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Question 1163400: For a sample of 29 New England cities, a sociologist studies the crime rate in each city (crimes per 100,000 residents) as a function of its poverty rate (in %) and its median income (in $1,000s). He finds that SSE = 4,136,781 and SST = 7,662,937.
Calculate the standard error of the estimate.
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Question 1163253: Consider the following hypotheses:
H0: μ = 73
HA: μ ≠ 73
Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)
a. x¯= 70; s = 6.9; n = 35
b. x¯ = 76; s = 6.9; n = 35
c. x¯ = 70; s = 6.4; n = 19
d. x¯ = 70; s = 6.4; n = 24
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Question 1163238: Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p value
a. x = 46; n = 118 _______
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Question 1163235: The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 98.2% of the people who have that disease. However, it erroneously gives a positive reaction in 1.3% of the people who do not have the disease.
a. Calculate the probability of a Type I error and round your answer to 3 decimal places.
b. Calculate the probability of a Type II error and round your answer to 3 decimal places.
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Question 1163233: H0: μ = 73
HA: μ ≠ 73
Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)
1. x¯ = 70; s = 6.9; n = 35
A. p-value < 0.01
B. p-value > or equal to 0.10
C. 0.01 < or equal to p-value < 0.02
D. 0.05 < or equal to p-value < 0.10
E. 0.02 < or equal to p-value < 0.05
2. x¯ = 76; s = 6.9; n = 35
A. 0.01 < or equal to p-value < 0.02
B. p-value < 0.01
C. p-value > or equal to 0.10
D. 0.05 < or equal to p-value < 0.10
E. 0.02 < or equal to p-value < 0.05
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Question 1163125: Help needed please....
Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p-value
a. x = 46; n = 118 _______
b. x = 112; n = 311 _______
c. p¯ = 0.38; n = 53 _______
d. p¯ = 0.38; n = 430 _______
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Question 1163084: 1. Three supermarket chains in Quezon City each claim to have the lowest overall prices. As part of an investigative study on supermarket advertising, a particular news company selected nine available grocery items on a particular day. Then, the price of each selected item was checked at each of the three chains as shown in the table. Use = 0.05 to compare the prices.
Item Supermarket 1 Supermarket 2 Supermarket 3
1 55.00 50.10 52.57
2 56.00 54.05 59.45
3 84.50 93.85 102.20
4 109.80 102.65 114.00
5 117.90 103.15 113.00
6 198.50 212.25 203.90
7 248.10 243.20 248.10
8 229.95 202.95 229.45
9 271.20 268.25 287.90
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Question 1162932: A random variable X is exponentially distributed with an expected value of 67.
a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
b. Compute P(58 ≤ X ≤ 76). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. Compute P(55 ≤ X ≤ 79). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
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Question 1162804: A multiple choice test has 25 questions, each with 5 possible choices, exactly one of which is correct.
The test is marked by giving four points to each correct choice, and subtracting one point for each
incorrect choice. No points are either given or subtracted for questions for which no choice is selected.
Mickey and Bianca each know the answer to 12 of the 25 questions, but are unsure about the rest.
Mickey leaves the other 13 unanswered, whereas Bianca answers them randomly, picking one choice
for each question with equal probabilities, independently between questions.
(a) Find the expectation and variance of the number of questions that Bianca gets correct.
(b) Find the expectation and variance of the mark that Bianca gets.
(c) Find the expectation and variance of the mark that Mickey gets.
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Question 1162676: A random variable X is exponentially distributed with an expected value of 67.
a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
b. Compute P(58 ≤ X ≤ 76). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. Compute P(55 ≤ X ≤ 79). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
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Question 1162634: An analyst estimates that the probability of default on a seven-year AA-rated bond is 0.47, while that on a seven-year A-rated bond is 0.53. The probability that they will both default is 0.45.
a. What is the probability that at least one of the bonds defaults? (Round your answer to 2 decimal places.)
b. What is the probability that neither the seven-year AA-rated bond nor the seven-year A-rated bond defaults? (Round your answer to 2 decimal places.)
c. Given that the seven-year AA-rated bond defaults, what is the probability that the seven-year A-rated bond also defaults? (Round your answer to 2 decimal places.)
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Question 1162599: A box contains 5 yellow balls and 3 green balls. Draw 2 balls without
replacement. If X represents the number of yellow balls and Y represents the
number of green balls drawn. What is the covariance of X and Y?
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Question 1162467: An industrial engineer intends to use the mean of a random sample of size n = 150 to estimate the average mechanical aptitude (as measured by a certain test) of assembly line workers in a large industry. If on the b basis of experience, the engineer can assume that alpha = 6.2 for such data, what can be assert with probability 0.99 about the maximum size of his error?
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Question 1162465: Raw material used in the production of synthetic fiber is stored in a place which has no humidity control. Measurements of the relative humidity in the storage place and the moisture content of a sample of the raw material (both in percentages) on 12 days yielded the following results:
Humidity x 42 C5 50 4C 48 62 C1 C6 44 C9 55 48
Moixture content y 12 8 14 9 11 16 7 9 12 10 1C 11
(i) Make a scatter plot to verify that it is reasonable to assume that the regression of y on x is linear (ii) Fit a straight line by the method of least squares, (iii) Estimate the moisture content when humidity is 45%. (iv) Determine the correlation coefficient.
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Question 1162307: A mechanical engineer is analyzing tensile strength of steel ( API 5L X65). A sample of 7 specimens showed a sample mean of 530 MPa. The standard deviation is known to be LaTeX: MPaσ = 5 . A 95% upper confidence interval for the true mean tensile strength is:
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Question 1162262: The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. What is the cutoff point?
317
355
433
468
471
391
408
437
455
345
519
467
425
534
425
530
513
348
521
389
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Question 1162247: 1. A business owner has designed a pay scale for his employees that follow this distribution, f(x) = (20-x)/50, 10 <= x <= 20. The mean hourly rate at this business is $13.33. If an auditor randomly selects 20 employees from the company, how likely is she to observe an AVERAGE hourly rate above $15.
2. The variable x comes from the mgf, M(t) = 1/(1-nt)^alpha, where n = 2, alpha = 11.5. Find the probability that x is between 14.848 and 32.007.
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Question 1162016: Runner's World reported that a survey by Converse of people who regularly run for exercise resulted in the data shown here. The intent of the survey was to determine if the distances were independent of runners' preference for a gel-like product built into the heels of their jogging shoes. At the 1 percent level, does there appear to be any relationship? State the hypotheses.
Distance/week (miles): <3, 3-6, 7-10, 10-13, >13
Prefer Gel: 14, 18, 12, 17, 19
Do not prefer gel: 5, 5, 8, 12, 8
No opinion: 27, 17, 8, 5, 2
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Question 1161858: Suppose that the probability that a passenger will miss a flight is 0.0957. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 59 passengers.
(a) If 61 tickets are sold, what is the probability that 60 or 61 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 65 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of
52 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 5%?
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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345, 51346..51390, 51391..51435, 51436..51480, 51481..51525, 51526..51570
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