STAB22H3 Lecture Notes - Quartile, Box Plot, Interquartile Range

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cyanbeetle876

4 Jun 2012

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STAB22H3 Full Course Notes

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Stab22- stats lecture 1, 2, 3, 4 notes. Learn about the most important concepts and techniques in statistics work. Provides understanding of use of statistics in your own field. [there is a link to the course website there] Mystatlab ---> click student ---> butler47874 [course id] ---> create an id and password. Categorical: flight number, type of aircraft, mechanical problems. Why: why these variables (help to assess safety and customer service) - we can see that peoples opinions on how the family occupation environment has changed, hasn"t in fact differed to greatly from 1991 to 1994. - in a simple bar graph we can see that more people believe it is ideal for a family to have one stay at home parent. All four options chosen by reasonable number of people. - when we look at a pie graph we can see a different perspective on the number of people who believe one parent at home is ideal.

Related Questions

Use the following scenario for questions 6 – 8. In 2016-17, the average SAT score of the UVA first year class was 1420 out of 1600. An advisor in the statistics department is interested in determining whether statistics majors from that class have higher SAT scores than the average. He tests H,:µ = 1420 against Hạ: µ > 1420, where u is the mean SAT score for statistics majors from the 2016-17 first year class. In a simple random sample of 30 statistics majors, he finds a sample mean SAT score of 1440 with sample standard deviation of 40.

6. What is the value of the test statistic for this significance test?

a. 0.09

b. 0.5

c. 2.73

d. 20

7. From what distribution is this test statistic?

a. N(0, 1)

b. N(1420, 7.30)

c. t distribution with 29 degrees of freedom

d. t distribution with 28 degrees of freedom

8.) The p-value for this test is 0.005. Which of the following is a proper interpretation of this p- value?

a.There is a 0.5% chance that the null hypothesis is true.

b. If the population mean SAT score really is 1420, there's a 0.5% chance that the sample a. mean SAT score from 30 statistics majors would equal 1440.

c.If the population mean SAT score really is 1420, there's a 0.5% chance that the sample mean SAT score from 30 statistics majors would be 1440 or lower.

d. If the population mean SAT score really is 1420, there's a 0.5% chance that the sample mean SAT score from 30 statistics majors would be 1440 or higher.

beigeserval271

Module 4 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

For the standard normal distribution, Z, find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a graph of the Normal curve and shade the area under the curve that is the answer to the question.

Values of z larger than 2.33.

Between z = −1.50 and z = 1.18.

Values of z less than 1.19.

A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 77 and a standard deviation of 8. For each of the following produce a normal distribution plot showing the appropriate shaded area.

What percentage of students scored lower than 70 on this exam?

What percentage of students scored between 81 and 89?

What percentage of students scored higher than 90 on this exam?

What is the 80th percentile of scores?

What is the 95th percentile of scores?

sbmrgd

Module 2 Minitab Assignment

Instructions:
Below you will find questions and a sample dataset. Please use the provided dataset to complete the tasks and to answer the questions.

As reported by the U.S. Census Bureau in Current Population Reports, the percentage of adults in each state and the District of Columbia who have completed high school is provided below.
Find the mean, median, and mode for this data set. Be aware that the mode does not always exist.
Find the range and standard deviation of this data set.
Write a sentence interpreting the mean and standard deviation.
Write a sentence interpreting the median.
Dataset:
State Percent - Dataset
Alabama 95
Alaska 89
Arizona 95
California 84
Delaware 80
Georgia 81
Illinois 88
Kansas 83
Louisiana 85
Massachusetts 85
New Mexico 91
New York 93
North Carolina 88
Oklahoma 85
Texas 88
Utah 91
Vermont 86
Washington 80
Wisconsin 81
Wyoming 95

(continued on next page)
Based on the following data,
Determine and interpret the first, second, and third quartiles.
Determine and interpret the interquartile range.
Construct a box-plot and describe the shape of the distribution.
Identify any outliers, if any.
Dataset:
96
59
55
111
76
91
60
57
84
123
56
89
61
72
89
72
81
88
75
79

(continued on next page)
This is a set of data from a sample of n = 11 items:
Produce a scatterplot of the data.
What does the plot suggest about the relationship between the variables?
Find and interpret the correlation coefficient.
Find and interpret the coefficient of determination.
Predict the value of y when x = 65. How much faith do you have in this prediction? Explain.
Dataset:
x y
46.1 150.8
47.6 150.2
45.5 141.3
43.1 167.4
44.5 166.7
36.9 121.7
47.4 143.6
44.8 186.1
41.3 166.2
33.5 140.4
34.4 132.9

sbmrgd

STAB22H3 Lecture Notes - Quartile, Box Plot, Interquartile Range

STAB22H3 Full Course Notes

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