Course: Introduction to Statistics (Bus-172)Answer all the questions.Determine if the following statements are TRUE or FALSE. If False, write the CORRECTstatements:1. Two normal curves with same standard deviation but different means will havedifferent shapes but same location (Center).2. The sampling distribution of sample mean will be normal when a sample ofsize 45 is drawn from a normally distributed population.3. Errors in statistics that arise from false information provided by surveyrespondents is an example of a sampling error.

Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Answered: Answer all the questions. Determine if…

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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1. Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 40 38 36 28 20 16 14 11 10.7 9.3 2. Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find therange, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there anyoutliers, and are they likely to have much of an effect on the measures of variation? 39 45 45 60 65 90 90 135 175 206 250 325 400 2000 2750
Consider the following sample: 1, 4, 7, 2, 6. How does the standard deviation change when the 7 is replaced with a 12? Answer intuitively first, and then check your answers numerically.
4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the approximate standard deviation is:
.
Find the mean, median, mode, range, variance and standard deviation of the following sample data and then interpret the answer. Show the complete solution.
Consider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.
12. Stem and leaf Plot: (Sample )Variable: Gas $ Key: 12 = 1:2 1 : 2 2 : 3 : 4 : 5 : 55 6 : 7 : 88 8 : 9 12a. Use the above Stem and leaf plot and calculate the range. 12b. Use the above Stem and leaf plot and calculate the Quadratic Mean. 12c. Calculate the upper fence. 12d. Estimate the standard deviation.
Suppose that the average number of sick days that a person at the company takes per year is 3.2 with a standard deviation of .75. You select a sample of 125 employees. a. Is the sampling distribution for the mean of the sick days for 125 employees normally distributed? Explain how you know in complete sentences and be specific. b. What is the mean and standard deviation for the sampling distribution for the mean of 125 employees sick days? Show your work and calculations. c. Suppose that a group of 125 employees has a mean of 3.7 days. What is the probability that a group of 125 employees would take more sick days than them? You should use technology to find this value and write the probability notation. d. Suppose that a group of 35 employees has a mean of 3.5 days. Would that group have taken an unusual number of sick days?
3. A number or a summarized measure that describes the characteristic of a sample is called statistic. a. b. parameter. váriation. C. d. central tendency.
Which of the following five statistics are commonly used together to determine the shape of a distribution? Five answers correct. All or nothing credit. 1. The minimum 2. Variance 3. The 2nd quartile 4. The maximum 5. Coefficient of variation 6. Interquartile range 7. The 1st quartile 8. The 3rd quartile 9. Range 10. Standard deviation
9. If we take samples of size 110 from a population with proportion 0.39, comment on whether the sampling distribution follows a normal distribution. Explain.
Calculate the variance and standard deviation for the following sample set of data. (Do not round intermediate calculations. Round your final answers to the nearest tenth.) 33, 35, 41, 27, 21, 63, 43, 40, 46, 47, 36, 24

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