The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 15% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie?
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Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
A: Solution: Let X be the undergraduate grade point averages of students taking an admissions test in a…
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A: We have to use empirical rule.
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A: here use given sample data n = 12 (sample)
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A: Excel formula: =NORMINV(0.305,0,1)=-0.5100
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A: given data normal distributionμ = 20.9 σ = 5.3we have to solve (b) % of data scored under 17 = ?
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A: Mean(μ)=1.59 Mgal standard deviation(σ)=2.83 Mgal
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Q: Standardized tests: In a particular year, the mean score on the ACT test was 22.3 and the standard…
A: Given,For SAT mathematics test:mean(μ)=504standard deviation(σ)=100and Z-score=-0.5
Q: The Mathematics section of the ACT test had a mean of 20.9 and an SD of 5.3 for the years 2013-2015.…
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Q: The test scores for the analytical writing section of a particular standardized test can be…
A: It is given that the mean is 3.5 and the standard deviation is 0.84.
Q: A water footprint is a measure of the appropriation of fresh water. The per capita water footprint…
A: μ=1.64 , σ=2.77
Q: A water footprint is a measure of the appropriation of fresh water. The per capita water footprint…
A: Population Mean,μ = 1.52 Population Standard Deviation,σ = 2.79
Q: a) About % percent of students scored over 30.
A: Given: Mean of the mathematics section of the ACT test , μ=20.9 Standard deviation of the…
Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
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Q: The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year…
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A: Here it is given that - Mean (μ) = 2327 Standard deviation (σ) = 584.3
Q: The test scores for the analytical writing section of a particular standardized test can be…
A: Given from graphMean(μ)=3.5standard deviation(σ)=0.77
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A: given data accounting : μ1 = 50000σ1 = 1500x1 = 53000 Marketing : μ2 = 45500σ2 = 1000x2 = 49000…
Q: The per capita energy consumption level (in kilowatt- hours) in a certain country for a recent year…
A: From the given problem Mean
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- A water footprint is a measure of the appropriation of fresh water. The per capita water footprint (in mega gallons) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What water footprint represents the 88th percentile? (b) What water footprint represents the 29th percentile? (c) What water footprint represents the third quartile? Round to two decimal places as needed.)Hz A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 19 days yields the following return percentages. -2.4, -2.64, 0.75, 1.96, 0.25, -2.17, 1.74, 2.59, 2.97,-0.86, -2.55, -0.72, -1.33, -0.95, -1.73, 2.49, 0.82, 0.15, -2.18 Send data to calculator Send data to Excel If we assume that the returns are normally distributed, find a 90% confidence interval for the mean daily return on this stock. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit: I Don't Know Submit X 3 O Search e acer Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use * XIQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with (Round your answers to 2 decimal places): (a) the upper 2 percent? (Hint: the probability to the right of the score is 2%) (a) (b) the lower 10 percent?(Hint: the probability to the left of the score is 10%) (b) (c) the upper 60 percent? (c) (d) the lower 40 percent? (d)
- IQ test scores are standardized to proceed a normal distribution with the mean of u =100 and a standard deviation of 0 = 15. Find the proportion of the population in each of the following IQ categories. a. Genius or new genius IQ greater than 140 b. Very Superior intelligence IQ between 120 and 40 c. Average or normal intelligence IQ between 90 and 109Listed below, from left to right and then top to bottom, are numbers of law enforcement fatalities for 20 recent and consecutive years. First find the mean, identify each value as being above the mean (A) or below the mean (B), then test for randomness above and below the mean using α = 0.05. Is there a trend? 183 140 173 172 144 163 242 159 150 165 164 155 191 147 124 160 171 125 106 116 The mean is. (Type an integer or a decimal. Do not round.) CExam grades: Scores on a statistics final in a large class were normally distributed with a mean of 72 and a standard deviation of 8. Use the T1-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 32nd percentile of the scores.. (b) Find the 67 percentile of the scores. (c) The instructor wants to give an A to the students whose scores were in the top 8% of the class. What is the miniìmum score needed to get an A? (d) Between what two values are the middle 70% of the scores? (Enter the smaller number in the first box.)
- Standardized tests: In a particular year, the mean score on the ACT test was 22.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 504 and the standard deviation was 100. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Find the z-score for an ACT score of 30.A special bumper was installed on selected vehicles in a large fleet. The dollar cost of body repairs was recorded for all vehicles that were involved in accidents over a 1-year period. Those with the special bumper are the test group and the other vehicles are the control group, shown below. Each "repair incident" is defined as an invoice (which might include more than one separate type of damage). Statistic Test Group Control Group Mean Damage x¯1x¯1 = $ 1,101 x¯2x¯2 = $ 1,766 Sample Standard Deviation s1 = $ 696 s2 = $ 838 Repair Incidents n1 = 12 n2 = 9 (a) Construct a 90 percent confidence interval for the true difference of the means assuming equal variances. (Round answers to 3 decimal places. Negative values should be indicated by a minus sign.) (b) Repeat part (a), using the assumption of unequal variances with Welch's formula for d.f. (Round answers to 2 decimal places. Negative values should be indicated by a minus sign.) (d) Construct separate…The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What consumption level represents the 5th percentile? (b) What consumption level represents the 22nd percentile? (c) What consumption level represents the third quartile? u= 2309 kWh o = 571.7 kWh E 309 2309 4309 Kilowatt-hours (a) The consumption level that represents the 5th percentile is kilowatt-hours. (Round to the nearest integer as needed.) (b) The consumption level that represents the 22nd percentile is kilowatt-hours. (Round to the nearest integer as needed.) (c) The consumption level that represents the third quartile is kilowatt-hours. (Round to the nearest integer as needed.)
- The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. H=2267 kWh VE o=574.7 kWh 2267 Kilowatt-hours 267 X 4267 (a) What consumption level represents the 6th percentile? (b) What consumption level represents the 17th percentile? (c) What consumption level represents the third quartile?The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 15% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? 2.48 3.24 Grade point average (a) The minimum UGPA that would still place a student in the top 15% of UGPAs is 3.41. (Round to two decimal places as needed.) H=3.24 0.16 (b) The middle 50% of UGPAS lies between on the low end and on the high end. (Round to two decimal places as needed.) Q GFind the z-score boundaries that separate a normal distribution as described in each of the following. (4 points) The middle 36% from the 64% in the tails. The middle 60% from the 40% in the tails.