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Prob and Stat Pink Packet 2
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72.4
If the test score average for a class of 30 students is 75.6 and the test score average for another class of 24 students is 68.4, what is the overall average for this test between the two classes?
9.375
The grades at a large school have an approximately normal distribution with a mean of 50. What standard deviation would be necessary to insure that 80% of the students are within 12 points above or below the mean?
0.63 ± 1.645 √[(0.63)(0.37)/150]
A SRS of 150 students at a local high school was taken to see how many like strawberry-flavored licorice. Ninety-five of the students liked strawberry licorice. What would be an appropriate set-up for a 90% confidence interval?
0.34
Amy is graduating in the spring from Howard University with a degree in accounting. AmeriGroup has offered her a job with a starting salary of $48,000 per year. Amy wants to know how may standard deviations below or above the mean is her starting salary if the mean and standard deviations for intro level accounting positions is $47,500 and 1470 respectively.
Not all Americans would have e-mail to respond.
An online survey was sent to every e-mail address in America. The online survey meant to determine how Americans feel about cigarette smoking in public places. What is wrong with the sampling method?
Nonresponse bias
A cell phone company wants to know how happy their customers are with their customers are with their service. The company sent a text message with a survey to every customer's phone. Out of the 100,000 customers 42,000 replied. Based on the 42,000 result they concluded the satisfaction level of their customers from the responses. What bias does this create?
0.74
The correlation between year of experience on a dental staff and the pay increase per year is found to be r=0.74. What will the correlation be if 2 years are added to all the values and the years of experience and pay increase were interchanged on the x and y axis?
The correlation between the amount of fertilizer and yield in potato crops was found to be r=0.58.
All but one of the following statements contain an error regarding bivariate data. Which of the following statements is correct?
Take one type of fabric first and number the 100 pieces 00-99. Using a random number table, pull out the first 50 two-digit numbers. These first 50 pieces would get the new retardant, the remaining 50 get old retardant. Repeat this process for the other fabric as well.
A new type of flame retardant created for clothing is ready for testing. There are two types of fabric that this retardant is to be tested on to see if it is better than the current substance used on these fabrics. How could an experiment be set up to study the effectiveness of this new retardant? There are 100 pieces of each type of fabric available for testing.
To keep the subject and person in contact with the subjects from influencing the variables.
Why is double-blind used in a study?
-$1.50
A lottery ticket is sold for $2 with the promise that someone will win this particular jackpot of $500. Only 1000 tickets are sold. What is the expected value of a ticket that was just purchased?
0.0605
Every year, 50% of all children will ask to stay home from school due to illness. What is the probability that 216 or more children out of a random sample of 400 will ask to stay home this year?
16-24
A standardized test is normally distributed with a mean of 20 and a standard deviation of 6. What would be the approximate interquartile range of the test scores?
I am 90% confident that the true height of newborns is contained in the interval.
A 90% confidence interval has been generated for the mean height in centimeters of newborn babies. What would the interval represent?
We are 98% confident that the true proportion of school age children who prefer morning recess outside is between 32% and 46%, based on this sample.
In a random sample of 300 school-age children in New York City schools, 39% said they preferred outside recess in the morning. If a 98% confidence interval were generated, what could be said about recess preferences of New York school children?
Yes, because the P=0.03, which is smaller than α.
A water consultant in a recently damaged region of the United States believes that the percentage of homes with contaminated water is higher than the recently reported 9%. The consultant surveyed 168 homes and found 23 homes with contaminated water. Is there enough evidence to reject the initial report of only 9% contamination at a α=0.05?
The sampling distribution of song lengths is approximately normal, population mean length is about 3.2 minutes and the population standard deviation is larger than 0.04.
In a study of 100 popular songs, the average length was found to be 3.2 minutes with a standard deviation of 0.04 minutes. Which of the following would be a true statement based on this study?
The process continues until a success occurs.
Which of the following is not a property of the binomial distribution?
x̅ ± 2.09 s/√20
Dequarius decides to take a simple random sample from a population that is normally distributed. However, the σ is not known. If his sample size is 20, and Dequarius wishes to generate a 95% confidence interval for the mean value, which formula would be correct?
It will decrease.
If Marvin has a simple random sample of 30 students, what will happen to the margin of error once he increases the sample size to 150?
μ=1000
A video game company is launching a test version of a new online game they are developing. Let μ be the mean number of players on the beta at one time. The company predicts that the more people who play the beta, the more successful the game will be when it is released. The number of players needed to predict the success of the game will be μ=1000. What would be the null hypothesis?
H0: p=0.39, H1: p<0.39
Congress claims that the proportion of people using public transportation is 0.39, which is good for the environment because there are fewer cars polluting the air. The environmental society disagrees, stating the proportion is far fewer. The society is in the process of conducting an experiment to support their disagreement. What would their hypothesis be?
Chi-square test of independence
A scientist wants to determine whether there is a relationship between gender and studying in high school students. What would be the best test to determine this?
Setting up a blind study where the administrator knows who is receiving which medication.
A researcher wants to study the effectiveness of two different medications for ADHD in children. One hundred children who are diagnosed with ADHD are randomly selected and half given each medication type. Which of the following could cause the introduction of the confounding variable?
μx̅= 7 and σx̅<2.24.
The population {4, 6, 8, 10} has mean μ=7 and standard deviation σ=2.24. If sampling is done with replacement, there are 16 different possible samples of size 2 that can be selected from this population. Each of these samples has a sample mean. For example, one of the samples is (8, 10), which has a mean of 9. Let the mean of the sampling distribution be denoted by μx̅ and the standard deviation by σx̅. Which of the following statements is true?
No, because a confounding variable of location within the store has been introduced.
A local store owner wants to know if a new line of souvenir glass figurines is a better sales product than a line he has carried for years. To test the two products, he decides to keep track of sales of each item for a period of one month. He randomly assigns one item to the checkout lane and the other to the second aisle in the store. If the new item is placed to the left of the checkout lane and the old item is randomly assigned to the second aisle, is this a good study?
Increasing the sample size
Which of the following will increase the power of a test?
Roughly 54% to 62% of the population who watch these shows would tend to prefer The Bachelor to Survivor.
A recent survey of reality show watchers found that 58% of the people preferred the reality show The Bachelor to the reality show Survivor with a margin of error of ±4%. What does this ±4% mean?
There is insufficient evidence that the slope of the regression line is not 0.
If a 95% confidence interval for the slope of a regression line were generated, what would it mean if the interval contained 0?
Yes. z=1.93, P=0.026
Americans say that being trimmer is very important to their self-image with 51% saying they would give up something to be thinner. A recent poll of 1001 adults said that 54% of them would give up watching television or shopping for the summer if they could be sure they would flatten their stomach. Is there evidence that Americans are becoming more weight conscious? Justify your response.
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