Problem Set - Assignment Example

MODULES 7, 8, 10, AND 11 – PROBLEM SET Complete problem 2 on page 94. 2.What percentage of people have IQs below 70? Above 130? Are the percentages the same?Figure 7.4Normal Curve Showing Means and Standard Deviations for a Variety of Common Scores:P(IQ < 70) = P(z < -2) = 0.0228 or 2.28%P(IQ > 130) = P(z > 2) = 1 – P(z < -2) = 1 – 0.9772 = 0.0228 or 2.28% About 2.28% of people have IQs below 70. About 2.28% of people have IQs above 130. Yes, the percentages are the same.Complete problem 10 on page 101. 10.The mean human gestation period is 266 days.

Actual time to delivery is approximately normally distributed with a standard deviation of about 12 days. Marcelle goes into labor and gives birth to a child 245 days after conception. What percentage of women give birth (a) at the same point in pregnancy as or earlier than Marcelle, (b) at a later point in pregnancy than Marcelle, and (c) between their due date and the point at which Marcelle gave birth. (a) P(X ≤ 245) = P(z < -1.75) = 0.0401 or 4.01%About 4.01% of women give birth at the same point in pregnancy as or earlier than Marcelle.(b) P(X > 245) = P(z > -1.75) = 1 – P(z < -1.75) = 1 – 0.0401 = 0.9599 or 95.

99%About 95.99% of women give birth at a later point in pregnancy than Marcelle.(c) For X = 266, z = 0P(245 ≤ X ≤ 266) = P(X ≤ 266) – P(X ≤ 245) = P(z < 0) – P(z < -1.75) = 0.50 – 0.0401 = 0.4599 or 45.99%About 45.99% of women give birth between their due date and the point at which Marcelle gave birth. Repeat the SPSS Connection from page 105 on your computer. Copy and paste the SPSS output for the descriptive to a Word document. Please also list the z scores from the SPSS Data View area in your Word document.

Descriptive StatisticsNMeanStd. DeviationScore on Test A1054.1014.138Score on Test B1091.108.987Score on Test C1068.0012.220Valid N (listwise)10Complete problem 4 on page 123.4. For which of these events are the outcomes mutually exclusive? Circle “Yes” if the outcomes are mutually exclusive or “No” if the outcomes are not mutually exclusive.EventMutually Exclusivea. Wearing sneakers to today’s statistics class or wearing sandals to today’s statistics classYesb. Being nervous or being afraidNoc.

Being valedictorian of your high school class or being salutatorian of your high school classYesd. Doing your homework or not doing your homeworkYese. Having a headache or having a stomachacheNoComplete problem 10 on page 127.10. In which of these outcomes does the addition theorem apply? In which does the multiplication theorem apply? Circle “AT” for addition theorem or “MT” for multiplication theorem.OutcomeApplicable Theorema. Winning the game of chance you are currently playing and winning the next game of chance you playMTb.

Winning or losing the game of chance you are currently playingATc. The probability that you will eat breakfast tomorrow morning and that you also eat breakfast the next morningMTd. The probability that you will either eat breakfast or not eat breakfast tomorrow morningATComplete problem 2 on page 135.2. A couple already has three children. All three children are boys. Assume that the probabilities of the man fathering a boy or a girl are .50 and .50, respectively. What is the probability that the fourth child will also be a boy?

This is an independent event. Previous outcome has no effect on upcoming outcome. Therefore, the probability that the fourth child will also be a boy is 0.50. Complete problem 18 on page 143.18. You draw nine cards from a standard deck of cards. What is the probability thatNumber of ways to select 9 cards from a standard deck of cards = = 3679075400a. four or more will be red,Number of ways selecting four or more red cards= = 2822948700P(four or more red) = b. Exactly two or three will be red,Number of ways selecting exactly two or three red cards= = 812383000P(exactly two or three will be red) = c.

two or fewer will be red, andNumber of ways selecting exactly two or three red cards= = 257528700P(two or fewer will be red) = d. exactly five will be red?Number of ways selecting exactly five red cards= = 983411000P(exactly five will be red) = Red, RBlack, BNumber of Ways, Probability, P091312455031245500.0008518261562275406191500.01104273256578002137850000.058113626002302305985980000.162704514950657809834110000.267305465780149509834110000.267306323023026005985980000.16270726578003252137850000.

0581181156227526406191500.01104903124550131245500.00085     1.00000ReferenceSteinberg, Wendy J. Statistics Alive!, 2nd Edition. SAGE Publications, Inc, 07/2010. VitalBook file.