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10. A population of raw scores is normally distributed with μ =0 60 and = 14. Determine the z scores for the following raw scores taken from that population:a. 76b. 48c. 86d. 60e. 74f. 4612. For the following z scores, determine the percentage of scores that lie between the mean and the z score:a. 1b. -1c. 2.34d. -3.01e. 0f. 0.68g. -0.7314. Given that a population of scores is normally distributed with μ =110 and =8, determine the following:a. The percentile rank of a score of 120b. The percentage of scores that are below a score of 99c. The percentage of scores that are between a score of 101 and 122d. The percentage of scores that are between a score of 114 and 124e. The score in the population above which 5% of the scores lie22. Anthony is deciding whether to go to graduate school in business or law. He has taken nationally administered aptitude tests for both fields. Anthony's scores along with the national norms are shown here. Based solely on Anthony's relative standing on these tests, which field should he enter? Assume that the scores on both tests are normally distributed.National NormsField µ σ Anthony's ScoresBusiness 68 4.2 80.4Law 85 3.6 89.8Chapter 8:9. Which of the following are examples of independent events?a. Obtaining a 3 and a 4 in one roll of two fair diceb. Obtaining an ace and a king in that order by drawing twice without replacement from a deck of cardsc. Obtaining an ace and a king in that order by drawing twice with replacement from a deck of cardsd. A cloudy sky followed by raine. A full moon and eating a hamburger10. Which of the following are examples of mutually exclusive events?a. Obtaining a 4 and a 7 in one draw from a deck of ordinary playing cardsb. Obtaining a 3 and a 4 in one roll of two fair dicec. Being male and becoming pregnantd. Obtaining13. If you draw a single card once from a deck of ordinary playing cards, what is the probability that it will bea. The ace of diamonds?b. A 10?c. A queen or a heart?d. A 3 or a black card? 14. If you roll two fair dice once, what is the probability that you will obtaina. A 2 on die 1 and a 5 on die 2?b. A 2 and a 5 without regard to which die has the 2 or 5?18. You want to call a friend on the telephone. You remember the first three digits of her phone number, but you have forgotten the last four digits. What is the probability that you will get the correct number merely by guessing once? p(A and B and C and D) =.1x .1x .1 x.1 .0001 25. Assume the IQ scores of the students at your university are normally distributed, with µ =115 and σ = 8. If you randomly sample one score from this distribution, what is the probability it will bea. Higher than 130?b. Between 110 and 125?c. Lower than 100? 26. A standardized test measuring mathematics proficiency in sixth graders is administered nationally. The results show a normal distribution of scores, with µ =50 and σ = 5.8. If one score is randomly sampled from this population, what is the probability it will bea. Higher than 62?b. Between 40 and 65?c. Lower than 45? Chapter 9:2. What are the five conditions necessary for the binomial distribution to be appropriate?5. Using Table B, if N = 12 and P =0.50,a. What is the probability of getting exactly 10 P events?b. What is the probability of getting 11 or 12 P events?c. What is the probability of getting at least 10 P events?d. What is the probability of getting a result as extreme as or more extreme than 10 P events?8. An individual flips nine fair coins. If she allows only a head or a tail with each coin,a. What is the probability they all will fall heads?b. What is the probability there will be seven or more heads?c. What is the probability there will be a result as extreme as or more extreme than seven heads?12. A student is taking a true/false exam with 15 questions. If he guesses on each question, what is the probability he will get at least 13 questions correct?16. A manufacturer of valves admits that its quality control has gone radically "downhill" such that currently the probability of producing a defective valve is 0.50. If it manufactures 1 million valves in a month and you randomly sample from these valves 10,000 samples, each composed of 15 valves,a. In how many samples would you expect to find exactly 13 good valves?b. In how many samples would you expect to find at least 13 good valves?
If a sample of 30 people selected from 300, find the probability that the mean will be less than 156 pounds using the correction factor.
Let X equal the number of cells activating the alarm when the temperature reaches 100_Fahrenheit. Find the probability that the alarm will function when the temperature reaches 100_F.
If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic.
Use a bag of M&M TM candies and perform an examploe Chi-squared analysis based on your random sampling(s). State a hypothesis and a few reasons why it along with your Chi-squared analysis may be different from someone else's findings.
Assume we have set of blood pressure with a mean of 80 Diastolic, and a sample standard deviation of 10 points. If we assume a normal distribution of Diastolic blood pressures,
Find the least-squares regression line to predict chirps per second based on temperature. increase in temperature. Predict the chirps per second if it is 83.3 degrees.
A random sample of size 10 is selected from the N (20, 5) distribution. What is the probability that the variance of this sample exceeds 10?
Is there enough evidence to believe that the average credit card debt has increased? Use a=0.05. Give a possible reason as to why or why not the debt was increased.
Plot the graphs of the following and identify the graph that represents the cooresponding functions and justify your answer.
The supermarket is open 16 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10,000?
A sample, in hour's of life, is as follows:: 123, 116, 122, 110, 180, 126, 125 Find all Measures of Location (Central Tendency) and Measures of Variability (Dispersion or Variation).
Given same values n=20, p=0.6, and x=17, calculate probability of x successes in n independent trails of experiment.
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