A random sample of size 16 is taken from the normal distribution with mean 20 andvariance 4. Let C denote the sample average. What is the probability that C is larger than19?O a.O b. 0.6915O C.O d. 0.3085O e.0.99720.02280.5000

Answered: Image /qna-images/answer/bff07c36-c2a2-4ecd-b51e-f83214465793.jpg

Answered: A random sample of size 16 is taken…

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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A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: Low Temperature High Temperature 17.9 21.2 17.6 20.9 18.3 19.8 15.9 20.3 16.5 20.5 17.8 21.3 16.1 20.8 18.7 19.7 16.4 21.5 17.2 20.3 s = 0.9709 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances. b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances.
Let X be a normal random variable with mean 48 and standard deviation 3.8. Suppose that x = a has a z-score of z = 2.5. How do we interpret this z-score? Group of answer choices: x = a has a difference of 2.5 with x = 48 x=a is 2.5 standard units away from x = 48. x = a is 3.8 standard units away from x = 48 x = a is has a difference of 3.8 from x = 48.
For a t-distribution with 13 degrees of freedom, what is the probability that a t-score will be greater than 1.771? O A. 0.025 O B. 0.075 O C. 0.062 O D.0.1 O E. 0.05
The area under a normal curve corresponding to a certain characteristic of the normal random variable may be interpreted in any of the following ways. Select all that apply. A. The area corresponds to the proportion of the population with the characteristic. B. The area corresponds to the probability that a randomly selected individual from the population has the characteristic. C. The area corresponds to the number of individuals in the population with the characteristic.
The average cost per household of owning a brand new car is $5,500. Suppose that we randomly selected 45 households, determine the probability that the sample mean for these 45 households is between $5,250 and 6,000. Assume that the variable is normally distributed and the standard deviation is $1,550. SD of the sample mean (input 4 decimal places)= type your answer... type your answer... z-scores (input 2 decimal places) type your answer... Final answer/Probability (input 2 decimal places type your answer... %
Suppose we have a normal disbn. with mean=10 and variance=5. We draw a sample size of size 8 from this distribution and compute the sample variance, s². What is the probability that s² > 10?
2. 4. Given the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. (answer: YES or NO) Find the mean (one decimal place) Find the variance (two decimal places) Find the standard deviation (one decimal place.) The number TV in a household (X) 0.04 1 0.12 0.22 0.37 3. 0.14 0.11 5. • Previous Next ► 5- L AON tv 23 TS MacBook Air
Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
In a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is the probability that the sample mean life expectancy is less than 71 years? O 0.0899 O 0.9101 O 0.7720 O 0.9987
What is the probability that a sample will have a z-score of more than 2.90? Z 0.0 2.50.99380.99400.99410.9943 2.60.99530.99550.99560.9957 2.70.99650.99660.99670.9968 2.80.99740.99750.99760.9977 2.90.99810.99820.99820.9983 0.01 0.02 0.03 99.81% O 0.19% 19.00% 0.9981% ere to search F7 F8 F9 F10 E3 F4 F5 F6 2$ % 6 7 8 9 2 3 W R
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 11 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 1 standard deviation. Units with weights less than 10.9 or greater than 11.1 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.05. Assume the process control remains the same, with weights less than 10.9 or greater than 11.1 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? c. What is the advantage of reducing process…
r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 510 and a standard deviation of 170 . The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 526 . What is the probability that a sample of 40 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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A random sample of size 16 is taken from the normal distribution with mean 20 and variance 4. Let C denote the sample average. What is the probability that C is larger than 19? O a. 0.0228 O b. 0.6915 O c. 0.5000 O d. 0.3085 O e. 0.9972