**Instructions:**Use the normal distribution to the right to answer the questions.(a) What percent of the scores are less than 19?(b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?**Diagram Explanation:**The diagram is a bell curve representing a normal distribution of standardized test composite scores. The horizontal axis is labeled "Score," and two specific scores, 19 and 21, are marked on the axis. The mean (μ) of the distribution is 19.4, and the standard deviation (σ) is 5.4. The curve is symmetrical around the mean.**Questions:**(a) The percent of scores that are less than 19 is [ ]%.(Round to two decimal places as needed.)(b) About [ ] scores would be expected to be greater than 21.(Round to the nearest whole number as needed.)

given data, normal distribution ,μ=19.4σ=5.4we have to find out the probabilities for the given…

Answered: Use the normal distribution to the…

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 population of N = 5 scores has a mean of u = 20 and a standard deviation of o = 4. Which of the following is the correct Interpretation of the standard deviation? O The average distance of scores from the mean of p- 20 is 5 points. O The average distance of scores from the mean of u = 20 is 1 point. The average distance of scores from the mean of u = 20 is 4 points. O The average squared distance of scores from the mean of u = 20 is 4 points.
H0: μ ≤ 16.09 vs. HA: μ > 16.09What is the test statistic for sample of size 25, mean 13.97,and standard deviation 1.48?
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately o = 61.5 dollars. You would like to be 90% confident that your estimate is within 1.5 dollar(s) of average spending on the birthday parties. How many parents do you have to sample? n =
Can someone please help? Thank you.
Find the percent of area under a normal curve between the mean and the given number of standard deviations from the mean. (Note that positive indicates above the mean, while negative indicates below the mean.) -0.40 % (Round to the nearest tenth as needed.)
In a particular statistics exam, the 35th percentile of final exam score is 42, and the 70th percentile of final exam score is 76. A histogram of the scores approximately follows the normal curve. What is the approximate standard deviation of the final exam scores? Hints: What is the z value in the normal table that gives you closest to 35% of the area between -z and z? Now what does that tell you about the number of SDs in between 42 inches and 76 inches? You might find it helpful to draw a picture of the normal curve with original units and standard units. Group of answer choices a. 7.5 b. 13.1 c. 20.7 d. 37.8
On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. What is the test grade, rounded to the nearest whole number, with a z-score of 2.4? 65 83 90 95
The chi-square statistic for these data is x = 8.134. Which of the following intervals contains the P- value for this test? Color preference Pink Blue Yellow Green Total Female 48 24 18 30 120 Gender Male 55 34 18 116 Total 103 58 27 48 236 0.025 0.1
4. What proportion of the normal distribution is located in the tail beyond z= -1.50?
Using this data set What is the standard error of the relevant distribution? Ignoring that the number of men in the 2012 Survey was about 17,675, and the number of women was about 18,634, assume the samples were 100 men and 100 women in each Survey My worked solution is: P1: men proportion change = 15.5/100 = 0.155 N1 = 100 P2: women proportion change = 57.9/100 = 0.579 N2 = 100 {[0.155 * (1 - 0.155) /] + [0.579 * (1 - 0.579) / 100]} = 0.0037 Standard Error = 0.0037 is this correct?
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 109. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 675? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. (a) Approximately % of the SAT verbal scores are less than 675. (Round to two decimal places as needed.) (b) You would expect that approximately whole number as needed.) SAT verbal scores would be greater than 575. (Round to the nearest

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Use the normal distribution to the right to answer the questions. (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? Standardized Test Composite Scores H. 19 21 Score μ = 19.4 o=5.4