.
Complete parts (a) through
(c) below.
(a) Describe the sampling distribution of
ModifyingAbove p with caretp.
Determine the mean of the sampling distribution of
ModifyingAbove p with caretp.
mu Subscript ModifyingAbove p with caret equals
μp=___
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution
of
sigma...

Suppose a simple random sample of size n=81 is obtained from a
population with mu=89 and sigma=27.
(a) Describe the sampling distribution of x overbar.
(b) What is P(x overbar > 92.9)?
(c) What is P( x overbar < or equals 82.7)?
(d) What is P(86 < x overbar < 96.35)?

According to a survey in a country, 2727% of adults do not own
a credit card. Suppose a simple random sample of 900900 adults is
obtained. Complete parts (a) through (d) below. (a) Describe the
sampling distribution of ModifyingAbove p with caretp, the sample
proportion of adults who do not own a credit card. Choose the
phrase that best describes the shape of the sampling distribution
of ModifyingAbove p with caretp below. A. Approximately normal
because n less than or...

According to a survey in a country, 23% of adults do not own a
credit card. Suppose a simple random sample of 400 adults is
obtained. Complete parts (a) through (d) below.
a) Describe the sampling distribution of ModifyingAbove p with
caretp, the sample proportion of adults who do not own a credit
card. Choose the phrase that best describes the shape of the
sampling distribution of ModifyingAbove p with caretp below. A.
Approximately normal because n less than or...

According to a survey in a country, 39% of adults do not own a
credit card. Suppose a simple random sample of 300 adults is
obtained. Complete parts (a) through (d) below. (a) Describe the
sampling distribution of ModifyingAbove p with caret, the sample
proportion of adults who do not own a credit card. Choose the
phrase that best describes the shape of the sampling distribution
of ModifyingAbove p with caret below. A. Not normal because n less
than or...

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