Statistics and Probability - Test Test Answers

Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice. If Jessica is challenged to a game of Sums, which statement is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?

When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?

According to a poll, 56 percent of voters support funding a new community center. A surveyor randomly selects 75 voters and asks each voter if he or she is in favor of the center. If being in favor of the center is a success, what is the probability of a success for this binomial experiment?

Sonia rolls a six-sided number cube 12 times and records if she rolls a 2. What is the number of trials for this binomial experiment?

Destiny performs a hypothesis test on a population with mu is equal to 115 and sigma is equal to 30 Her sample size is 25 with a mean of 120 point 4 Which of the following correctly depicts the z -statistic for this data?

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110 What is the probability that a randomly selected student has a score between 350 and 550 ? Use the portion of the standard normal table to help answer the question. z Probability 0 point 0 0 0 point 5 0 0 0 0 point 2 5 0 point 5 9 8 7 0 point 3 5 0 point 6 3 6 8 0 point 4 5 0 point 6 7 3 6 1 point 0 0 0 point 8 4 1 3 1 point 2 6 0 point 8 9 6 1 1 point 3 5 0 point 9 1 1 5 1 point 3 6 0 point 9 1 3 1

In Juneau, Alaska, the 30 -year annual snowfall average is 86 point 7 inches with a standard deviation of 40 point 4 inches. The last four years saw an average annual snowfall of 115 point 7 inches, 62 point 9 inches, 168 point 5 inches, and 135 point 7 inches. Hia performs a hypothesis test on this data to determine if the next 30 -year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5 percent Which of the following is a conclusion that she may make?

For a standard normal distribution, find the approximate value of cap p times open paren negative 0 point 7 8 is less than or equal to z comma z is less than or equal to 1 point 1 6 close paren Use the portion of the standard normal table to help answer the question. z Probability 0 point 0 0 0 point 5 0 0 0 0 point 1 6 0 point 5 6 3 6 0 point 2 2 0 point 5 8 7 1 0 point 7 8 0 point 7 8 2 3 1 point 0 0 0 point 8 4 1 3 1 point 1 6 0 point 8 7 7 0 1 point 7 8 0 point 9 6 2 5 2 point 0 0 0 point 9 7 7 2

You are challenged to a lucky draw game. If you draw a face card open paren cap k comma cap q comma cap j close paren from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?

A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is 150 point 0 0 dollars with a standard deviation of 30 point 2 0 dollars The manager collects 40 random receipts and finds that the average is 160 dollars Complete a hypothesis test with a significance level of 2 point 5 percent to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?

Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 58 percent ?

You pick a card at random from an ordinary deck of 52 cards. If the card is a diamond, you get some points; if not, you lose 2 points. What value for the diamonds would make the game fair?

The mean game scores and standard deviations of four seasons of a football team are given. Season Mean Standard Deviation 2005 19 3 point 5 2006 21 2 point 8 2007 12 1 point 0 2008 9 4 point 0 Which statement must be true?

To conduct a survey about the type of phone service most people in Greenville prefer, 10 different blocks in the neighborhood are chosen. On these 10 blocks, 10 houses are selected at random, and then each resident of each of those houses is interviewed. This type of sampling method is

A convenience sample differs from a voluntary sample in that

Emi computes the mean and variance for the population data set 87 , 46 , 90 , 78 , and 89 She finds the mean is 78 Emi's Work sigma squared is equal to the fraction with numerator open paren 87 minus 78 close paren squared plus open paren 46 minus 78 close paren squared plus open paren 90 minus 78 close paren squared plus open paren 78 minus 78 close paren squared plus open paren 89 minus 78 close paren squared and denominator 5 is equal to the fraction with numerator 9 squared minus 32 squared plus 12 squared plus 0 squared plus 11 squared and denominator 5 is equal to the fraction with numerator 81 minus 1 comma 024 plus 144 plus 0 plus 121 and denominator 5 =(−678)/(5) is equal to negative 135 point 6 What is the first error she made in computing the variance?

The mean test scores with standard deviations of four English classes are given. Class Mean Standard Deviation Mrs. Jones 89 1 point 9 Mrs. Rijo 82 1 point 4 Mr. Phan 73 3 point 4 Mrs. Scott 90 6 point 1 Which statement is most likely to be true?

The resting heart rates for 80 women aged 46 minus 55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. Assuming a 90 percent confidence level open paren 90 percent confidence level is equal to z - score of 1 point 6 4 5 close paren , what is the margin of error for the population mean? Remember, the margin of error, ME , can be determined using the formula ME is equal to the fraction with numerator z times s and denominator square root of n

A high school student volunteers to present a report to the administration about the types of lunches students prefer. He surveys members of his class and records their choices. What type of sampling did the student use?

Glenda checks the computer monitors made at her company for defects. It has been shown that 0 point 5 percent of the monitors are defective. She decides to check several monitors and record if they are defective. Which of the following will make this process into a binomial experiment?

How do the mean and median change from plot 1 to plot 2?

How can the graph be adjusted to show the skew?

How could the graph be redrawn so that the difference in monthly electric cost does not appear as great?

Which statement is true about the data set?