# Confidence Intervals with 2 Samples 1 answer below »

- September 24, 2021 /
- ecommerce Development, web development, Software Development, Online marketing, Magento, Ecommerce

For this Application Assignment, you complete three problems

in which you calculate confidence intervals with two samples.

The difficult part is deciding whether the differences you

observe in two groups are statistically significant. The confidence intervals

can help you make that decision. When comparing the means of two groups,

subtract one mean from the other. If they are the same, the answer will be

zero. Remember that with the 95% confidence interval there is a range of values

that contain the true mean in 95 of 100 samples. If zero is part of that range

then the difference of the two means is not statistically significant. But what

happens when you are comparing odds as in odds ratios? Since this is a ratio,

divide the odds of one group by the odds of the other. If they are the same the

answer is one. Again, remember that with the 95% confidence interval there is a

range of values that contain the true mean in 95 of 100 samples. Now, however,

if one is part of that range the ratio of the two odds is not statistically

significant. Keep this in mind as you complete this week’s Application

Assignment.

- To

complete this Application Assignment, answer the following problems:

Problem 5.1a: Given the data set Paired_t.sav,

use SPSS to calculate the 95% confidence interval of the difference of means of

*Sys_BP_1* and *Sys_BP_2*. Interpret the output.

Problem 5.1b: Given the data set Independent_t.sav,

use SPSS to calculate the 95% confidence interval of the difference of means of

*BMI as grouped by gender*. Interpret the output.

Problem 5.2: Using the following 2×2 table, calculate

the odds ratio and its 95% confidence interval. Interpret the confidence

interval.

Exposure to Asbestos |
Disease yes (Cancer case) |
Disease no (control) |
Total |

Yes |
160 |
80 |
240 |

No |
20 |
100 |
120 |

Total |
180 |
180 |
360 |

Copy and paste (or use the *File/Export* option in

SPSS) any required data charts or summaries into a Word document, or export the

data output as a Word/RTF document. Save your Application Assignment as a

“.doc”

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