A leading magazine, (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 31 weeks. Assume that for the population of all unemployed individuals the population meanlength of unemployment is 31 weeks and that the population standard deviation is 4 weeks. Suppose youwould like to select a random sample of 34 unemployed individuals for a follow-up study.Find the probability that a single randomly selected valúe is less than 30.P(X < 30) =Find the probability that a sample of size n = 34 is randomly selected with a mean less than 30.P(M < 30) =Enter your answers as numbers accurate to 4 decimal places.Submit Question%232$4&34.78.y

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Answered: Find the probability that a single…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4/qui/attempt.phplattempt-8528868cmid-127283 ANSWER ALL QUESTIONS 1. (a) The Monthly expenditure of family is nomally distributed with mean riyals 100 and variance Riyals 64. Evaluate the probability that the expenditure of a family is @ between 110.5 and 125.75, (ii) at most 93.5. (b) P(Z < K) - 0.45. Evaluate K. II. Listed is data on profit and market capitalization for a sample of 5 different firms: Market 20 40 55 18 40 (X) Profit 30 35 22 18 (Y) A. Find the Karl Person's coeflicient of corelation B. Find an estimate of profit when market capitalization is 30 Anduom/mod/quir/attempt.php?attempt-852886&cmid 127283 C. Find an estimate of market capitalization when profit is 20 D. Estimate the simple linear regression model .00 01 02 03 04 .05 .06 07 .08 09 0120 0160 .0557 .0910.0948 1331 0239 0279 0675 0636 .1026 1064 0.0 0.1 O080 0199 .0319 .0359 .0753 .1141 .0000 .0040 .0398 .0438 0478 .0517 0596 .0714 0.2 .0793 0832 0871 0987 1103 0.3 1179 .1217 .1591 1950 .1255 .1293 1368 .1406…
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and a standard deviation of 8 days. O Part (a) In words, define the random variable X. O the mean time of all trials O the length, in days, of a criminal trial O the length, in hours, of a criminal trial O the number of trials that last 22 days O Part (b) Give the distribution of X. <-O(0-0) O Part (c) If one of the trials is randomly chosen, find the probability that it lasted more than 26 days. (Round your answer to four decimal places.) Sketch the graph. 10 20 30 40 10 20 30 40 10 20 30 40 10 20 30 40 Write the probability statement. O Part (d) 60% of all trials of this type are completed within how many days? (Round your answer to two decimal places.) days
Find the mean, and standard Random variable =X 1 | 2 deviation for the probability Probability =P(X) 0.25 0.5 0.25 distribution described in Table
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 adultst. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n, = 8 children (9 years old) showed that they had an average REM sleep time of x, = 2.9 hours per night. From previous studies, it is known that o, = 0.6 hour. Another random sample of n, = 8 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that o, = 0.7 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. O Ho: H1 = H2i HiitHy> H2 O Ho: H,
A population forms a normal distribution with a mean of 85 and a standard deviation of 24 compute the Z score for the sample mean M equals 91 for N equals 16 scores Z equals what
What is the probability of a continuous Normal random variable given a value of the random variable? What are the parameters? Use a calculator and show the functions used to find P(X>10) given a mean of 25 and a standard deviation of 2.
a A2 The sample of size n=87 Is drawn From a population whose standard deviation 189 Find The margin of ERROV for a 90%. Confieuence Interat
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 = 9 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 σ1 = 0.5 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of x2 = 2.20 hours per night. Previous studies show that σ2 = 0.7 hour. (a) What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Round your answer to two decimal places.)(b) Find (or estimate) the P-value. (Round your answer to four decimal places.) (c) Find a 98% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limit upper limit
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 = 9 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 σ1 = 0.6 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that σ2 = 0.8 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? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Solve by showing steps properly
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 = 11 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 = 0.6 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 2.20 hours per night. Previous studies show that ?2 = 0.7 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 < ?2; H1: ?1 = ?2 H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 < ?2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume…
A random variable x follows Poisson distribution with average 7, Find p(x=4) = Round to 4 decimals

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Find the probability that a single randomly selected valúe is less than 30. P(X < 30) = Find the probability that a sample of size n = 34 is randomly selected with a mean less than 30. P(M < 30) =