Mathematics assignment

Question 1 (0.25 points)

Question 1 options:

The data below represent the amount of sugar (in grams) per serving in 14 randomly selected cereals. Click here to open it in StatCrunch. Compute the five number summary.

A picture containing text, shoji, clipart Description automatically generated

Minimum =

Q1 =

Median =

Q3 =

Maximum =

Question 2 (0.25 points)

The frequency table below is from a survey conducted on traffic violations. Find the relative frequency of people who received a ticket due to Speeding. Leave your answer as a number between 0 and 1. Round this answer to two decimal places.

Table Description automatically generated

Question 2 options:

Question 3 (0.25 points)

You need a sample of NFL players to survey about their opinions on Chronic Traumatic Encephalopathy (CTE). You divide the league by the players’ primary position (Quarterback, Wide receiver, Defensive back, Safety, Kicker, etc). You then take a random sample of 20 players from each of the positions.

What type of sampling is this?

Question 3 options:

Random sampling

Systematic sampling

Cluster sampling

Stratified sampling

Convenience sampling

Question 4 (0.25 points)

Educational researchers are curious if teaching method affects Algebra scores. Identify the explanatory variable

Question 4 options:

Educator’s curiosity

Algebra scores

Teaching methods

Type of math

Question 5 (0.25 points)

Use the table/data in the prior question to answer the following. The variability for police protection expenditure is quite large. Which state contributes most to this greater variability?

Question 5 options:

Question 6 (0.25 points)

A student downloads their data from their Fitbit app. The following data is provided to the student:

The number of steps they took per day.

Identify the type of variable.

Question 6 options:

None of these

Categorical

Quantitative discrete

Quantitative continuous

Question 7 (0.25 points)

You need a sample of NFL players to survey about their opinions on Chronic Traumatic Encephalopathy (CTE). You create a list of all current NFL players, randomly select a starting point, and select every 20th player on the list to take the survey.

What type of sampling is this?

Question 7 options:

Random sampling

Systematic sampling

Cluster sampling

Stratified sampling

Convenience sampling

Question 8 (0.25 points)

The contingency table below represents the responses to a first day survey of MATH 153 students in 2018.

Table Description automatically generated

What does the number 8 represent in this table?

Question 8 options:

Question 9 (0.25 points)

Identify the following as an experiment or an observational study.

Do college professors who use a red pen to grade student essays tend to assign lower scores, on average than professors who use a blue pen to grade student essays? 40 professors were randomly assigned to either use a red or blue pen to grade their essays one semester. The scores of the student essays were compared between the two groups.

Question 9 options:

Observational Study

Experiment

Question 10 (0.25 points)

In a random sample of 500 students commuting Baltimore County Community College in Essex, 320 drive their own car, and 230 of those are coming from a distance less than 10 miles. Of those who do not drive, 120 are commuting from greater than 10 miles. What percentage of students that drive commute less than 10 miles? Round your answer to two decimal places.

Table Description automatically generated

Question 10 options:

Question 11 (0.25 points)

The mean life expectancy for a healthy American is 78 years with a standard deviation of 5 years. Assuming that the distribution is bell-shaped, to what age can about 95% of all Americans expect to live? Provide an upper and lower bound.

Question 11 options:

a)

– 4 and 4

b)

63 and 93

c)

77 and 79

d)

68 and 88

Question 12 (0.25 points)

The dotplots below display the distributions for the test scores of two different sections of a biology course. Without calculating, which section has the largest standard deviation?

Chart, scatter chart Description automatically generated

Question 12 options:

Section 1

Section 2

Both have the same standard deviation

Cannot tell

Question 13 (0.25 points)

Harper took 3 final exams. Her results are summarized in the table below. Which subject did she have the average class score?

Table Description automatically generated

Question 13 options:

Accounting

English

Calculus

None of these

Question 14 (0.25 points)

A community college surveyed 250 randomly selected students and found that the average number of hours they work each week is 19 hours. Is the given value representing a statistic?

Question 14 options:

True

False

Question 15 (0.25 points)

Normal healthy resting pulse rate for 30 year old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30 year old female has a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30 year old female) has a resting pulse rate of 83. John (a 30 year old male) has a resting pulse rate of 80.

Who has a “higher” pulse rate relative to their gender?

Question 15 options:

a)

John

b)

Melissa

Question 16 (0.25 points)

You need a sample of NFL players to survey about their opinions on Chronic Traumatic Encephalopathy (CTE). You randomly select 3 of the teams and then survey all players on those teams.

What type of sampling is this?

Question 16 options:

Random sampling

Systematic sampling

Cluster sampling

Stratified sampling

Convenience sampling

Question 17 (0.25 points)

The number of police stations in your city. Identify the type of variable.

Question 17 options:

Quantitative continuous

Quantitative discrete

Categorical

None of these

Question 18 (0.25 points)

Fifteen students in a biology class were asked their age. The answers were as follows:

18

20

21

27

22

45

40

16

27

31

48

31

22

21

24

The five-number summary is: Min = 16, Q1=21, Median = 24, Q3=31, Max = 48

Find the outliers, if any.

Question 18 options:

Question 19 (0.25 points)

Identify the following as an experiment or an observational study.

Do men and women differ with regard to their opinion of their attractiveness? A poll by the Gallup organization asked American adults whether or not they are generally satisfied with their physical attractiveness.

Question 19 options:

Experiment

Observational Study

Question 20 (0.25 points)

Imagine that your primary care physician is collecting data during your yearly well visit. Identify a potential quantitative continuous variable that they could collect.

Question 20 options:

Question 21 (0.25 points)

Normal healthy resting pulse rate for 30 year old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30 year old female has a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30 year old female) has a resting pulse rate of 83. John (a 30 year old male) has a resting pulse rate of 80.

What is Melissa’s z-score for her resting pulse rate?

Question 21 options:

Question 22 (0.25 points)

The weights of adorable, fluffy kittens are bell shaped with a mean of 3.6 pounds and a standard deviation of 0.4 pounds. What percent of fluffy kittens will weigh less than 3.2 pounds?

Question 22 options:

16%

84%

2.5%

32%

Question 23 (0.25 points)

The weights of airline passenger’s suitcases are normally distributed with an average weight of 46 pounds and a standard deviation of 3 pounds. If 2.5% of the suitcases are considered “overweight”, find the weight that separates the overweight luggage from the allowed luggage.

Hint: Sketch and label a normal model to help answer the question.

Question 23 options:

Question 24 (0.25 points)

The boxplot represents the price men and women reported they paid for their last haircut. Approximately what percent of women spent between $20 and $40 on their last haircut?

Chart, box and whisker chart Description automatically generated

Question 24 options:

0%

25%

50%

75%

Question 25 (0.25 points)

The Westminster Kennel Club keeps data on the winners of the “Best in Show” award at its annual dog show. One such variable is the breed of the dog that wins this title. Identify the type of variable.

Question 25 options:

Quantitative discrete

Categorical

None of these

Quantitative continuous

Question 26 (0.25 points)

Is the following a parameter or a statistic?

There are 178 cities around the world that have metro (subway) systems.

Question 26 options:

Parameter

Statistic

Question 27 (0.25 points)

Normal healthy resting pulse rate for 30 year old males has a mean of 71 beats per minute and a standard deviation of 8 beats per minute. Normal healthy resting pulse rates for 30 year old female has a mean of 76 beats per minute and a standard deviation of 10 beats per minute. Melissa (a 30 year old female) has a resting pulse rate of 83. John (a 30 year old male) has a resting pulse rate of 80.

What is John’s z-score for his resting pulse rate? Round to two decimal places.

Question 27 options:

Question 28 (0.25 points)

Exercise scientists are looking at the relationship between the height of an athlete’s vertical leap and type of weight training program. What is the response variable in this research?

Question 28 options:

Weight training program

Type of sport

Height of vertical leap

Exercise scientists’ experience

Question 29 (0.25 points)

You are interested in studying the variability of local and state police spending per capita across our country. The data below was collected by the U.S. Census Bureau in 2017. Calculate the standard deviation for the police spending per capita. Round your answer to the nearest whole number.

Click here to open this data in StatCrunch.

Table Description automatically generated

Question 29 options:

Question 30 (0.25 points)

The boxplot represents the price men and women reported they paid for their last haircut. Approximately what percent of men spent less on a haircut than the first quartile (Q1) of women?

Chart, box and whisker chart Description automatically generated

Question 30 options:

Question 31 (0.25 points)

The World Health Organization collects data on people that have been infected with HIV around the globe. One such variable is the ages of these individuals. Identify the type of variable.

Question 31 options:

Quantitative discrete

Quantitative continuous

None of these

Categorical

Question 32 (0.25 points)

A recent survey asked 200 people if they thought women in armed force should be allowed to participate in combat. The results of the survey are given in the table below.

Table Description automatically generated

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