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a bag contains marbles of different colors (red, yellow, and blue) and different sizes
(small and large). the probability of picking a blue marble out of the bag is 0.10 and the
probability of picking a large marble is 0.50. what is the probability of picking a large
blue marble - CORRECT ANSWER: 0.05
A class of 25 students took a reading test before, and after completing an intensive
vocabulary course to determine whether there was a change in scores in either
direction. The mean pretest score was 24, and the mean post test score was 32. The
standard deviation of the difference was nine. What value of the T statistic does this
difference correspond to? - CORRECT ANSWER: 4.4
A coach was just to determine whether her basketball team is performing worse this
year than in previous years. The coach knows that over the past several years games,
the team scored an average of 84 points in the last year, with 36 games, they scored an
average of only 71 points, with a standard deviation of 24 points. What T test statistic
does this score correspond to? - CORRECT ANSWER: -3.25
A dining guide reviewed all of the restaurants in a town. Only six restaurants received a
four star rating. 17 receive three stars; 18 receive two stars; and nine received a one
star rating. Based on this information, what is the probability of a restaurant receiving a
four star rating? - CORRECT ANSWER: 0.12
A guidance counselor wants to administer a survey to students in her school. Why might
she choose stratified sampling over simple random sampling - CORRECT ANSWER: To
ensure that students from all grades are represented
, A high school student applies to both the naval Academy and West Point. The diagram
shows his chances of being accepted to each school and the chance that he will be
accepted to both. What is the probability that he will be accepted to at least one of the
two schools? - CORRECT ANSWER: 16%
A maple syrup manufacturer asked 100 customers to rate its brand of maple syrup on a
scale of one to 10. The mean rating was seven, with a sample standard deviation of 1.5.
Based on this sample, what is the 95% confidence interval for the estimate of the
population mean? - CORRECT ANSWER: (6.7, 7.3)
A regression analysis suggest that the number of children and employee has predicts
the number of personal days he/she will take off work. The life of the regression line is
3.2 and the lower bound of the confidence interval for this slope is 0.8. What is the
upper bound? - CORRECT ANSWER: 5.6
A researcher asked children to complete a math test. Half of the children are told they
will be rewarded for every correct answer; the other will receive the reward. The
researcher will compare the main test scores for the two groups. What type of research
design is this? - CORRECT ANSWER: Census
A researcher is conducting a study comparing the effects of drug treatments on hours of
sleep across three groups. Group one is taking drug a, group 2 is taking rugby, and
group 3 is a control group not taking any drug. What statistic would be most appropriate
to compare the main number of hours of sleep across the three groups. - CORRECT
ANSWER: Analysis of variance
A researcher is studying the relationship between academic and sports performance in
100 college athletes. She runs a regression model with the number of games started as
the independent variable and grade point average as the dependent variable this model
yields a slope of B = 0.3. A two tail test of this estimate produces a T statistics of -2.1
assuming a significance threshold of P < 0.05, how should the researcher interpret
these results? - CORRECT ANSWER: Each additional gameplay is associated with a
0.3 decline in GPA