1 An in-class survey was given to a random sample of 50 students enrolled in a l

Question

1 An in-class survey was given to a random sample of 50 students enrolled in a large introductory statistics course. 25 of the students were female and 25 were male. One question asked students to provide their shoe size, in inches. Another question asked students to provide the number of body piercings he or she had. The graph below presents a scatterplot of the students’ responses to these two questions.

What is the best estimate of the correlation between shoe size and number of body piercings?

0.80

2. Adult American males have heights that have a Normal distribution with mean 70 inches and standard deviation 3 inches. What height corresponds to the 10th percentile?

3. Use the table below regarding gender and college major to answer the question: Are the events “man” and “psychology major” independent? Why/why not?

Yes, because “psychology major” and “Man” are mutually exclusive.

4. Consider rolling two fair dice and adding the outcomes. What is the probability that the sum is 5?

           .0833

5. The average mean speed in miles per hour and length of flight in miles were recorded for 27 airline flights. The scatterplot of these data is shown below.

Which of the following best describes the relationship between flight length and average speed?

6. A study of a population showed that males' body temperatures are approximately Normally distributed with a mean of 98.2 degrees Fahrenheit and a population standard deviation of 0.70 degrees Fahrenheit. What body temperature does a male have if he as at the 94th percentile? (Round to one decimal place)

7. In the standard Normal curve [N(0,1)], what is the probability that a z-score will be 2.5 or higher? (Round to four decimal places)

Explanation / Answer

1. Here we see that it is downward trend, hence it is negative correlation

Now as we know if more points fall on the line correlation is near to 1, but here we see that not most points fall on the line.

So based on above discussion answer is -0.40.

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