5 it is generally believed that nearsightedness affects about 12% of children. A schooldistrict gives vision tests to 133 incoming kindergarten childrea. Describe the sampling distribution model for the sample proportion by finding its meanand standard deviation and showing how it justifies using the Normal model.b. Sketch and clearly label the model.c. What is the probability that in this group over 15% of the children will be found to benearsighted?

12 % p = 12/100 = 0.12 q = 1 -p = 1-0.12 = 0.88 n = 133 (A) : np = 133*0.12 = 15.96 nq =…

Answered: 3 it is generally believed that…

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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Suppose you estimate that approximately 8% of students on campus smoke. You decide to do a study about smoking and you randomly recruit 250 students to participate. a . Estimate the mean and st. deviation for this binomial situation. b. Would you be surprised if your sample contained 26 smokers? Why or why not? c. Would you be surprised if your sample contained 16 smokers? Why or why not? d. Would you be surprised if your sample contained 33 smokers? Why or why not?
A population consists of the following five values: 0, 0, 6, 8, and 10.a. List all samples of size 3, and compute the mean of each sample. (Round your mean value to 2 decimal places.) b. Compute the mean of the distribution of sample means and the population mean. Compare the two values. (Round your answers to 1 decimal place.)
The average house has 11 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 14 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 12, 13, 12, 12, 12, 11, 13, 12, 13, 11, 10, 12, 11, 13 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer H1: Select an answer c. The test statistic ? ▼ (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is (? v f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly more than 11 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses…
Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution. C Does the normal quantile plot depict sample data from a population with a normal distribution? O A. No. The points exhibit some systematic pattern that is not a straight-line pattern. O B. Yes. The pattern of the points is reasonably close to a straight line. O C. Yes. The points are evenly distributed above and below the mean, 0. O D. No. The points do not lie close to a straight line. 3.00- 2.00- 1.00- 0.00- -1.00- -2.00- -3.00+ X 60 80 100 120 140
d. What is the biggest difference about creating a sampling distribution for standard deviation compared to a sampling distribution for the mean?
Jason collects information about annual family income from each student at his college. He computes both the mean and median family income across all students and is surprised to find that the mean income is much higher than the median income. What is the most likely reason for the difference in the mean and the median? Select one: a. The sample size is too small. b. The median tends to produce lower estimates of central tendency. c. The median is not an appropriate estimate for annual family income's level of measurement. Incorrect d. The mean is more affected by a small number of extreme values.
1. Consider a sample with data values of 2.20; 1.98; 1.95; 2.27; 2.25; 2,24; 2.31 Compute the mean.
a. The standard deviation of 25 scores is 10, the mean is 29, the median is 24 and the mode is 23. What is the coefficient of skewness? Describe the distribution. b. The following are scores of 8 students in Algebra: 89, 88, 77, 84, 83, 92, 91 and 96. Find the coefficient of skewness.
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C. An agricultural researcher wants to compare the mean numbers of pods between three plot types (Liberty, No Till and Chisel Plowed). For each plot type, he records 7 measurements of the number of pods. Liberty 37 31 36 35 43 37 38 No Till 34 30 38 27 40 42 39 Chisel Plowed 32 37 24 23 32 34 36 Using a 0.05 level of significance, test the hypothesis that the actual mean numbers of pods are equal across the three plot types.
3. Calculate the mean, median, mode, variance, and standard deviation for each of the following two groups of scores, which represent student performance on a health science test, with the highest possible score being 50. Group A 35 49 33 44 45 21 28 411 Group B 20 25 50 44 16 29 37 21 40 39 23 26 a. Which group has the greatest variability in scores? b. Which group has the highest mean score? c. How would you describe each group when comparing it to the other?
A primary measure of dispersion for sample data is the sample standard deviation, s. Choose the best option to explain what the meaning of the sample standard deviation is, in general. A. The distance between one observation and the mean. B. The average distance of an observation from the middle of the distribution. C. The average distance between observations in the sample. D. The distance between the third and first quartiles.

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