A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100.Find the probability that the sum of the 100 values is greater than 3,908. (Round your answer to four decimal places.)0.0765XHow is the central limit theorem for sums z-score formula used to find the probability?Additional MaterialsReading

Mean of the population, Standard deviation of the population, Sample size, The random variable…

Answered: A researcher measures the amount of…

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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Mean (Average): 76 Population Standard Deviation, σ 19 Total Numbers, N 45 What is the z-score for a grade of 65? What is the probability of randomly choosing a score that is 65 or more?
K Assume that adults have IQ scores that are normally distributed with a mean of 101.5 and a standard deviation 20.1. Find the first quartile Q₁, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
K Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? T OA. 0.1 3.50 6.9 Outcome 0.3 0.25- 0.2 0.15 (ii) Which graph shows the sampling distribution of the sample mean for n = 2? 0.1- 0.05- 0² 123456 Outcome Get more help. Y átv 01 0!!!!! 1 2 3 4 5 6 Outcome B. & 0.22 0.15 0.1- 0.05 0- MacBook Air + 1 2 3 4 5 6 Outcome b. (i) For n=2, the mean is and the standard deviation is. (Round to two decimal places as needed.) U A4 F7 01 0++++++ 1 2 3 4 5 6 Outcome O C. 8 0.23 0.15- 0.1 0.05- 03 1 2 3 4 5 6 Outcome Clear…
A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. Find the sum with a z-score of -2.4. (Enter an exact number as an integer, fraction, or decimal.) 3888.4 X How is the central limit theorem for sums z-score formula used to find the sum? Additional Materials Reading
Steps and explanation
Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part: 0/ 2 Part 1 of 2 (a) The student makes more than S15.750. P(X>15.750) = %3D
K Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 114 pounds and a standard deviation of 38.8 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. View an example Get more help. G Clear all Check answer
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69.5 bpm. For a random sample of 168 adult males, the mean pulse rate is 70.8 bpm and the standard deviation is 11.3 Kbpm. Complete parts (a) and (b) below. B W S a. Express the original claim in symbolic form. bpm ger or a decimal. Do not round.) View an example X H and O P P # 3 E D Get more help. 80 C $ 4 944 R F V % 5 2 T G 6 B MacBook Air Y H 7 N 60 *7 U J 8 FR I M 9 K 8 O V- I > O L command P . V > Clear all : ; I { [ option + 11 ? I Check answer 49 EVE 1 delete retur
Points: 5 10) Find the mean and standard deviation for the probability distribution. Round answers to the nearest tenth. Show your work below. P(x) .000 1 2 3 14 .002 .001 0.05 0.257 0.69 Мean Standard Deviation
Solve using R Caculator The average hourly wage for manufacturing workers in the United States is $16.17 per hour, with a standard deviation of $1.42. Assume the data is normally distributed. What is the probability that a randomly chosen manufacturing worker makes more than $15.95 an hour?List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. There is a ___ chance that a randomly chosen manufacturing worker makes more than $15.95 per hour.

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