Question 2: Studies indicate that small businesses (20-40 employees) in the U.S. spend anaverage of $30,000 a year on marketing. Assume the standard deviation is $6200 and thedistribution is approximately symmetric and mound-shaped.a) Identify the variable.b) Identify the experimental unit.c) What percentage of small businesses spend less than $17,600 on marketing?d) What percentage of small businesses spend between $36,200 and $48,600 on marketing?e) What is the minimum amount of money spent on marketing by the top 2.5% of smallbusinesses?f) Suppose a small business spends $15,000 on marketing. Would this be an unlikelyobservation? An outlier? Or neither? Use an appropriate numerical measure to support yourdecision.F21 STAT 008 v1 AFlores

Answered: Question 2: Studies indicate that small…

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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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?
Suppose you are asked to toss a coin 16 times and calculate the proportion of the tosses that were heads. a. What shape would you expect this histogram to be and why? b. Where you do expect the histogram to be centered? c. How much variability would you expect among these proportions? d. Explain why a Normal model should not be used here.
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.7, 1.8, 1, 0.6, 3, 0.9, 0.9, 1, 3.2, 1.5, 0.1, 0.1, 3.2 What can be concluded at the αα = 0.10 level of significance? The test statistic = ___________ (please show your answer to 3 decimal places.) The p-value = ____________ (Please show your answer to 4 decimal places.)
Given the following dataset of the price of a gallon of gas: $2.85; $3.06; and $2.99. Calculate the sample variance. The sample variance, rounded off as instructed, is:
Need help with this one in part D.
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
Solve the attached problem
Question 3 Which of the following describes the numerical center and average of a data set? A. Standard Deviation B. Median C. Mode D. Variance E. Mean
Question 3 The number of hours worked per week for a sample of ten students is shown below. Student Hours 1 39 28 10 16 26 34 38 9. 4 10 32 1. Determine the mean, median, and mode. 2. What is the range of the data for the hours worked? 3. What is the standard deviation for the number of hours worked? 2. 3. 4, 7, 8.
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < ≠ = > H1:H1: ? p μ Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to…
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 2.1, 3.4, 1.9, 3, 2.5, 2.6, 0.2, 3.4, 1.2, 1.7, 3, 1, 0.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance? A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…

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