Question

Recall the method used to obtain a confidence interval for the difference between two population means for matched samples.

(a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.)

Element | Population | Difference | |
---|---|---|---|

1 | 2 | ||

1 | 11 | 8 | |

2 | 7 | 8 | |

3 | 9 | 6 | |

4 | 12 | 7 | |

5 | 13 | 10 | |

6 | 15 | 15 | |

7 | 15 | 14 |

(b) Compute *d*.

(c) Compute the standard
deviation *s*_{d}. (Round
your answer to two decimal places.)

(d) What is the point estimate of the difference between the two population means? (Use Population 1 − Population 2.)

(e) Provide a 95% confidence interval for the difference between the two population means. (Use Population 1 − Population 2. Round your answers to two decimal places.)

Answer #1

b)

Compute *d* =2

c)

standard
deviation *s*_{d}
=2.08

d)

e point estimate of the difference between the two population means =2

e)

95% confidence interval for the difference between the two population means =0.07 , 3.93

Find the 99% confidence interval for the difference between two
means based on this information about two samples. Assume
independent samples from normal populations. (Use conservative
degrees of freedom.) (Give your answers correct to two decimal
places.)
Sample
Number
Mean
Std. Dev.
1
25
30
32
2
12
25
24
Lower Limit
Upper Limit

Find the 99% confidence interval for the difference between two
means based on this information about two samples. Assume
independent samples from normal populations. (Use conservative
degrees of freedom.) (Give your answers correct to two decimal
places.) Sample Number Mean Std. Dev. 1 11 39 34 2 23 25 22 Lower
Limit Upper Limit

Find the 95% confidence interval for the difference between two
means based on this information about two samples. Assume
independent samples from normal populations. (Use conservative
degrees of freedom.) (Give your answers correct to two decimal
places.)
Sample
Number
Mean
Std. Dev.
1
17
40
26
2
30
26
27
Lower Limit
Upper Limit
You may need to use the appropriate table in Appendix B to answer
this question.

Confidence Interval for 2-Means (2 Sample T-Interval)
Given two independent random samples with the following
results:
n1=11
n2=17
x1¯=118
x2¯=155
s1=18
s2=13
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that the population
variances are equal and that the two populations are normally
distributed. Round values to 2 decimal places.
Lower and Upper endpoint?

Calculate the margin of error of a confidence interval for the
difference between two population means using the given
information. Round your answer to six decimal places.
σ1=8.38
, n1=113, σ2=11.63, n2=105, c=0.99

Calculate the margin of error of a confidence interval for the
difference between two population means using the given
information. Round your answer to six decimal places. σ1=13.8 ,
n1=106 , σ2=10.49 , n2=114 , c=0.98

Calculate the margin of error of a confidence interval for the
difference between two population means using the given
information. Round your answer to six decimal places.
σ1=5.94σ1=5.94, n1=98n1=98,
σ2=2.87σ2=2.87, n2=79n2=79, α=0.05

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...

Construct a 90% confidence interval estimate for the difference
between two population means given the following sample data
selected from two normally distributed populations with equal
variances: Use SPSS
Sample
1
Sample 2
29
25 31
42 39
38
35 35
37
42 40
43
21
29
34
46
39

Find a 95% confidence interval for the difference between the
two population means.

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