HW01 Explain Statistics

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For each scenario write a statistically correct sentence WITHOUT using any of the words in bold (or a synonym) and WITH the numbers (or
words) that are underlined. The goal is to explain the meaning of the bold words using the underlined numbers with only vocabulary that an 8
year old could understand, so adjusting the underlined words to fit your writing style is allowed.
1) A sample of kindergartners asked them how many minutes of television they watched per day.
The distribution of their answers was found to be normal with a standard deviation of 21
minutes per day.
2) Forty-seven CEO’s of major companies were surveyed to ask them how many hours per week
they work. The 95% confidence interval was calculated as (21.2, 47.9).
3) A hypothesis test was done on whether the average amount of fat in a McDonald’s chicken
fajita is equal to the number of grams claimed on the label. The t-score for the test was 2.11.
4) A random sample of vending machines examined the amount of time it took to release a can of
Fresca. The standard error of the mean was found to be 0.54 seconds.
5) A quality control engineer at 3M is inspecting the average difference in the time it takes
machine A to finish compared to machine B. He finds the average difference is 0.0045 seconds
with a standard error of 0.0002 seconds.
6) A hypothesis test used the average intelligence of men verses women. The difference of the
averages was 13 IQ points (in favor of the men). The p-value for the test was 0.88.
7) A study is planned to ask UW students how many dates they go on in a month. The planners
have decided to create a confidence interval using 80% confidence.
8) A study randomly selected times to measure the temperature and the number of mosquitos
during the summer. The regression line had a slope of 3.442218.
9) Researchers at the NSA gathered data on the age of a person and the number of minutes they
spend on the internet. The R2 for their study was 0.122.
10) A Gerontozenobiologist is testing whether the antiflangenial maxilliar equals the postflangenial
premaximer. The p-value for her test is 0.07. (The point of this question is to show that you
can use statistics to make conclusions even when you have no clue what they’re talking about)
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