2. The following table gives the recorded grades for 10 students on a midterm test and the finalexamination in a statistics course.StudentMidterm TestFinal Examination18473298639187726686789378809110109288108777a.Calculate the rank correlation coefficient.b. Test the hypothesis @.05 level of significance.3₂567819

Use the Excel and Calculate the Correlation Followings are the Steps to Calculate Correlation 1)…

Answered: a. Calculate the rank correlation…

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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For a sample of n = 20 individuals, what correlation coefficient is necessary to be statistically significant at α =.05?
For a random sample of 53 building supply stores in a chain, the correlation between annual sales per square meter of floor space and annual rent per square meter of floor space was found to be 0.37. Test the null hypothesis that these two quantities are uncorrelated in the population against the alternative that the popula- tion correlation is positive.
7. What is the critical value for the linear correlation coefficient r for a sample of size n =15 with α = .01?
The marketing head of a leading chocolate manufacturer must decide amongfour different wrapper styles for the chocolate. To provide a database for the decision, he hasthe chocolate placed in the different wrappers and distributes them to five supermarkets. At the end of 2 weeks, he finds that the following amounts of chocolate were sold: Wrapper A Wrapper B Wrapper C Wrapper D 90 98 130 82 compute the Pearson correlation coefficient (Chi Square Test)
The following table shows the scores of 15 students in mid-term test and final examination of a Mathematics course in an academic year: 12.8 60.5 13.6 54.5 13 55.5 12.2 59.5 8 66.5 15.8 52.5 7.6 76 9.4 61.5 13.6 56.5 11.4 60 10.6 56 11.6 61.5 16.4 47 14 56 12.8 58 13.8 51 Calculate the correlation coefficient for the sample. Explain the results At the 5% significant level, test whether students’ performances in mid-term test and final examination are correlated.
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.157, 0.182, 0.206, 0.217, 0.218, 0.236, 0.238, 0.248, 0.257, 0.264,0.275, 0.284, 0.283, 0.303, 0.321, 0.340 Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed?
The National Safety Council released the following data on the incidence rates for fata or lost-worktime injuries per 100 employees for eight industries in three recent years. Compute the covariance between each pair of years (2018 and 2019), (2018 and 2020) and (2019 and 2020). Compute the coefficient of correlation (r) for each pair of years and determine which years are most highly correlated.
Following is the rating of marketing aggressivity (X) and sales performance (Y) of 8 sales staffs in Glovis Co in the past year: Table Attached Question: What is the hypothesis of the study?
Five observations taken for two variables follow. xi 4 5 12 4 13 yi 50 50 30 50 20 Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure)
Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.
Determine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=0.438, α=0.01 , n=9
2.4 Calculate the Pearson’s correlation coefficient for the above data

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a. Calculate the rank correlation coefficient. b. Test the hypothesis @.05 level of significance.