The weight of an energy bar is approximately normally distributed with a mean of 42.80 grams with a standard deviation of 0.035 gram. Complete parts (a) through (e) below.a. What is the probability that an individual energy bar weighs less than 42.775 grams?(Round to three decimal places as needed.)b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.775 grams?(Round to three decimal places as needed.)c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.775 grams?(Round to three decimal places as needed.)d. Explain the difference in the results of (a) and (c).times the standard error of the sample in (c) withPart (a) refers to an individual bar, which can be thought of as a sample with sample size . Therefore, the standard error of the mean for an individual bar issample size 25. This leads to a probability in part (a) that isv the probability in part (c).(Type integers or decimals. Do not round.)e. Explain the difference in the results of (b) and (c).View instructor tipP Type here to search15R.

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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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The distribution of length of kids' feet for children less than 13 years has an average measurement of 7.5 inches and a standard deviation of 2.4 inches. Calculate the length of feet in inches required for a randomly selected child less than 13 years to be in the lowest 20 percent. a. 4.8 O b. 5.48 C. 9.52 d. 0.001
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than - 1.89. Sketch the region. Choose the correct graph below. O A. OB. C. O D. 1,89 -1.89 -1.89 -1.89 1,89 The probability is (Round to four decimal places as needed.)
The average price of a gallon of bottled water is $1.58 with a standard deviation of $0.35. If the variable is normally distributed, find the probability that a sample of bottled water bought at 25 stores would have a mean price between $1.50 and $1.60. Express your answer as a decimal to four decimal places. Your Answer: FIVE STAR 115% IN x 9% IN/29.5 cm x 24. om 419 sutput 343/ 4クム X4700=Pout
Rental car transaction times are uniformly distributed between 15 and 35 minutes. a. P( transaction takes less than 20 minutes) b. P(transaction takes more than 29 minutes) c. P( transaction takes between 18 and 30 minutes) d. P(transaction takes exactly 19 minutes) e. What is the mean transaction time? f. Determine the standard deviation.
Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)=-1 E(Y) = 4 E (Z)=0 Var(X)=20 Var(Y) = 27 Var (Z) = 38 Compute the values of the expressions below. E (5Z-2) = 0 2Z+X -5 Var(2X-3) = 0 E = E (32²) = 0 Explanation Check X O hp Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Term
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 370 grams and a standard deviation of 15 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) a. Highest 30 percent b. Middle 70 percent to c. Highest 90 percent d. Lowest 20 percent
16
A distribution has a std deviation of 5. Describe the location of each of the following z score in terms of the position relative to the mean. For example, a z=+1.0 is a location that is 4 points above the mean a. Z=+2.0 b. Z=+.50 с. Z=-2.5 d. Z=-1.50
The mean deviation of the set of these measurements (8.3, 8.7, 8.5, 8.1) is: a. 0.2 b. 0.5 c. 0.1 d. 0.3
Find the standard deviation.. Round to one more place than the data 7,19,20,8,17, 14, 8, 20, 12 O A. 5.1 O B. 1.7 O C. 5.4 O D. 5.7
. In a county male height is normally distributed with a mean of 177 cm and astandard deviation of 6 cm. What percentage of males have a height between 170cm and 182 cm.
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 16 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.____%b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!_______people

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