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statistics alive
Questions and Answers of
Statistics Alive
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of people have IQs between 85 and 100? Between 100 and 115? Are the percentages the
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of people have IQs between 70 and 130? Figure 7.3 Normal Curve Percentages, to Two
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of SAT takers score below 600? Figure 7.3 Normal Curve Percentages, to Two Decimal
You plan to try out for a track team. Every morning for a month, you run a mile and time yourself. What measure of central tendency best summarizes your running speed for the month? Why?
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of people have IQs below 70? Above 130? Are the percentages the same? Figure 7.3
Your instructor gives a 60-item pretest on the first day of your statistics class. Because there has not yet been any statistics instruction, most students score quite low on the test. However, a
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of SAT takers score above 600? Below 600? Are the percentages the same? Figure 7.4
A social psychologist wants to know the physical distance at which people are comfortable when in face-to-face conversation. She engages 20 participants in conversation on a neutral topic. Later,
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:Someone with an average IQ who completed a college preparatory program in high school with average
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of SAT takers score between 500 and 600? Figure 7.3 Normal Curve Percentages, to Two
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:.What percentage of U.S. adult males are shorter than 5 ft 3½ in.? Taller than 6 ft 3½ in.? Are the
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:An adult American man who is 69.50 in. tall is taller than what percentage of other adult American
Use the percentages in Figure 7.3 and the values in Figure 7.4 to answer the following questions:What percentage of U.S. adult males are between 5 ft 11½ in. and 6 ft 3½ in. in height? Figure 7.4
Refer to Figure 8.1. Shuai stands 68.00 in. tall. What percentage of people are (a) The same height as or shorter than Shuai, (b) Taller than Shuai, and (c) Between the mean and
During the past year, the daily price of gasoline per gallon at four local gas stations has been approximately normally distributed. The four gasoline stations’ yearly data and current selling
Refer to Figure 9.3. Macey scores −0.50σ on the SAT. What is her SAT score? Figure 9.3 Normal Curve With Various Transformed Score
Refer to Figure 9.3. Burt scores −0.20σ on the SAT. Curt scores −0.40σ on the SAT. By how many SAT points do Burt and Curt differ? Figure 9.3 Normal Curve With Various Transformed Score
Here are the means and standard deviations for various animals’ gestation periods. Gestation times are normally distributed.The following animals were just born:Human at 251 days’
Refer to Figure 9.3. Ludwig scores +1.8σ on the SAT. What is his SAT score? Figure 9.3 Normal Curve With Various Transformed Score
Refer to Figure 9.3. Catherine scores +1.30σ on the extraversion scale of the CPI. What is her extraversion T score? Figure 9.3 Normal Curve With Various Transformed Score
Refer to Figure 9.3. Bip scores +1.4σ on the SAT. Bop scores −0.3σ on the SAT. By how many SAT points do Bip and Bop differ? Figure 9.3 Normal Curve With Various Transformed Score
Refer to Figure 9.3. Luigi scores −0.3σ on the extraversion scale of the CPI. What is his extraversion T score? Figure 9.3 Normal Curve With Various Transformed Score
Refer to Figure 9.3. Barry scores +1.5σ on the responsibility scale of the CPI. Harry scores −0.2σ on the responsibility scale of the CPI. By how many T-score points do Barry and Harry differ?
Refer to Figure 9.3. Svetlana scores −0.70σ on the responsibility scale of the CPI. Dymitri scores −0.30σ on the responsibility scale of the CPI. By how many T-score points do their scores
A couple already has three children. All three children are boys. Assume that the probabilities of the man fathering a boy or a girl are .50 and .50, respectively. What is the probability that the
A couple is planning on having four children. Assume that the probabilities of the man fathering a boy or a girl are .50 and .50, respectively. What is the probability thata. Exactly two will be
Assume that the probability of MyLady winning a horse race at a given track in given weather conditions against given horses is .50. If MyLady runs in three such races, what is the probability that
A teacher grades in such a way that exactly 50% of the students earn either a B grade or higher. If a student drawn at random takes three unrelated courses with this teacher, what is the probability
Assume that the probability of MyLady winning a horse race at a given track in given weather conditions against given horses is .50. If MyLady runs in four such races, what is the probability that
Assume that the probability of MyLady winning a horse race at a given track in given weather conditions against given horses is .50. If MyLady runs in five such races, what is the probability that
A teacher grades in such a way that exactly 50% of the students earn either a B grade or higher. If a student drawn at random takes five unrelated courses with this teacher, what is the probability
An educational psychologist is investigating whether or not asking questions at the start of each class lecture changes student retention of the subsequent lecture materials. In some classes, he
An annual race director records an average finish time of 12.3 min over many years of results. Runners are not permitted to run the same race twice, so each new year features a new crop of runners.
You conduct a one-sample t test and find that t = +1.69. Your study has 41 participants. Your research hypothesis is nondirectional.a. Can you reject the null hypothesis at α = .01?b. Can you reject
You read a study that reports p = .08. What is the likelihood that the results are due to a treatment decision and not due to mere sampling error?
You read a study that reports p = .02. You do not know the study’s sample size. How confident can you be that the results are not due to mere sampling error?
The Cook-A-Lot company advertises that 90% of its Crock-Pots are still working without need of repair 5 years after purchase. You purchase six Crock-Pots for friends as gifts. What is the probability
You read an article that says that freshmen who live on campus have a 5% chance of contracting a contagious viral infection that requires them to miss at least one full week of classes. You follow
You read an article in your college newspaper that says that 30% of all cars on campus are blue. The next morning, you stand at the entrance to your college and log the color of the first 10 cars
Your friend Suzie forgets to read an assigned chapter. The next day, the instructor gives a pop quiz on the chapter. Suzie must guess at every question. The quiz consists of five questions. Each
Your friend Ike forgets to read an assigned chapter. The next day the instructor gives a pop quiz on the chapter. Ike must guess at every question. The quiz consists of four questions. Each question
At a given college, 40% of the students graduate with cum laude honors. What is the probability that all five seniors selected at random will graduate with cum laude honors?
You roll a die six times and get a 2 exactly four of those times. Why can’t you use the binomial table to calculate the probability of that happening?
Your friend Priyadarshi forgets to read an assigned chapter. The next day the instructor gives a pop quiz on the chapter. Priyadarshi must guess at every question. The quiz consists of six questions.
The same friend discussed in this module who claimed to have special psychic powers now claims to have an extraordinary palate as well. She claims that she can tell the difference between store-brand
Professor Knotso Swift wants to know whether students learn better with or without an accompanying textbook for his lectures. What sampling technique (simple random, stratified random, cluster,
Assume that administrators at a university administered a satisfaction survey to a sample of students. To get a representative sample, they first determined the proportion of students who are
One day, while eating a prepackaged meal, my son bit down on something hard. It was a metal clip of some sort. We sent the object to the manufacturer, who determined that it was a clamp from one of
A market research company maintains an office in a shopping mall. Employees of the market research company stop every nth (i.e., some predetermined number, such as every 16th) shopper who passes by
An organization is running a raffle to raise money. The fund-raisers place all of the purchased tickets into a bowl. When sufficient tickets have been sold, a volunteer sticks his hand into the bowl
A state education department wants to try out a new fourth grade history curriculum. It assigns a number to every fourth-grade class in the state. Then it randomly selects 100 fourth-grade classes
Researchers place an advertisement in a newspaper, offering $25 to anyone who participates in their study. Everyone who volunteers is accepted until the study’s participant cap is reached. What
A polling organization asks every 10th person who exits the voting booth to say which candidate he or she voted for. What sampling method are they using?
A psychologist studies the number of video games played per week by students who hold a job while attending school and students who don’t hold a job while attending school. What are the IV and the
A psychologist assigns teenagers to listen to rap music or classical music, and then the psychologist studies the amount of aggression displayed by those teenagers in a simulated conflict situation.
A study by De Belis et al. (2000) found that the hippocampus of adolescents and young adults who were heavy drinkers was 10% smaller than the hippocampus of their peers who were not heavy drinkers.
Olweus (1993) found that boys who had been bullied during childhood suffered more depression in their 20s than boys who had not been bullied during childhood. What are the IV and the DV in this study?
A camp director is investigating the number of recreational activities that boys versus girls sign up to participate in. What are the IV and DV in this study?
In answering the following exercises, it will be helpful to have before you the definitions of Type I and Type II errors that you have already learned. Here is a reminder:Type I: There really is not
In answering the following exercises, it will be helpful to have before you the definitions of Type I and Type II errors that you have already learned. Here is a reminder:Type I: There really is not
In answering the following exercises, it will be helpful to have before you the definitions of Type I and Type II errors that you have already learned. Here is a reminder:Type I: There really is not
In answering the following exercises, it will be helpful to have before you the definitions of Type I and Type II errors that you have already learned. Here is a reminder:Type I: There really is not
In general, students who attend private universities come from higher socioeconomic families than those who attend public universities. A sociologist selects a random sample of students from each
This module did not introduce any new calculations. However, test your understanding of the concepts introduced with the following exercises.Draw a normal curve showing ±3 standard deviations, and
The average SAT score is 500. The standard deviation is 100. Monica scores 440.a. State the null hypothesis.b. State the research (alternative) hypothesis.c. If Monica is just a random SAT taker,
Clients of an eating disorder clinic (N = 64) take a self-esteem test. The scores are positively skewed. What will be the shape of the sampling distribution of the mean for this test? Explain your
SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. Using the formula for σM, what will σM be whena. The sample size is 25,b. The sample size is 121, andc. The
Assume that the distribution for mile running times is normal for members of college athletic teams nationwide, with a mean of 6.3 min and a standard deviation of 0.4 min. Using the formula for σM,
A biokinetics instructor measures the resting heart rate of a new class of students. Their average resting heart rate is 72. The instructor wants to know whether or not this is significantly
According to the information on a granola raisin bran cereal box, the cereal is packaged in boxes containing 18.0 oz. of cereal, with a standard deviation of 0.5 oz. Assume that a quality assurance
Each scale on the NEO-PR Personality Inventory is scaled with a mean of 50 and a standard deviation of 10. Professor Jovial administers the NEO-PR to a class of psychology majors (N = 30) and finds
Affection Connection is a respected dating service for busy professionals seeking an alternative to singles’ clubs. Nationwide, the company claims that the mean length of time for the relationships
Clyde has recently opened a pizza restaurant. His main competitor, Lorraine’s Pizza Palace, claims that it can take a customer’s order, prepare the pizza, and deliver it to the customer’s table
Ms. DuGood is chairing a local fund-raising campaign for Helps-a-Lot charity. Literature from the charity’s national headquarters indicates that the average local contribution is $27.32. Under Ms.
The average life expectancy of the migratory Canada goose is 7.2 months, but the first half-year of life shows the fewest survivors. A wildlife biologist is studying the life span of a local flock of
Carmine reads an article that says that male college students study less than female college students. Carmine wonders if this is really so. He asks 20 randomly selected students—10 males and 10
A parole officer measures the average age of new felons. The average age of the 20 new felons in his district is 27.8 years, with a sM of 0.492 year.a. What point estimate should the parole officer
A video arcade owner wonders if boys or girls spend more time playing video games once they enter the arcade. He records the playing time for 10 boys and 10 girls selected at random. No more than one
On a reaction time task, 22 randomly selected participants take an average of 0.65 s to respond to a prompt. The sM is 0.03 s. What is the 95% CI for reaction time for similar participants?
An employee benefits administrator wonders if the amount of the insurance co-pay affects the number of times employees visit a doctor per year. The company offers two plans. One plan has a higher
A study uses very small sample sizes. Considering the effect of sample size on sM, what effect will this have on the size of sM1-M2?
The actual difference between the means of a treated group and an untreated group is 3 points. This amount might or might not be found to be significant depending on the sample size. Explain this in
Assume that our research hypothesis for the above study is nondirectional. That is, while we believe that the type of treatment given will affect the level of depression, we have no idea which
A researcher begins his study with 50 participants in one treatment and 50 participants in the other treatment. During the study, 4 participants in the first treatment drop out of the study, and 1
A local newspaper reports the results of the reading achievement study in Exercise 2 above with the following headline: “Children Taught to Read by Phonics Outscore Students Taught to Read by Whole
You read a study that reports that p = .025. What confidence can you have that the results are due to the treatment rather than to mere sampling error?
Here, again, is the set of statistics test scores we worked with in Modules 3 and 4.Find the (a) Mode, (b) Median (by formula), (c) Mean for these data.
Maizy Lewis runs a large day care center. She wonders whether the presence of other children affects any single child’s willingness to perform simple motor tasks (assembling a puzzle, coloring a
A cognitive psychologist was curious as to why women tend to physically turn a map’s position to match the direction they are moving in, while men tend to keep the map in its original position and
A video arcade owner wondered if boys or girls spend more time playing the games once they enter the arcade. He recorded the playing time for boys and girls selected at random. No more than one
State whether the investigator should use independent samples, repeated measures, or matched samples:a. An investigator wants to know whether men or women select larger entrée portions in a
State whether the investigator should use independent samples, repeated measures, or matched samples:a. An investigator wants to know whether children from different socioeconomic levels differ in
State whether the investigator should use independent samples, repeated measures, or matched samples:a. An investigator wants to know if parental marital status is related to children’s reading
Joe is taking a bowling course for his physical education elective in college. He wonders whether the course significantly improves students’ bowling averages. He records his and his fellow
You read a study that reports that p = .07. What confidence can you have that the results are due to the treatment rather than to mere sampling error?
You read a study that reports that p = .04. What confidence can you have that the results are due to the treatment rather than to mere sampling error?
On a reaction time task, 11 randomly selected college students take an average of 0.60 s to respond to a prompt. On the same reaction time task, 11 randomly selected middleaged adults take an average
A teacher grades in such a way that exactly 50% of the students earn either a B or higher grade. If a student drawn at random takes four unrelated courses with this teacher, what is the probability
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