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Help Sav A random variable is binomially distributed with n= 16 and T= 40. The expected value and standard deviation of the variables are %3D

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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REM (rapid 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, - 11 children (9 years old) showed that they had an average REM sleep time of x, - 2.5 hours per night. From previous studies, it is known that a, - 0.6 hour. Another random sample of n, - 11 adults showed that they had an average REM sleep time of x. - 1.90 hours per night. Previous studies show that o,- 0.5 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 15s level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Hgi H - ại Hạ > a O Hi , <ại H - 2 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions…
A normally distributed random variable X with variance o2=256 and P(X> 130)=0.9251. Then the mean of X is 498.64 106.96 -238.64 153.04
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 a, - 0.6 hour. Another random sample of n, -8 adults showed that they had an average REM sleep time of x2 = 2.00 hours per night. Previous studies show that o, = 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? State the null and alternate hypotheses. O Ho: H - H2i H: H1 < H2 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are…
Determine number of boxes of bread delivered each day. Find the mean and variance.
Data Tables Table of the numbers of hits for 25 games 0 1 1 2 3 3 2 1 1 5 1 1 3 4 1 33203 0 1 1 2 1 1 3 4 22 4 1 1 3222 Table of the numbers of hits for 50 games D 2 1 2 25 1 0 202 1 1 0 0 0 2 2 3 3 12 D 1 1 3 3 2 2 2 1 2 3 2 3 1 0 02 1
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,
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. X 1 3 4 P(x) 0.16790.3424 0.2938 0.1489 0.0380 0.0090 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? Click the icon to view the data tables. ... (Round to three decimal places as needed.) Compute the theoretical standard deviation of the random variable X for the given probability distribution. = 1.101 hits (Round to three decimal places as needed.) Approximate the mean of the random…
Which is not an assumed characteristic of & in the population model y₁ = Be + B₁ X₁ + εi? Multiple Choice It is a random variable. It has zero mean. ○ It is a statistic. It is unobservable.
Binomial Random Variable 2. According to the CDC, in 2015 20% of high school students rode with a driver (in the last 30 days) who had been drinking alcohol. Finish attemp A random sample 16 high school students was chosen. Assume the distribution is normal. Use the Binomial Distribution Table (PDF, 739 KB) (opens in new window) to find the probabilities. Please note, this question is specifically assessing your ability to use the table to find the probability. You may get a slightly different answer due to rounding if you use a calculator or other technology. 1. At least 15 have ridden with a drunk driver. P(r • 15) 2. Less than 4 have ridden with a drunk driver. P(r + 4) = 3. No more than 2 have ridden with a drunk driver. P(r • 2) = 4. Exactly 11 have ridden with a drunk driver. P(r • 11) = 5. At least 1 have ridden with a drunk driver. Pr + 1) = 6. Between 2 and 4 (exclusive) have ridden with a drunk driver. P(2 • 4) =
The probability of having a red color ball is 15%. The boy selected four submitted balls at random, let X be a random variable indicating the number of red color balls out of those balls selected by the boy. Identify and compute the expected value for the random variable X, i.e. E(X).
(1 point) Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace card, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 5 clubs? For the experiment above, let X denote the number of clubs that are drawn For this random variable, find its expected value and standard deviation. E(X) – Give your answers to at least 4 decimal places.
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 = 2.2 hours per night. Previous studies show that ?2 = 0.7 hour. (a)