1) Kit and Casey are classmates at Milpitas High School, and they are each attempting to estimate the proportion of students at their high school who can play at least one musical instrument.Kit selects a random sample of 50 students to survey and finds the sample proportion to be 0.20.Casey selects a random sample of 150 students to survey and also obtains a sample proportion of 0.20.Kit uses his sample proportion to construct a 95% confidence interval, and Casey uses his sample proportion to construct a 99% confidence interval.Who will have the more narrow confidence interval?

A)Casey

B)Both intervals will have the same width since the sample proportions are the same.

C)Both intervals will have the same width since the samples were selected from the same population.

D)Both intervals will have the same width since the sample proportions are the same and the samples were selected from the same population.

E)Kit

2)Which of the following statements about probabilities is correct?

A)If it's very unlikely an outcome will occur, that outcome will have a negative probability.

B)If an outcome has a probability of 0.65, this means the outcome will happen less than half of the time.

C)If an outcome happens on every repetition, that outcome will have a probability that is equal to 1.

D)If an outcome has a probability of 0.05, this means the outcome will happen 50% of the time.

E)A probability can never be equal to 0.

3) It is observed that students who attend more calculus tutoring sessions obtain higher scores on the final exam in their calculus course.Upon constructing a regression equation to predict final exam score based on a number of tutoring sessions attended, it is noted that 58% of the variability in final exam score can be explained by the regression equation.This means the correlation, orr, between final exam score and number of tutoring sessions attended, must be equal to approximately

A)0.58.

B)0.29.

C)0.99.

D)0.76.

E)0.37.

4) A claim is made that 20% of adults think pepperoni is the best pizza topping.You believe this claimed value is too low.You survey a random sample of 100 adults and find that 28 of these adults think pepperoni is the best pizza topping.If a hypothesis test is conducted, what will thep-value be?

A)0.9773

B)0.0446

C)0.0227

D)0.7881

E)0.2119

5) All 10th-grade students at Rydell High School have to complete standardized mathematics test.Two different random samples of size 50 are taken from this population.Both samples end up having the same mean test score, but one sample has a larger sample standard deviation than the other.If we construct a 95% confidence interval for each sample, how would you expect the two confidence intervals to compare in terms of width?

A)The confidence interval based on the sample with the smaller sample standard deviation will be wider.

B)Both confidence intervals will have the same width since the sample sizes and sample means are the same.

C)Both confidence intervals will have the same width because they are both 95% confidence intervals.

D)The confidence interval based on the sample with the larger sample standard deviation will be wider.

6)The owner of "Irene's Ice Cream Cones" finds that the relationship between number of ice cream cones sold per day and temperature (in degrees Fahrenheit) is linear, withr= 0.87.The regression equation is:Predicted number of ice cream cones sold = -14.35 + 3.67(temperature). The equation was arrived at through several days of data collection, and the temperature on all of these days was anywhere from 75 degrees Fahrenheit to 95 degrees Fahrenheit.Based on this information, which one of the following statements is correct?

A)It would be extrapolation to use the given regression equation to predict number of ice cream cones sold when the temperature is 105 degrees Fahrenheit.

B)We should not use the given regression equation to make any predictions since the value ofris less than 0.9.

C)Approximately 87% of the variability in number of ice cream cones sold can be explained by the regression equation.

D)We should use the given regression equation to make predictions for any value of temperature that is between 0 degrees Fahrenheit and 100 degrees Fahrenheit.

E)If the temperature is 78 degrees Fahrenheit, we would predict the number of ice cream cones sold to be approximately 301.