Question

Suppose you are statistically comparing the means of two populations with the following hypotheses: ?0: ?1 ≤ ?2, ?1: ?1 > ?2. The sample sizes from the two populations are ?1 = 16 and ?2 = 13, and the variances of the two populations are assumed to be unknown but equal. Find the bounds for the ?-values if using the book, or the explicit ?-values if using Excel, for the following test statistics associated with this problem. Draw conclusions with 95% confidence. a. 1.81 (USING THE APPROPRIATE TABLE IN THE TEXTBOOK) b. 1.12 (USING THE APPROPRIATE TABLE IN THE TEXTBOOK) c. 1.95 (USING THE APPROPRIATE EXCEL FUNCTION) d. 3.68 (USING THE APPROPRIATE EXCEL FUNCTION)

10 |

9 |

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9 |

12 |

8 |

8 |

9 |

6 |

10 |

7 |

10 |

11 |

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9 |

13 |

9 |

10 |

11 |

10 |

12 |

8 |

9 |

9 |

9 |

7 |

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6 |

Answer #1

Suppose you want to determine whether the average values for
populations 1 and 2 are different, and you
randomly gather the following data.
sample 1
2, 11, 7, 8, 2, 5, 9, 1, 9, 1, 5, 8, 11, 2, 5, 5, 6, 9
sample 2
10, 12, 8, 12, 9, 12, 9, 7, 9, 10, 11, 10, 11, 10, 7, 8, 10,
10
Test your conjecture, using a probability of committing a Type I
error of .01. Assume the population...

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Describe a confidence interval for the difference in means
between two population by stating
1. a pair of populations composed of the same type of individuals
and a quantitative variable on those populations,
2. sizes and degrees of freedom of samples from those
populations,
3. the means of those samples, and
4. the standard deviations of those samples. Then state
5. a confidence level and find
6. find the interval. Finally, perform a test of significance
concerning the difference in...

The following frequency table summarizes 60 data values. What is
the 80th percentile of the data? The table is read from left to
right.
1
1
1
1
2
2
2
2
2
2
2
3
3
3
3
6
6
6
7
7
8
8
9
9
9
9
10
11
11
11
11
11
12
12
12
12
13
13
13
14
14
14
14
15
15
15
16
17
17
17
17
17
18
19
19
20...

Consider the following data for two independent random samples
taken from two normal populations.
Sample 1
10
7
13
7
9
8
Sample 2
8
7
8
4
6
9
(a)Compute the two sample means.
Sample 1:
Sample 2:
(b)Compute the two sample standard deviations. (Round your
answers to two decimal places.)
Sample 1:
Sample 2:
(c) What is the point estimate of the difference between the two
population means? (Use Sample 1 − Sample 2.)
(d) What is the...

The table below presents three samples of data. Please conduct a
test for the equality of the three population means with 90%
confidence.
Sample
1
Sample
2
Sample
3
7
11
6
5
8
5
7
11
4
6
7
5
6
13
14
6
13
5
6
12
5
6
11
6
8
8
8
9
7
6
7
6
14
9
7
4
8
8
8
8
9
13
9
6
10
8
11
14
8
9
14...

Using the methods in Section 11.1, test the hypothesis (α =
0.05) that the population proportions of red and brown are equal
(pred = pbrown). You are testing if their proportions are equal to
one another. NOTE: These are NOT independent samples, but we will
use this approach anyway to practice the method. This also means
that n1 and n2 will both be the total number of candies in all the
bags. The “x” values for red and brown are...

Consider the following hypotheses and the sample data in the
accompanying table. Answer the following questions using α
=0.10.
9
8
8
8
7
8
9
11
13
7
5
8
9
8
11
Upper H0: μ=10
Upper H1: μ≠10
a.
What conclusion should be drawn?
b.
Use technology to determine the p-value for this test.

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Plant sizes get larger as you move from ATC-1 to ATC-4. Output
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9 10 15 20 3,000 12 8 13 18 3,500 15 6 11 16 4,000 18 10 9 14 4,500
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