Determine which statistical method(s) is/are appropriate to answer the question(

Question

Determine which statistical method(s) is/are appropriate to answer the question(s). You do not need to perform any actual analyses. Just state the method(s) that will best answer the questions. Give a one sentence explanation for your choice in each case. (You may assume all necessary assumptions are met, such as normality, common variance, etc., when they apply.) Your choices are:

Hypothesis tests and/ or confidence intervals

for a single population proportion                            to compare two population means using independent samples

for a single population mean                                      to compare two population proportions

for a single population variance                                 to compare two population means using paired data

to determine independence/dependence of rows and columns in a table

Checking for the existence of a linear relationship with a scatter plot and correlation

Q) When an aircraft cockpit is designed, the overhead reach of a seated pilot is considered in the placement of various instruments and switches. If an airline is trying to recruit women pilots, the overhead reach of women is an important consideration because it is generally less than it is for men. A design under consideration has some switches placed so that they require an overhead reach of 123 cm. Sample data is collected on the overhead reach of twenty women. The engineers want to investigate whether or not the 123 cm. placement is too high. What kind of analysis should they do?

Explanation / Answer

Q) When an aircraft cockpit is designed, the overhead reach of a seated pilot is considered in the placement of various instruments and switches. If an airline is trying to recruit women pilots, the overhead reach of women is an important consideration because it is generally less than it is for men. A design under consideration has some switches placed so that they require an overhead reach of 123 cm. Sample data is collected on the overhead reach of twenty women. The engineers want to investigate whether or not the 123 cm. placement is too high. What kind of analysis should they do?

since we have a claim that is The engineers want to investigate whether or not the 123 cm. placement is too high and we have only one sample so :

so the anaysis that they should do is for a single population mean

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