# Questions on Algebra: Probability and statistics answered by real tutors!

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 144046: The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = .025? (See story.news.yahoo.com accessed June 25, 2004.) Click here to see answer by stanbon(57282)

 Question 144048: An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was \$275.66 with a standard deviation of \$78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than \$250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision? Click here to see answer by stanbon(57282)

 Question 144060: ok i have answered the question but i am lost on how to apply this to excel has anyone done this before or know how to use this? At the .01 level of significance, is the true mean greater than 10? Ho: mu = 10 Ha: mu > 10 t(14.44) = (14.44-10)/[4.45/sqrt(35)] = 4.44*sqrt (35)/4.45 = 5.9027 p-value = P (5.9027 the p-value is far less than alpha=1%, hasten to reject Ho. The test gives strong statistical evidence the mean is not 10. the mean is greater than 10; since that is the alternative hypothesis. (b) Use Excel to find the right-tail p-value. Click here to see answer by stanbon(57282)

 Question 144141: Girls ice skates colors: white, beige, pink, yellow, and blue sizes: 4,5,6,7,8 extras: tassels, striped laces, and bells Assuming that all skates are sold with one extra, how many possibe arrangements exist? Click here to see answer by stanbon(57282)

 Question 144178: what is the probability of picking two cards of the same suit in a deck of 52? Click here to see answer by stanbon(57282)

 Question 144247: Can someone please help me with this problem? The standard deviation for the data set {28,84,67,71,92,37,45,32,74,96}. Assume this is the entire data set, not a sampling of a larger population. a. 62.5 b. 23.99 c. 25.29 d. 575.64 Please get back to me as soon as you can THANK YOU Click here to see answer by scott8148(6628)

 Question 144244: PLEASE HELP ASAP In using mathematical induction to prove 8+10+12+...+(2n+6) = n^2+7n, the P k+1 statement is 8+10+12+...+(2k+6) = (k+1)+7(k+1) Is this true or false THANK YOU Click here to see answer by stanbon(57282)

 Question 144311: You have 50 microwaves. Out of the 50 you have 4 defective ones. What is the probability that 2 out of the first 5 microwaves sold are defective? and how do I set up the equation? Click here to see answer by stanbon(57282)

 Question 144416: The manager of a software company is studying the number of hours/week that senior executives spend at their destop computers. There are three industries that he has data for and these are listed under Banking, Retail, and Insurance. The sample size is n = 5 senior managers from each of the industries and the times listed are shown in the table below. ANOVA Problem: At the 0.05 significance level, can the software manager doing the study conclude that there is a difference in the mean number of hours spent per week by industry? Banking Retail Insurance 12 8 10 10 8 8 10 6 6 12 8 8 10 10 10 Click here to see answer by stanbon(57282)

 Question 144218: 46. Following is a regression equation. Y’= 17.08+ 0.16X This information is also available: sy • x= 4.05,∑(X-X-)2 = 1030, and n = 5. a. Estimate the value of Y when X = 50. b. Develop a 95 percent prediction interval for an individual value of Y for X = 50. Click here to see answer by stanbon(57282)

 Question 144481: four cards are randomly selected from a standard 52 car deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1? Click here to see answer by Edwin McCravy(8893)

 Question 144487: Many college graduates who are employed full-time have longer than -hour work weeks. Suppose that we wish to estimate the mean number of hours, , worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of this sample to estimate . Assuming that the standard deviation of the number of hours worked by college graduates is hours per week, what is the minimum sample size needed in order for us to be confident that our estimate is within hours per week of ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements Click here to see answer by stanbon(57282)

 Question 144482: four cards are randomly selected from a standard 52 card deck, what is the probability of getting 4 hearts or 4 cards lower than a 9, counting aces as 1? Click here to see answer by stanbon(57282)

 Question 144489: Scrap Per Thousand Units Plant A Plant B Plant C 11.4 11.1 10.2 12.5 14.1 9.5 10.1 16.8 9.0 13.8 13.2 13.3 13.7 14.6 5.9 1.State the null and alternate hypothesis. 2.What is the decision rule? 3.Compute SSA,SSE,and SST using Excel. 4.Complete a one-factor ANOVA table. 5.State the decision rule regardingthe null hypothesis. 6.Does the data prove significant difference in mean scrap rates? Click here to see answer by stanbon(57282)

 Question 144538: If you select 2 cards from a deck, what is the probability of getting 2 matching cards (2kings, 2fives, and so on)? Click here to see answer by stanbon(57282)

 Question 144536: When my children were young, they played Monopoly, which uses only one die. One day, Josh rolled a 2, then Emily rolled a 2, then I rolled a 2. What is the probability of rolling three 2s in a row on three tosses of a die? Click here to see answer by Alan3354(30993)

 Question 144537: There are 9 different flavors, and you wanted a triple decker ice cream. How many different triple decker ice cream cones are possible? Click here to see answer by Alan3354(30993)

 Question 144562: You & a friend are at Paul & Elizabeth's Restaurant for a night of fine dining. You can choose among 2 appetizers, 4main dishes, & 3 desserts. Appetizer: soup or salad Main Dish: fish, chicken, beef, vegetarian Dessert: chocolate cake, apple pie, ice cream a: How many possible different dinners are there? b: If there are 3 choices of salad dressing & 4 choices of ice cream, how many possible dinner combinations are there? Click here to see answer by checkley77(12569)

 Question 144554: Make 2 six-sided dice so that only even sums are possible and each sum is equally likely. Your solution must be other than the trivial solution of "the same odd number on all 12 faces." Click here to see answer by Alan3354(30993)

 Question 144558: Lets say that a family of 5 decides that instead of each person buying a present for each other person in the family, all the family members will put their names in a hat. Each person then takes one name out of the hat & buys a present for that person. What is the probability of every family member getting his or her own name? Click here to see answer by stanbon(57282)

 Question 144614: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many ways can you get exactly 3 apples? A) 60 ways B) 180 ways C) 20 ways D) 30 ways can you please explain! Click here to see answer by shahid(44)

 Question 144616: An order of award presentations has been devised for seven people: Jeff, Karen, Lyle,Maria, Norm, Olivia, and Paul.In how many ways can the awards be presented so that Maria and Olivia will be next to each other? A) 1220 B) 1680 C) 720 D) 1440 Please explain! Click here to see answer by stanbon(57282)

 Question 144553: If you flip a coin 10 times, what is the probability of getting at least 4 heads? Click here to see answer by stanbon(57282)

 Question 144654: In a learning task, a subject is presented with five buttons. He must learn to press a certain three of them in a predetermined order. What chance does the subject have of pressing correctly on the first time. Click here to see answer by edjones(7569)

 Question 144561: This unfortunate event happened to me when my two children were little. Each of them had a friend over for lunch. After lunch, we had popsicles for dessert. There were 9 popsicles in the freezer & 3 flavors: 3 grape, 3 cherry, & 3 orange. What is the probability that each child will get the popsicle that child wants. Click here to see answer by edjones(7569)

 Question 144757: tiles with 26 letters on them in a box. If 3 tiles are drawn from the box, with replacement. what is the probability that the tiles selected will spell the word sum? The letters must be selected in the correct order. Click here to see answer by stanbon(57282)

 Question 144795: A card is drawn from a deck of cards one through twenty. the card is Not placed and another card is drawn. find the probability that a prime number is drawn and then a composite number. Click here to see answer by stanbon(57282)

 Question 144793: What is the probability of winning a lottery game where the winning numbers is made up of seven didits from 0 to 9 chosen at ramdom Click here to see answer by stanbon(57282)

 Question 144763: A 10-year study conducted by the American Heart Association provided data on how age related to the risk of strokes. Suppose that the following data was obtained in a follow-up study. Risk is interpreted as the probability that the patient will have a stroke over the next 10-year, Patient Risk Age 1 12 57 2 24 67 3 13 58 4 56 86 5 28 59 6 51 76 7 31 78 8 18 56 9 37 80 10 15 78 11 22 71 12 36 70 13 15 67 14 48 77 15 15 60 16 36 82 17 8 66 18 34 80 19 3 62 20 37 59 a) Develop an estimated regression equation that can be used to relate the risk of a stroke to the person’s age. b) Is the relationship between risk and age significant at the 95% confidence level? c) Compute the correlation coefficient and interpret the result. Click here to see answer by stanbon(57282)

 Question 144762: 1. A study conducted by Ariel Mutual Funds and Charles Schwab Corporation surveyed 500 African American with an annual income above \$50,000 and 500 white Americans with an annual income above \$50,000. The results indicated that 74% of the African Americans and 84% of the whites owned stocks (Cheryl Winokur Munk, “Stock-Ownership Race Gap Shrinks,”. “The Wall Street Journal, June 13, 2002, B11). Is there a difference between the proportion of African American with an annual income above \$50,000 who invest in stocks and the proportion of whites with income an annual income above \$50,000 who invest in stocks at a 95% level of confidence? Click here to see answer by stanbon(57282)

 Question 144752: a sample of 20 is selected from the population. What is the number of degrees of freedom used to determine the appropriate critical t-value? A) 20 B) 19 C) 21 D) 25 E) None of the above Click here to see answer by stanbon(57282)

 Question 144751: What does the appropriate use of the t distribution for hypothesis testing assume about the population? A) Near normal in shape B) Standard deviation is known C) Positively skewed D) Standard deviation is unknown E) Both “a” and “d” are correct Click here to see answer by stanbon(57282)

 Question 144750: How does the t distribution differ from the standard z distribution? A) Continuous distribution B) Bell-shaped C) Family of distributions D) Symmetrical E) None of the above Click here to see answer by stanbon(57282)

 Question 144749: What kind of distribution is the t distribution? A) Continuous B) Discrete C) Subjective D) None of the above Click here to see answer by stanbon(57282)

 Question 144861: What value does the null hypothesis make a claim about? A) Population parameter B) Sample statistic C) Sample mean D) Type II error E) None of the above Click here to see answer by stanbon(57282)

 Question 144675: In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate? Click here to see answer by stanbon(57282)

 Question 144957: A machine is set to fill the small size packages of M&M candies with 56 candies per bag. A sample revealed: 3 bags of 56, 2 bags of 57, 1 bag of 55, and 2 bags of 58. How many degrees of freedom are there? A) 9 B) 1 C) 8 D) 7 E) None of the above Click here to see answer by vleith(2825)

 Question 144959: A machine is set to fill the small size packages of M&M candies with 56 candies per bag. A sample revealed: 3 bags of 56, 2 bags of 57, 1 bag of 55, and 2 bags of 58. How many degrees of freedom are there? A) 9 B) 1 C) 8 D) 7 E) None of the above Click here to see answer by stanbon(57282)

 Question 144956: The mean length of a small counter balance bar is 43 millimeters. There is concern that the adjustments of the machine producing the bars have changed. Test the claim at the 0.02 level that there has been no change in the mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were selected at random and their lengths recorded. The lengths are (in millimeters) 42, 39, 42, 45, 43, 40, 39, 41, 40, 42, 43 and 42. The mean of the sample is 41.5 and the standard deviation 1.784. Computed t = – 2.193. Has there been a statistically significant change in the mean length of the bars? A) Yes, because the computed t lies in the area beyond the critical. B) No, because the information given is not complete. C) No, because the computed t lies in the area to the right of –2.718. D) None of the above Click here to see answer by stanbon(57282)

 Question 144955: What is the level of significance? A) Probability of a Type II error B) Probability of a Type I error C) z-value of 1.96 D) Beta error E) None of the above Click here to see answer by stanbon(57282)

 Question 144954: Test at the 0.01 level the statement that 55% of those families who plan to purchase a vacation residence in Florida want a condominium. The null hypothesis is p = 0.55 and the alternate is p  0.55. A random sample of 400 families who planned to buy a vacation residence revealed that 228 families want a condominium. What decision should be made regarding the null hypothesis? The Z critical is 2.576 and the test statistic calculates to : (228/400 - .55)/ sqrt(.55(.45)/400) = 0.8. A) Do not reject it B) Reject it C) Cannot accept nor reject it based on the information given D) None of the above Click here to see answer by stanbon(57282)

 Question 145004: A sample of 20 pages was taken without replacement from 1,591- page phone directory Ameritech Pages Plus Yellow pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multi colored illustrations, maps, and text). The data (in square millimeters) are shown below: 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 a. construct a 95 percent confidence interval for the tru mean. b) why might normality be an issue here? c). what sample size would be needed to obtain an error of +/- 10 square millimeters with 99 percent confidence? d). if this is not a reasonable requirement, suggest one that is. (data from a project by MBA student Daniel R. Dalach.) Click here to see answer by stanbon(57282)

 Question 145045: A 10-year study conducted by the American Heart Association provided data on how age related to the risk of strokes. Suppose that the following data was obtained in a follow-up study. Risk is interpreted as the probability that the patient will have a stroke over the next 10-year, Patient Risk Age 1 12 57 2 24 67 3 13 58 4 56 86 5 28 59 6 51 76 7 31 78 8 18 56 9 37 80 10 15 78 11 22 71 12 36 70 13 15 67 14 48 77 15 15 60 16 36 82 17 8 66 18 34 80 19 3 62 20 37 59 a) Develop an estimated regression equation that can be used to relate the risk of a stroke to the person’s age. b) Is the relationship between risk and age significant at the 95% confidence level? c) Compute the correlation coefficient and interpret the result. Click here to see answer by stanbon(57282)

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