2. Assume that the average number of apps on a smartphone is normally distributedwith a mean of 90 and standard deviation of 25. A random sample of 100smartphones collected. (5pts each)A. Find the sampling mean.B. Find the standard error of the mean.HINT: Use the formula for σ.On the axis above, do parts C-G.C. Sketch a normal curve. (3 pts)D. Label the axis with correct letter (z, x or x) to represent a normal distribution.(3pts)E. Label the axis with the sampling mean (the value from #2A). (2pts)F. Label the axis with the other 6 values (the values that represent 1,2, and 3standard errors of the mean away from the mean, the value you found in #2B).(HINT: These 6 numbers you put on the axis are NOT identical to the 6 numbersyou put on the axis in 1D.) (6pts)G. Shade the area under the curve that corresponds to "less than 85". (2 pts)H. Find the probability that the sample mean is less than 85. Show your work orwhat you enter into a calculator. Round to 4 decimal places. (8pts)

μx=90σx=2.5 Explanation:μx=90σx=2.5For parts C-G : I draw all the steps in one normal curve In…

Answered: 2. Assume that the average number 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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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 bone density test scores that can be used as cutoff values separating the lowest 6% and highest 6%, indicating levels that are too low or too high, respectively. Sketch the region containing the lowest 6% and highest 6%. Choose the correct graph below. O A. Za Za E OB. The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Za Za OD. Za Za ♫
A sample of human brain volumes (cm³) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 1075 O A. List the z scores for the normal quantile plot. 10 (Round to two decimal places as needed. Use ascending order.) O C. z score z score 321 Identify the coordinates of each point in the normal quantile plot. Use ordered pairs of the form (x,y), where x is the sorted human brain volumes, and y is the corresponding z score. ☐☐☐☐☐☐☐☐ (Type ordered pairs. Round to two decimal places as needed. Use ascending order.) Construct the normal quantile plot. -2- -3- 900 1077 WARU 957 -2- -3+ 900 1026 X Values X Values 1077 1500 1500 Q Q OB. O D. 1443 z score z score Do the data appear to come from a normally distributed population? ܚ ܝ…
4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... 90 A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the left half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 90. Question content area bottom Part 1 The area of the shaded region is enter your response here. (Round to four decimal places as needed.)
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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. Find the probability that a given score is between -2.05 and 3.87 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. OB. OC. OD. -2.05 3.87 2.05 3.87 -2.05 3.87 -2.05 3.87 The probability is (Round to four decimal places as needed.)
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P., the 58- percentile. This is the temperature reading separating the bottom 58% from the top 42%. P = °C Question Help: D Post to forum Submit Question Type here to search 耳

Sketch a standard normal curve and shade the area that lies to the left of a. 2.15, b. - 1.61, c. 0, and d. - 7. Then determine the area under the standard normal curve that lies in the area of interest for each part. Click here to view page 1 of the normal distribution table. Click here to view page 2 of the normal distribution table. c. Sketch a standard normal curve and shade the area under the curve that lies to the left of 0. Choose the correct graph below. A. 0 Z G OB. 0 The area to the left of 0 is (Round to four decimal places as needed.) O C. -1 0 O D. -1 0 Time Remaining: 01:09:16 Next
Use the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. a. List the z scores for the normal quantile plot. (Round to two decimal places as needed. Use ascending order.) b. identify the coordinates of each point in the normal quantile plot. Use ordered pairs for the form (x,y), where x is the sorted arm circumferences in ascending order, and y is the corresponding z score. (Round to two decimal places as needed. Use ascending order.)
I vacuum cleaners. The weights are classified according to vacuum cleaner type. At a=0.10, can you conclude that at least one mean vacuum cleaner weight is different The table available below shows the weights (in pounds) for a sample from the others? E Click the icon to view the vacuum cleaner weight data. Let Hgu. PBLU and PTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? O A. Ho: Heu * PBLU HTC H PBU PBLU =HTC Weight of Vacuum Cleaners by Type O B. Ho: At least one of the means is different. H PBu = HBLUu =PTC &c. Họ: PBU = HBLU =HTC Bagged upright 22 19 Bagless upright Top canister 21 22 23 25 H: At least one of the means different. 17 20 15 18 18 19 O D. Ho: PBU = PBLU "HTC 23 20 26 25 22| 23 Ha: Peu * PBLU *HTC What is the test statistic? Print Done F= (Round to two decimal places as needed.)
Find the proportion of Normally distributed observations with a zz-score above -1.94. Give your answer to four decimal places.
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