Question

A population consists of the following five values: 1, 2, 4, 4, and 6.

a) List all samples of size 2 from left to right, and compute
the mean of each sample. **(Round your mean value to 1
decimal place.)**

Samples | Values | Sum | Mean |

1 | |||

2 | |||

3 | |||

4 | |||

5 | |||

6 | |||

7 | |||

8 | |||

9 | |||

10 |

b) Compute the mean of the distribution of sample means and the
population mean. Compare the two values. **(Round your
answers to 1 decimal place.)**

Sample means | |

Population mean |

Answer #1

a) From the given data

Sampling distribution |
||||

Samples |
1st draw |
2nd draw |
Sum |
of mean |

1 | 1 | 2 | 1.5 | |

2 | 1 | 4 | 2.5 | |

3 | 1 | 4 | 2.5 | |

4 | 1 | 6 | 3.5 | |

5 | 2 | 4 | 3 | |

6 | 2 | 4 | 3 | |

7 | 2 | 6 | 4 | |

8 | 4 | 4 | 4 | |

9 | 4 | 6 | 5 | |

10 | 4 | 6 | 5 | |

Total: | 34 |

b) Mean of Sampling distribution of mean is 34/10 = 3.4

The sample means is 3.4

The population mean is (1 +2 + 4 + 4 + 6) /5 = 3.4

Therefore the mean of sampling distribution of mean is population mean

A population consists of the following five values: 11, 14, 15,
16, and 18.
List all samples of size 3, and compute the mean of each sample.
(Round your mean value to 2 decimal places.)
Sample
Values
Sum
Mean
1
2
3
4
5
6
7
8
9
10
Compute the mean of the distribution of sample means and the
population mean. Compare the two values. (Round your
answers to 2 decimal places.)
Sample means
Population means

A population consists of the following five values: 2, 2, 3, 5,
and 7.
List all samples of size 3, and compute the mean of each
sample.
Compute the mean of the distribution of sample means and the
population mean. Compare the two values.

A population consists of the following five values: 7, 7, 15,
34, 18.
a. Not available in Connect.
b. By listing all samples of size 3, compute
the mean of the distribution of the sample mean and the population
mean. Compare the two values. (Round the final answer to
the nearest whole number.)
Sample means
Population mean
Both means are
(Click to select) equal not
equal
c. Compare the dispersion in the population
with that of the sample means. Hint:...

Suppose the population consists of FIVE individuals and the
elements are: S= {3, 6, 9, 12, and 15} Obtain samples of size 3
(use counting rule). Obtain the population mean and variance,
sample means and variances of the distribution. Would the mean and
variance change if the sample size were to increase? Prepare two
excel tables.
a) In an excel table show the various samples (Table-1).
b) Calculate the population mean and variance (Table-1).
c) Calculate the sample mean and...

Appendix B.4 is a table of random numbers that are uniformly
distributed. Hence, each digit from 0 through (including) 9 has the
same likelihood of occurrence. (Round your answers to 2
decimal places.)
Compute the population mean and standard deviation of the
uniform distribution of random numbers.
Assume that 10 random samples of five values are selected from
a table of random numbers. The results follow. Each row represents
a random sample.
9
1
6
1
2
6
7
1...

Appendix B.4 is a
table of random numbers that are uniformly distributed. Hence, each
digit from 0 through (including) 9 has the same likelihood of
occurrence. (Round your answers to 2 decimal
places
Compute the population mean and standard deviation of the
uniform distribution of random numbers.
Assume that 10 random samples of five values are selected from
a table of random numbers. The results follow. Each row represents
a random sample.
0
2
7
1
1
9
4
8...

Appendix B.4 is a table of random numbers that are uniformly
distributed. Hence, each digit from 0 through (including) 9 has the
same likelihood of occurrence. (Round your answers to 2
decimal places.)
Compute the population mean and standard deviation of the
uniform distribution of random numbers.
Assume that 10 random samples of five values are selected from
a table of random numbers. The results follow. Each row represents
a random sample.
0
0
5
2
8
2
3
5...

The Quality Control Department employs five technicians during
the day shift. Listed below is the number of times each technician
instructed the production foreman to shut down the manufacturing
process last week.
Technician
Shutdowns
Taylor
4
Hurley
5
Gupta
4
Roushe
3
Huang
2
a. How many different samples of two technicians are possible
from this population?
b. List all possible samples of two observations each and
compute the mean o the sample (round your answers 1 decimal
place)
{...

1. Consider the data 2, 4, 6, 8, 10, 12 and 14. Store them in
?1, and then
(a) Take samples of size 2 with replacement from this
population, list all your samples in the table below:
2,2
2,4
2,6
2,8
4,2
4,4
4,6
6,2
8,2
10,2
(b) Now find the mean of each sample, and place all the sample
means in the table below:
2
3
4
5
6
7
3
4
4
(c) Complete the following probability distribution...

The Quality Control Department employs five technicians during
the day shift. Listed below is the number of times each technician
instructed the production foreman to shut down the manufacturing
process last week.
Technician
Shutdowns
Taylor
5
Hurley
3
Gupta
5
Rousche
3
Huang
2
How many different samples of two technicians are possible from
this population?
List all possible samples of two observations each and compute
the mean of each sample. (Round your answers to 1 decimal
place.)
Compare the...

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