I need the work shown for solving the problem 6 and the answer. I also use a TI-

Question

I need the work shown for solving the problem 6 and the answer. I also use a TI-84 Plus calculator if a formula is needed, Thanks

The quantative data/variable is the "hours worked each week" that's listed below. Then it's asking for the percentage of the data that fall within 1 percent of the standard devaition of the sample mean. I used the T-Interval and 1-prop-z-int on my ti 84 for this problem.Not really sure how to answer 2 std. dev. or emperical rule.

standard deviation of your sample mean?; 2 standard deviations? How do your results compare to the empirical rule? 6) For the quantitative variable, find what percentage of your data values fall within 1 Color Votes Yes 19 Hours Worked Each week/ Per Person (27) No 24 40 40 20 40 25 32 25 30 0 35 40 4 27 27 30 140 30 30 25 20 27 Quantitative: How many hours do you work a week? Qualitative: Do you like the color yellow?

Explanation / Answer

Answer:

n

27

mean

26.3333

sample standard deviation

26.7323

sample variance

714.6154

The quantative data/variable is the "hours worked each week" that's listed below. Then it's asking for the percentage of the data that fall within 1 percent of the standard devaition of the sample mean. I used the T-Interval and 1-prop-z-int on my ti 84 for this problem.Not really sure how to answer 2 std. dev. or emperical rule.

   mean - 1s

-0.399

   mean + 1s

53.0656

Number of data points falls within 1 sd = 26

Percentage of data points within 1 sd = (26/27)*100 =96.3%

   mean - 2s

-27.1312

   mean + 2s

79.7979

Number of data points falls within 2 sd = 26

Percentage of data points within 2 sd = (26/27)*100 =96.3%

Empirical result shows 68% of data points within 1 sd and 95.4% of data points within 2 sd. But our result differs from the empirical rule.

n

27

mean

26.3333

sample standard deviation

26.7323

sample variance

714.6154

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