Below is a list of height of individuals in a class at RIT given in inches. Is this data continuous or

(35 pts) Below is a list of height of individuals in a class at RIT given in inches. Is this data continuous or (delete the incorrect answer).

Using the data provided below in the left column, determine the statistics (to 3 significant figures) requested on the right.

13	Mean ___________________
12
16	Range _____________________
15
15	Median_____________________
14
17	Mode _____________________
15
12	Sample Std Deviation __________
10
14	Interquartile Range _____________
13

Properly label (use TEXT BOX) the Box Plot below with numeric values and indicate the location of any outliers should they exist.
Explain how you determined if there was an outlier or not.

2. (30 pts). RIT claims that 34% of its students are female. The School of Mathematical Sciences would like to know if this is true for students who take Data Analysis. A class of 40 students this quarter has 18 females. Does this sample provide evidence that the percentage of female students in Data Analysis is different from the overall percentage of female students at RIT?

Step #1 – Identify the Population Type

Step #2 – Describe the population quantity of interest in WORDS

Step #3 – State H ₀ and H _a in SYMBOLS

Step #4 – What is your level of significance, α = _____________.

Step #5 – What sample information is given?

Step #6 – Write the formula for the test statistic

Step #7 – Check that p follows a normal distribution.

Step #8 – Compute the test statistic and p-value to 3 significant figures.

Step #9 – What is your conclusion? This should be stated in terms of Reject H ₀ or Fail to Reject H ₀ with additional explanation.

3. (10 pts) Below are state math test results for 13 students in an elementary school. The test was administered when the students where in the 4 ^th grade and again in the 8 ^th grade. If you assume that the 4 ^th grade test score is a good predictor of the 8 ^th grade score, what is the slope of the linear

regression line? __________________(to 3 significant figures)

How much of the variation is accounted for by this linear model?

(to 3 significant figures)________________

4 ^th Grade Score	8 ^th Grade Score	4 ^th Grade Score	8 ^th Grade Score

45	42	56	65
52	56	58	55
37	39	42	49
72	68	65	61
31	39	38	45
61	73	27	29
47	41	42	39

4. (10 pts) Given the information in the table, determine the numeric answer to the probability functions or information requested below. Assume all events are with replacement and calculate your answers to 3 significant figures.

Color	Blue	Brown	Green	Orange	Red	Yellow
# M&Ms	20	17	4	5	33	19

Defining the following events:

A = {Yellow, Orange, Green, Brown}

B = {Red, Orange, Brown}

C = {Blue}

P(A B) = ________________________
Probability of removing a green or a brown M&M from the bag. ____________
Probability of removing M&M from the bag that is not Red or Yellow. ________
P(B C) = ___________________
P(C ^c ) = ______________________

5. (8 pts) You would like to determine the proportion of good avocados from a recent truckload of 10,000 which you expect to contain about 18% good avocados. If you would like to determine the actual proportion of good avocados to within 0.02 of your expected value with confidence interval on this determination of the 95% confidence level, how many avocados would you have to check?

6. (7 pts) Recently, the NYS Department of Environmental Conservation sampled the weight of male frogs in the 5 ponds at RIT (the sixth one was inadvertently omitted). The weight of frogs is believed to be normally distributed for all 6 ponds. Given the weight in grams of the frogs below, what is the confidence interval that would include the population mean for a 90% confidence level to 3 significant figures.

25.2 21.3 22.8 17.0 19.5

29.8 21.0 25.5 16.0 20.9