 Statistics Questions

Subject Mathematics Applied Statistics

Question

Please identify the appropriate level of significance for the following three examples when conducting research (questions 1, 2, and 3) selecting .01, .05, or .1 for conducting research. Select the level of significance for each of the three that is most likely to be used for that type of research study. Significance level can be repeated.

1. A researcher wanted to do testing on automobile maintenance cost comparisons between thirty different models for the past five years. Her goal is to recommend to the public which vehicles she would recommend for people on a tight budget to buy to save them money. What level of significance would she use in testing?

2. A researcher wanted to see which candidate you would vote for. What level of significance would she use in testing?

3. A researcher wanted to test a new diabetes drug: What level of significance would she use in testing?

4. State a correct hypothesis. A researcher was developing a hypothesis statement for a research study. One study identified that there were 12,123 cases of diabetic reactions to Brand X insulin type II when used on 1,234,123.00 cases. He feels that is incorrect. He thought it was 20% less and wanted to show the exact difference. Please state both parts of a hypothesis statement. You will only select one hypothesis type either two tailed hypothesis or directional hypothesis statement and state both parts.

5. A Russian scientist has discovered that cases of Dercum disease occurred 6 times over the last 10,000 years. What is the relative frequency probability that the disease will again appear in one year?

6. A person played the lottery two times a week for one month (eight total times buying one ticket each time there was going to be a drawing). The chance of winning the lottery is 1 in 76 million. The person purchased eight more lottery tickets (one for each draw, twice a week for eight total times). Should the person assume their chances are greater to win the lottery the next time they played the lottery? Why?

7. Assume the body temperatures of healthy adults are normally distributed with a mean of 96.20 °F and a standard deviation of 0.82 °F (based on data from the UOP researchers).
a. If you have a body temperature of 97.00 °F, what is your percentile score? This answer requires a whole number percentile with a two decimal point answer to the right of the percentile score to be correct. For example 12.34%. HINT: use table 5.1 in our reading on page 211 as part of the solution.
b. Convert 99.00 °F to a standard score (or a z-score).

8. Using the 68-95-99.7 rule
Suppose you took a sample of nurses that were traveling along the interstate doing home health care that approximates a symmetrical, bell-shaped distribution. Suppose the mean (or average) speed is 60 mph
with a standard deviation (σ) of 5 mph.
a) What is the speed of 68% of the cars?
b) What is the speed of 95% of the cars?
c) What is the speed of 99.7% of the cars?

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7. Assume the body temperatures of healthy adults are normally distributed with a mean of 96.20 °F and a standard deviation of 0.82 °F (based on data from the UOP researchers).

a. If you have a body temperature of 97.00 °F, what is your percentile score? This answer requires a whole number percentile with a two decimal point answer to the right of the percentile score to be correct. For example 12.34%. HINT: use table 5.1 in our reading on page 211 as part of the solution.
Z = (97.00 – 96.20)/0.82 =0.9756. Pr(Z<0.9756) = 0.8353: 83.53%.

b. Convert 99.00 °F to a standard score (or a z-score).
Z = (99-96.20)/0.82 = 3.41....

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