. The yearly salary (in thousands of dollars) for a small company are listed below. Find the mode, mean, median and population standard deviation, and use the Empirical Rule to find a 99.7% confidence interval.

76 96 49 87 99 87 388 97

MODE:____ MEDIAN:____ MEAN:_____ POPL. STAND. DEV'N:_____EMPIRICAL RULE: 99.7% CI:_______________

2. From the Measures of Central Tendencies computed above, which one would you use to represent the "average" company salary. What is an outlier? Does there appear to be one? Support your reasoning.

_________ ______ ____________________________________________Best Stat. Outlier? Explanation with Outlier Boundaries

3. The 4836 chickens at Colonel Thompson's Ranch have a mean weight of 1800 g. with a standard deviation of 180 g. Find the number of chickens weighing

between 1790 and 1890 g. ______________

4. The mean weekly income of the trainees of an engineering firm is $1910, with a standard deviation of $250. Find the probability that an individual trainee earns more than $2000 per week.

________________

Public school students taking a mathematics assessment had a mean score of 380 with a standard deviation of 48. Possible test scores could range from 0 to 500. Assume that the test scores are normally distributed:

5. What percentage of the students had a score between 390 and 410? _____________

6. Whatisthelowestscorethatwouldstillplaceastudentinthetop10%ofthescores?

_______________

Many athletes keep social media accounts. Did you know that athletes could actually make money by tweeting for a product, service or company on Twitter? The ten most valuable US athlete tweeters are listed in the chart below along with their number of Twitter followers and tweet value.(~ 6 years ago)

Determine the following regarding the data shown on the table below:

Athlete

Followers in MillionsTweet Value

Lebron James 23 Kevin Durant 11.5

Floyd Mayweather 6.4 Dwight Howard 6.1 Serena Williams 5.3

Dwayne Wade 4.9 Tiger Woods 4.3 Chis Paul 4.5 Blake Griffin 3.8

$159,500 $66,500 $34,900 $34,300 $62,600 $18,300 $27,700 $13,400 $18,400

7. Calculate the correlation coefficient,r.State a conclusion, and fully interpret the result. ___________ : __________________________________________________________

8. Find the equation for the regression line. _____________________

9. Predict the tweet value for 13 million followers. ________________ 10. Calculate the coefficient of determination,r2. Fully interpret the result.

___________ : __________________________________________________________