4. Two research workers classified some people in income groups on the basis of sampling studies. Their results are as follows: Income groups Total Investigators Poor A Middle Rich 160 80 60 300 140 120 40 300 Total 300 200 100 600 Show that the sampling technique of at least one research worker is defective.

4. Two research workers classified some people in income groups on the basis of sampling studies. Their results are as follows: Income groups Total Investigators Poor A Middle Rich 160 80 60 300 140 120 40 300 Total 300 200 100 600 Show that the sampling technique of at least one research worker is defective.

Name: 4. Two research workers classified some people in income groups on th
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Description: 4. Two research workers classified some people in income groups on the basis of samplingstudies. Their results are as follows:Income groupsTotalInvestigators PoorAMiddleRich1608060300В14012040300Total300200100600Show that the sampling technique of a

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. In a study among Graduate Education students, forty-six (12 freshmen, 11 sophomores, 10 juniors, and 13 seniors) were asked to report their GPA to one decimal point. The researcher wanted to determine if there are significant differences on the GPA among the four groups of students. The following is the output of the statistical analysis. SUMMARY Groups Count Sum Average Variance 12 24.8 2.066667 0.300606 Sophomores 11 21.1 1.918182 0.209636 Juniors 10 20.3 2.03 0.133444 Seniors 13 25.9 1.992308 0.114103 Source of Variation S of MS P-value Between 0.136522 3 0.045507 0.239714 0.868148 Groups Within Groups 7.973261 42 0.18984 Total 8.109783 45 a.) What statistical tool is used? b.) State the null hypothesis c.) what group of students perform the most? The least?
10. A supermarket conducted a survey of 1000 consumers. Their population was "adults who shop for groceries." Use specific examples to explain how the following biases could have had the following effects: a. How could sampling bias have made it seem like adults eat more bread than in reality? b. How could non-response bias have made it seem like adults eat less fruit than in reality? c. How could response bias have made it seem like adults eat more vegetables than in reality? d. How could measurement bias have made it seem like adults drink more coffee than in reality?
8. Agri-Beef, Inc. is a large Midwestern farming operation. The company has been a leader in employing statistical techniques in its business. Recently, John Goldberg, operations manager, requested that a random sample of cattle be selected and that these cattle be fed a special diet. The cattle were weighed before the start of the new feeding program and at the end of the feeding program. John wished to estimate the average daily weight gain for cattle on the new feed program. Two hundred Forty cattle were tested, with the following sample results: X = 1.3 pounds gain per day and S= 0.60 pounds gain per day. a. Obtain a 92% confidence interval estimate for the true average daily weight gain. b. Provide a 98% confidence interval estimate for the true average daily weight gain. c. Discuss the difference between the two estimates found in parts a. and b., and indicate the advantages and disadvantages of each. d. John is considering adopting this new diet. However, the weight gain…
3). Two sample cases. A business major student is given a data set in Spread- sheet "Question 5": Sample 1 (x): 6.59 8.74 7.75 5.79 1.39 5.62 5.51 2.96 4.48 4.08 0.48 6.54 6.50 8.73 2.84 9.32 9.72 0.37 4.34 8.08 2.27 3.34 4.08 5.52 3.27 6.59 8.74 7.75 5.79 1.39 Sample 2 (y): 19.78 3.18 2.88 2.56 8.03 6.65 5.23 8.39 12.29 13.46 9.54 -0.36 1.62 3.54 -0.16 9.73 6.11 13.46 10.72 14.45 8.77 10.25 7.62 10.38 n=30, = x = 158.55, 21047.298, της 24, Συ= 188.11, Στ2 Σ Σ= = 2045.635. Assume that two populations are independent and normally distributed with means μ1, H2 and standard deviations 01, 02, respectively. (a) What is the point estimate of 1-2? What is the margin of error E associated with this estimate (use a = 0.05)? (b) Find 95% confidence interval for μ1 - 2. (c) Test Ho 1 μ2 = 0 vs H₁₁₂ <0 at a = 0.01.
A report provided the following information on the sex of smartphone users for representative samples of young people ages 15 to 24 in several different countries. Percent Female Percent Male United States 57% 43% Spain 41% 59% Italy 37% 63% India 19% 81% (a) Suppose the sample sizes were 1,000 for the United States and for India and 500 for Spain and Italy. Complete the following two-way table by entering the observed counts. Female Male United States Spain Italy India (b) Carry out a hypothesis test to determine if there is convincing evidence that the sex proportions are not the same for all four countries. Use a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology or SALT to calculate the P-value. (Round your answer to four decimal places.) P-value =
Eight students are selected randomly, and their present graduate GPA is compared to their undergraduate GPA and Scores on standardized tests. The data are shown below: Present 3.89 3.03 3.34 3.85 3.93 3.06 3.69 3.91 GPA Undergr 3.77 2.75 3.11 3.75 4 2.92 3.7 3.88 GPA Std. 700 460 550 690 720 420 670 670 Scores a. Write the regression equation, letting undergraduate GPA be x1 and standard scores be x2. X2. b. Is the model useful in calculating the present graduate GPA of a student? Use a = 0.05, State the null and alternative hypothesis. Provide the complete Regression Analysis.
Is there an association between party affiliation and gender? The accompanying data represent the gender and party affiliation of registered voters based on a random sample of 807 adults. . Question content area bottom Part 1 (a) Construct a frequency marginal distribution. Gender Political Party Female Male Frequency Marginal Distribution for Gender Republican 110 115 enter your response here Democrat 150 103 enter your response here Independent 150 179 enter your response here Frequency Marginal Distribution for Political Party enter your response here enter your response here enter your response here
A report provided the following information on gender of smartphone users for representative samples of young people age 15 to 24 in several different countries. Country Percent Female Percent Male United States 53% 47% Spain 38% 62% Italy 37% 63% India 19% 81% (a) Suppose the sample sizes were 1000 for the United States and for India and 500 for Spain and Italy. Complete the following two-way table by entering the observed counts. Country Female Male United States Spain Italy India (b) Carry out a hypothesis test to determine if there is convincing evidence that the gender proportions are not the same for all four countries. Use a significance level of 0.05. State the null and alternative hypotheses. H0: The gender proportions of smartphone users are not the same for all countries. Ha: The gender proportions of smartphone users are the same for all countries.H0: The gender proportions of smartphone users are the same for all…
Example 2 : The following data refer to the number of defectives in 10 samplesof 100 items each. Construct an appropriate control units. Sample No. No.of defectives 4 8 11 3 11 7 7 16 12 12 3 4| 5 6 7 8 9. 10 6.
] 1 5. A storeowner wishes to compare the average amount of money high school and college students spend on music downloads. He randomly selects 10 students from each of three different student populations: high school, undergraduate, and graduate. The statistical assumptions required to perform a one-way ANOVA to compare the means of these three groups are reasonable based on the data. A partially completed ANOVA table is provided below. Source Sum of Squares DF Mean Square F dfl I F df2 Groups Error Total SSG 3240 4450 (a) Calculate all incomplete parts in the table. MSG MSE (b) What is the value of the pooled standard deviation (estimate for σ)?
4. Two research workers classified some people in income groups on the basis of sampling studies. Their results are as follows: Income groups Rich Total Investigators Poor A Middle 160 80 60 300 B 140 120 40 300 Total 300 200 100 600 Show that the sampling technique of at least one research worker is defective.