Question

Choose a quantitative variable. Measure it on two different samples of 10, drawn from two different populations. For example, you might measure the number of cups of chocolate consumed daily by men vs women. Provide a description of the data selected, and the two different populations you chose. Record the data, and for EACH sample, find the mean and standard deviation and the five-number summary. Compare your two samples using boxplots or histograms. Summarize your results in a paragraph, including a description of how you collected your data and your interpretation of the results. Does it appear that the two populations are similar, or different?

Answer #1

**SOLUTION**

Data

Men | Women |

2 | 1 |

1 | 5 |

6 | 2 |

4 | 4 |

3 | 6 |

2 | 2 |

1 | 1 |

5 | 3 |

4 | 4 |

2 | 2 |

Descriptive Statistics

Men | Women | ||

Mean | 3 | 3 | |

Standard Error | 0.537484 | 0.537484 | |

Median | 2.5 | 2.5 | |

Mode | 2 | 2 | |

Standard Deviation | 1.699673 | 1.699673 | |

Sample Variance | 2.888889 | 2.888889 | |

Kurtosis | -0.83495 | -0.83495 | |

Skewness | 0.509148 | 0.509148 | |

Range | 5 | 5 | |

Minimum | 1 | 1 | |

Maximum | 6 | 6 | |

Sum | 30 | 30 | |

Count | 10 | 10 |

Box plot

From Box plot we can saythat both populations are similar

Two different simple random samples are drawn from two different
populations. The first sample consists of
2020
people with
1111
having a common attribute. The second sample consists of
22002200
people with
15801580
of them having the same common attribute. Compare the results
from a hypothesis test of
p 1p1equals=p 2p2
(with a
0.050.05
significancelevel) and a
9595%
confidence interval estimate of
p 1p1minus−p 2p2.

Independent random samples of 36 and 48 observations are drawn
from two quantitative populations, 1 and 2, respectively. The
sample data summary is shown here. Sample 1 Sample 2 Sample Size 36
48 Sample Mean 1.28 1.32 Sample Variance 0.0570 0.0520
Do the data present sufficient evidence to indicate that the
mean for population 1 is smaller than the mean for population 2?
Use one of the two methods of testing presented in this section.
(Round your answer to two...

Two different simple random samples are drawn from two different
populations. The first sample consists of 30 people with 14 having
a common attribute. The second sample consists of 1800 people with
1294 of them having the same common attribute. Compare the results
from a hypothesis test of p1= p2 (with a 0.05 significance level)
and a 95% confidence interval estimate of p1−p2.
Identify hypothesis, t statistic, critical value, p value

Two different simple random samples are drawn from two different
populations. The first sample consists of 30 people with 15 having
a common attribute. The second sample consists of 1900 people with
1379 of them having the same common attribute. Compare the results
from a hypothesis test of p1=p2 (with a 0.01 significance level)
and a 99% confidence interval estimate of p1−p2.
Find hypothesis, test statistic, critical value, p value, and
95% CL.

Independent random samples of 42 and 36 observations are drawn
from two quantitative populations, 1 and 2, respectively. The
sample data summary is shown here.
Sample 1
Sample 2
Sample Size
42
36
Sample Mean
1.34
1.29
Sample Variance
0.0510
0.0560
Do the data present sufficient evidence to indicate that the
mean for population 1 is larger than the mean for population 2?
Perform the hypothesis test for H0:
(μ1 − μ2) = 0 versus
Ha: (μ1 −
μ2) >...

Two different simple random samples are drawn from two different
populations. The first sample consists of 20 people with 10 having
a common attribute. The second sample consists of 2200 people with
1595 of them having the same common attribute. Compare the results
from a hypothesis test of p1 = p2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p1 - p2.
1. Identify the test statistic ____ (round to 2 decimal
places)
2. Identify the...

Two different simple random samples are drawn from two different
populations. The first sample consists of 20 people with 11 having
a common attribute. The second sample consists of 1800 people with
1283 of them having the same common attribute. Compare the results
from a hypothesis test of p1 =p2 (with a
0.05 significance level) and a 95% confidence interval estimate
of p1 - p2
What are the null and alternative hypotheses for the
hypothesis test?
Identify the test statistic.(Round...

Two different simple random samples are drawn from two different
populations. The first sample consists of 30 people with 15 having
a common attribute. The second sample consists of 2100 people with
1477 of them having the same common attribute. Compare the results
from a hypothesis test of p1 =p2 (with a 0.05 significance level)
and a 95% confidence interval estimate of p1 - p2 What are the
null and alternative hypotheses for the hypothesis test. Identify
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1)
a) Assume that you have two AISI 1045 cylindrical samples with
two different diameters: one 1 in. thick and the other 2 in. thick.
You astenitize and quench both samples in water. Then you cut a
section and measure the hardness at the center of each sample.
Would you expect to get the same results? Explain your answer.
b) Assume that you have two cylindrical steel samples with 1 in.
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Quantitative Variable we are interested in comparing: #
of HR’s (Home Run’s)
American
League:
National League:
Sample Size:
28
Sample Size:
22
Sample Mean:
20.14286
Sample Mean:
18.77
Sample Standard
Deviation:
10.44107
Sample Standard
Deviation:
8.257
You are now going to do a two-sample hypothesis test on this
data
Hypothesis: I would expect an American League player to
hit more HR’s (Home Run’s) on average, than a National League
Player?
Introduction: State...

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