This assignment is due at 11:59 pm (Beijing time) on the date listed on Moodle but you should work on it throughout the week as you finish each Section (the questions are labeled by Section number). Write all work on separate paper,scan, and submit the assignment to Moodle. Be sure to show all steps for full credit.

1. Section 3.2

Two brands of car batteries, both with 6-year warranties, were sampled and tested under controlled conditions. Five batteries sampled failed after the following number of months:

Brand A: 74, 65, 70, 64, 71

Brand B: 69, 70, 62, 72, 60

Find the mean battery life and standard deviation for each brand by hand (show your work). Based on the sample data, which brand lasts longer? Which brand has a more consistent battery life? How do you know?

2. Section 3.2

Download the data set “Body Temperatures” (Data Set 3) from the website linked below and use StatCrunch to find the mean and standard deviation of the data. Use the Range Rule of Thumb to determine if an adult body temperature of 100⁰F is significantly high. Why or why not?

https://www.statcrunch.com/books/?book=triola_stat12t

3. Section 3.2

Use the same data set from Question #2.

(a) What does Chebyshev’s Theorem say about the percentage of adults with body temperatures that are between 96.96⁰F  and 99.44⁰F ?

(b) Upon examination of the data set, it is found that the body temperatures of healthy adults have abell-shaped distribution. How can werefine our answer to part (a) using the empirical rule?

4. Section 3.3

Listed below are the prediction errors (minutes) that are differences between the actual eruption times and

predicted eruption times of the Old Faithful Geyser. Positive numbers correspond to eruptions that occurred later than predicted and negative numbers to those that occurred earlier than predicted. Find the 5-number summary   by hand (show your work) and construct a boxplot.

4 -7 0 1 -1 1 -4 -7 22 7 -5 1

5. Section 3.3

Based on some sample data, it was found that males have red blood cell counts with a mean of 4.719 and a standard deviation of 0.490, while females have red blood cell counts with a mean of 4.349 and a standard

deviation of 0.402. Who has the higher relative count to the sample from which it came: a male with a count of 5.58 or a female with a count of 5.23?  Explain and show your work.