A population consists of N = 4 numbers: 12, 15, 20, 24 with a mean of μ = 17.75. A random sample of n = 2 is selected. How many possible random samples are there when sampling without replacement? samples List the possible samples. (Enter your answers as a comma-separated list. Enter your answers in set notation. Enter each answer only once.) Find the sampling distribution for the sample mean x and display it as a table. (Enter your values of x in increasing order from top to bottom. Enter your probabilities as fractions.) P(x) x

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Display the sampling distribution for the sample mean x as a probability histogram.
0.4
0.4
O
p(x-bar)
O
0.3
0.2
0.1
0.0
0.4
0.3
0.2
0.1
0.0
12
12
0.2
0.1
Ul. 3 au wa……
0.0
14 16 18 20 22 24
12 14 16
20
22 24
12 14 16 18 20 22 24
x-bar
x-bar
14
16
III L
20 22 24
18
x-bar
20
0.3
℗
0.4
18
x-bar
0.3
0.2
0.1
0.0
→
Transcribed Image Text:Display the sampling distribution for the sample mean x as a probability histogram. 0.4 0.4 O p(x-bar) O 0.3 0.2 0.1 0.0 0.4 0.3 0.2 0.1 0.0 12 12 0.2 0.1 Ul. 3 au wa…… 0.0 14 16 18 20 22 24 12 14 16 20 22 24 12 14 16 18 20 22 24 x-bar x-bar 14 16 III L 20 22 24 18 x-bar 20 0.3 ℗ 0.4 18 x-bar 0.3 0.2 0.1 0.0 →
A population consists of N = 4 numbers: 12, 15, 20, 24 with a mean of μ = 17.75. A random sample of n = 2 is selected.
How many possible random samples are there when sampling without replacement?
samples
List the possible samples. (Enter your answers as a comma-separated list. Enter your answers in set notation. Enter each answer only once.)
Find the sampling distribution for the sample mean x and display it as a table. (Enter your values of x in increasing order from top to bottom. Enter your probabilities as fractions.)
P(x)
x
Transcribed Image Text:A population consists of N = 4 numbers: 12, 15, 20, 24 with a mean of μ = 17.75. A random sample of n = 2 is selected. How many possible random samples are there when sampling without replacement? samples List the possible samples. (Enter your answers as a comma-separated list. Enter your answers in set notation. Enter each answer only once.) Find the sampling distribution for the sample mean x and display it as a table. (Enter your values of x in increasing order from top to bottom. Enter your probabilities as fractions.) P(x) x
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