Consider Compute the Z-Score of a score of 3 a Normal Distribution N( 15,4)
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: The given data is as follows: For children, The sample size is 9, sample mean is 2.9 hours and the…
Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
A: (a)The minimum UGPA that would still place a student in the top 10% of UGPAs is,
Q: What is the level of significance? State the null and alternate hypotheses. (Enter != for ≠ as…
A: Let be the population mean sleep times for REM and non-REM respectively. Given that,Assume the…
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Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
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Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…
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Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
A: Given information: μ=3.28σ=0.19
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Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: Givan Mean=66 Standard deviations=18 n=6
Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
A: μ=3.28,σ=0.18
Q: The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a…
A:
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: The formula for calculating the z- test statistic for two sample means is, The summary of the…
Q: The time needed for a random student to complete Quiz #3 in Mat 301 has approximately a normal…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: EM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: For Children : Mean , x1 = 2.5 Population standard deviation , σ1 = 0.7 For Adults : Mean , x2 =…
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: Given that x1 = 2.6 σ1 = 0.6 n1 = 8 children x2 = 1.90 σ2 = 0.5 hour n2 = 8
Q: ounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of…
A: (a) Given: μ=25, σ=7 The corresponding z-value needed to be computed: The probability that a…
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Q: Find (or estimate) the P-value. (Round your answer to four decimal places.) b) Sketch the sampling…
A: For children, Sample size n1 = 9, sample mean = 2.9, population SD = 0.7 For adults, Sample size n2…
Q: How do i find the Z score boundaries that seperate a normal distribution as described in "The middle…
A: The total area is 100 % in Normal distributionMean Divides the whole area equally 50% on both…
Q: a) 0.05 B) 2nd NS) one D) 0.5 TO) 2,5
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Q: The average number of cycles of charging of rechargeable batteries manufactures in a certain factory…
A: Given information- Population mean, µ = 485 Population standard deviation, σ = 32 Let X be the…
Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
A: Mean(μ)=3.36standard deviation(σ)=0.16
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: Given: n1 = 9, x1 = 2.9, s1 = 0.7 n2 = 9, x2 = 2.2, s2 = 0.5
Q: e is normally distributed for both children and adults. A random sample of n1 = 9 children (9 years…
A: The level of significance is given as α = 0.10(=10%). Hypotheses for the test are given below: Test…
Q: A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons'…
A: To test:H0:μ1=μ2H1:μ1<μ2
Q: Suppose that variable z has a standard normal distribution. Find (a) Pr (z ≥ 1.30) (b) Pr(z ≥ -1.30)…
A: given data, variable z has a standard normal distribution,X~N(0,1)we have to find out the given…
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
A: The test statistic is obtained as below: z=x1¯-x2¯-μ1-μ2σ12n1+σ22n2 Here,…
Q: A radar makes a random error in measuring the distance of an aircraft as follows. If the true…
A: Problem can be solved using Standard Error formula and Standard Normal Table.
Q: The average number of miles (in thousands) that a car's tire will function before needing…
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Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
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Q: Suppose a sample of 155 students at a university were asked their grade in statistics. 21 said they…
A: Given that Sample size n =155 np=21
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Q: What is the cumulative area under the standard normal curve between z- score -1 and z-score 1 ?
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A: Let X be the random variable that the final scores for students in the Math class over the last 10…
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A: As per bartleby guideline expert have to answer first question only dear student please upload other…
Q: Which of the following is true about the Standard Normal curve? Select one: A. it is symmetric…
A: Solution: The true statement about standard normal curve is The total area under the curve = 1…
Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…
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Q: The final scores for students in my Math 102 classes over the last 10 years are approximately…
A: Let be the final scores of students in my Math 102 classes over the last 10 years.And the random…
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- K Trials in an experiment with a polygraph include 96 results that include 23 cases of wrong results and 73 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. cx A @ Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: p=0.20 H₁: p0.20 J D. H₂ p=0.80 H₁: p*0.80 OF H₂: p=0.80 H₁: p>0.80 * 8 A DII 1 M D 5373255 (1).docx 9 K O 1 дв O 4 F10 P 7 L command > Clear all . : ; d { + [ option ? Check answer 11 1 1 Show All F } 1 X deleteFind the z-scores for which 28% of the distribution's area lies between −z and z.REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 8 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that ?1 = 0.9 hour. Another random sample of n2 = 8 adults showed that they had an average REM sleep time of x2 = 2.00 hours per night. Previous studies show that ?2 = 0.6 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. (a) What is the level of significance?State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2H0: ?1 = ?2; H1: ?1 < ?2 H0: ?1 = ?2; H1: ?1 > ?2H0: ?1 < ?2; H1: ?1 = ?2 (b) What sampling distribution will you use? What assumptions are you…
- A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their fathers at the α=0.10 level of significance. The normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers so the use of a paired t-test is reasonable. Observation 1 2 3 4 5 6 Height of father (in inches) 70.1 74.5 69.5 65.1 69.6 65.9 Height of son (in inches) 69.5 75.9 71.7 69.4 71.5 70.7 What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons. A. H0: μ1=μ2 Ha: μ1<μ2 B. H0: μ1=μ2 Ha: μ1≠μ2 C. H0: μ1=μ2 Ha: μ1>μ2 D. H0: μ1≥μ2 Ha: μ1<μ2Recall that if the sample proportion of defective cartridges is more than 0.02, the entire shipment will be returned to the vendor. We have been asked to determine the probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.06. This means we will find the area in the right tail of the standard normal distribution above the z-score of -2.55. Recall that n = 230, p = 0.02, and p = 0.06. Use the appropriate table in Appendix A or technology to find the probability. (Round your answer to four decimal places.) P(Returned) = P(p > 0.02) = P(z > -2.55) 0.9957 The approximate probability that a shipment will be,returned. if the true proportion of defective cartridges in the shipment is 0.06, rounded to four decimal places, is Enter a number.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 5% of UGPAS? (b) Between what two values does the middle 50% of the UGPAs lie? (a) The minimum UGPA that would still place a student in the top 5% of UGPAS is (Round to two decimal places as needed.) H=3.30 a=0.18 3.30 Grade point average O Q
- Determine the continuous uniform distri- bution that has the same mean and same variance as a x²-distribution with 9 degrees of freedom. Give the right end point of the distribution.The lengths of home runs hit by players for the Mets have approximately a normal distribution with μ = 399 feet and a standard deviation of σ=31.16 feet. Suppose that we randomly select 81 home runs hit by players of the Mets. Let X be the random variable representing the mean length of home runs in feet and let Xtot be the random variable representing the sum of the lengths of the home runs in feet for the 81 selected home runs. d) About how many of the 81 sampled home runs have length between 400 and 420 feet? (nearest integer) e) What is the standard deviation of the distribution of X? f) What is the standard deviation of the distribution of Xtot?REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 8 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that ?1 = 0.9 hour. Another random sample of n2 = 8 adults showed that they had an average REM sleep time of x2 = 1.60 hours per night. Previous studies show that ?2 = 0.6 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. what is the sample test statistic find or estimate p value
- The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.6 minutes. 40 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of XX ~ N (21, 2.6) What is the distribution of ¯xx¯ ~ N (21, 0.4111) What is the distribution of ∑x∑x ~ N(840, 16.4438). If one randomly selected runner is timed, find the probability that this runner's time will be between 20.8833 and 21.4833 minutes. 0.0913 e. For the 40 runners, find the probability that their average time is between 20.8833 and 21.4833 minutes. 0.4913 f. Find the probability that the randomly selected 40 person team will have a total time less than 832. _________ For part e) and f), is the assumption of normal necessary? No The top 10% of all 40 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and…The number of sick days used yearly by employees at a company had a distribution with a mean of 7 and a standard deviation of 2. Find the probability that the mean number of sick days used by a random sample of 34 employees exceeded 6.5 days.The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 20 minutes and a standaard deviation of 7 mintuses. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 15 minutes (b) between 20 and 27 minutes and (c) more than 30 minutes (a) The probability that a randomly selected athlete uses a stairclimber for less than 15 minutes is ( round to four decimal places as needed )
