E) The age distribution of a random sample of 150 of a bank's customers is shown beloW together with the percentage age distribution of the population as a whole: Age Number of customers population percentuge Under 30 45 30 and under 60 75 36 Over 60 30 20 You are asked to test the null hypothesis that the age distribution of the bank's customers and the nonulation age distribution are independent at 5% level of significance.

E) The age distribution of a random sample of 150 of a bank's customers is shown beloW together with the percentage age distribution of the population as a whole: Age Number of customers population percentuge Under 30 45 30 and under 60 75 36 Over 60 30 20 You are asked to test the null hypothesis that the age distribution of the bank's customers and the nonulation age distribution are independent at 5% level of significance.

Name: (c) The age distribution of a random sample of 150 of a bank's custom
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Description: (c) The age distribution of a random sample of 150 of a bank's customers is shown belowtogether with the percentage age distribution of the population as a whole:AgeNumber of customerspopulation percentugeUnder 304530 and under 607536Over 603020You

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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The community hospital is studying its distribution of patients. A random sample of 317 patients presently in the hospital gave the following information: Type of Patient Old rate of occurrences of the types of patients Present number of occurrences of these types of patients Maternity ward 20% 65 Cardiac ward 32% 100 Burn ward 10% 29 Children's ward 15% 48 All other wards 23% 75 Using a 5% level of significance, test the claim that the distribution of patients in these wards has not changed. Problem 1 (Test Statistic) A. χ2 = 0.036 B. χ2 = 315.36 C. χ2 = 0.355 D. χ2 = 1101.94 E. χ2 = 0.6322 Problem 2 (p-value, conclusion) A. p = 0.9965; RHo (Observed Values do not match Expectation) B. p = 0.9860; FRHo (Observed Values match Expectation) C. p = 0.9965; FRHo (Observed Values match Expectation) D. p = 0.9860; RHo (Observed Values do not match Expectation) E. p = 0.0035; RHo (Observed Values do not match Expectation)
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The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
The accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039 b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.) d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)
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3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
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The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…
Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.