Answered: 1. Give one example of categorical data…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

1. Give one example of categorical data and one example of quantitative data. Explain
each of your answers.
2. Last year, the average math SAT score for students at one school was 465. The
headmaster introduced new study methods hoping to improve scores. This year, the
average math SAT score for a sample of students was 483. If the new study method had
no effect, there would be a 3% chance of seeing this increase by chance. Does the
increase in scores have statistical significance? Why or why not?
3. A college student wants to know more about the percentage of adults in Minnesota
that have received a COVID-19 vaccine. She randomly selects a large sample of
students at her college. What is wrong with her sampling method?
4. A random sample of 18 park users were asked their ages. The results are shown below.
22, 23, 24, 27, 30, 31, 32, 37, 39, 43, 54, 58, 64, 66, 68, 68, 69, 70
a) Construct a stem plot with the data.
b) Using your stem plot, does the data appear to be normally distributed? Explain.
5. Listed below are the exam scores of a randomly selected sample of 28 Chemistry
students.
58 59 62
76 76 78
66 67 68
78 78 82
a) Find the following:
Mean:
Median:
69 71
84 86
Midrange:
73 74 75
87 87 88
Mode(s):
75 76 76
91 95 99
b) Enter your data above in stat crunch. Using stat crunch, calculate the standard
deviation of the sample of test scores. Standard Deviation:
c) Using your work above and the range rule and your mean and standard deviation
above, would a student earning a score of 92 be considered "significantly high"
(unusually high)? Explain.
d) A student scored a 55 on the exam. Convert that student's score to a z-score.
e) Based on the z-score above, would the score of 55 be considered significantly low
(unusually low)? Explain.
f) Fred scored an 82 on the exam. What percentile is this score?

Transcribed Image Text:6. Data was collected from a random sample of 20 customers at both US Bank and TCF Bank. The mean wait time at both banks was 5 minutes. The Standard Deviation for the TCF Bank wait time is s = .476 minutes. The Standard Deviation for the US Bank wait times is s = 1.82 minutes Compare the two standard deviations and write a sentence explaining what the difference in standard deviations means if you are a customer waiting in line at either bank. (Note: I can see that the standard deviation for TCF is lower than that of US Bank...tell me more than that). 7. Use the table to answer the questions below: Vaccine Treatment Placebo Developed Severe Flu 21 99 Did not develop severe flu 830 325 a) If one of the 1275 subjects is randomly selected, what is the probability of getting someone that developed the flu? b) If THREE of the 1275 subjects are randomly selected (with replacement), what is the probability that all three developed the flu? c) If one of the 1275 subjects is randomly selected, what is the probability of getting someone who had the vaccine treatment or developed the flu? d) If one of the 1275 subjects is randomly selected, what is the probability of getting someone who developed the flu, given they had the vaccine? X 0 1 2 3 4 8. 9 people have volunteered to participate in a study. A group of 3 will be selected from the 9 to receive a particular treatment (they all get the same treatment). How many ways can the 3 people be selected from the group of 9? 9. 9 students are participating in a photography contest. There will be a first-place award, second-place award, and third-place award at the end of the contest. How many different possibilities are there for the students to win 1st place, 2nd place, and third place? 10. The table below is a probability of distribution where x is the number of people in a randomly selected group of 4 that recognizes the Sony brand of electronics. P(x) 0.0026 0.0259 0.1792 0.3593 0.4330 la) What is the probability that exactly 2 people in a group of 4 recognize the Sony brand? b) What is the probability that at least 2 people in a group of 4 recognize the Sony brand? c) What is the mean (expected value) for the number of people in group of 4 that recognize the Sony brand? (round to two decimal places).

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