18. If rS = .25, n = 25, set up an inferential proof with the 7...

18. If rS = .25, n = 25, set up an inferential proof with the 7 steps to test the significance of the correlation. (4 points)

Solutions

Expert Solution

H0 : The significant correlation does not exists between X and Y OR ρ = 0

Ha : The significant correlation exists between X and Y OR ρ ≠ 0

Test statistic : Given r = 0.25 , n = 25

t =

t = 1.238

So | t | = 1.238

Critical value : We assume α = 0.05, and we have n = 25

degrees of freedom (d.f) = n-2 = 23

Using t distribution table , for α ( two tail ) =0.05 and d.f =23

Critical value = 2.069

Rejection region : Reject H0 if | t | ≥ 2.069

Decision rule : As | t | is less than critical value , we fail to reject H0

Conclusion : There is no significant correlation exists between the X and Y

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Quantitative Problems 2 through 7 refer to the following 20-point data set. {7, 12, 18, 25,...

Quantitative Problems 2 through 7 refer to the following 20-point data set. {7, 12, 18, 25, 1, 13, 25, 9, 6, 9, 2, 14, 24, 13, 14, 11, 6, 8, 27, 19} 2. Construct a histogram using an interval width of 5. 3. Using the data, calculate the mean, mode, median, and midrange 4. Using the histogram, describe the shape of the distribution. 5. What percentage of the data are greater than the mean? 6. Using the data, calculate the...

7. Let n ∈ N with n > 1 and let P be the set of...

7. Let n ∈ N with n > 1 and let P be the set of polynomials with coefficients in R. (a) We define a relation, T, on P as follows: Let f, g ∈ P. Then we say f T g if f −g = c for some c ∈ R. Show that T is an equivalence relation on P. (b) Let R be the set of equivalence classes of P and let F : R → P be...

Consider the following data set: {4, 7, 11, 12, 18, 19, 20, 22, 23, 25} Answer...

Consider the following data set: {4, 7, 11, 12, 18, 19, 20, 22, 23, 25} Answer the following questions. If necessary, round your answers to four decimal places. (a) Find the sample median of the data set. (b) How much can you increase the smallest value from the data set without getting the value of the sample median changed? (Enter NA if there is no limit to the amount.) (c) How much can you decrease the largest value from the...

Women (ages 18 to 25) heights Data Collection &n

Women (ages 18 to 25) heights Data Collection Height (ft.) 1 5.0 2 5.4 3 5.4 4 5.5 5 4.11 6 5.8 7 5.1 8 5.3 9 5.4 10 5.5 11 5.7 12 5.8 13 5.10 14 5.7 15 6.3 13) Plot the third bell curve below: 14) What is the data value associated with a z-score of 0.5? _________________________ 15) What is the data value associated with a z-score of -2.4? _________________________ 16) What is the variance of this...

1. Must be nicely written up AS A PROOF. a. Show that gcd(m + n, m)...

1. Must be nicely written up AS A PROOF. a. Show that gcd(m + n, m) = gcd(m, n). b. If n | k(n + 1), show that n | k. c. Show that any two consecutive odd integers are relatively prime.

Write up a full proof of the fact that every k-dimensional subspace of R^n is the...

Write up a full proof of the fact that every k-dimensional subspace of R^n is the intersection of (n-k) hyperplanes. Tip: If you don't know how to start, begin by summarizing your answers to the previous problems on this lab.

18. The following is the Trial Balance of Ruby Ltd. Credits Rs. Debits Rs. Capital 10,000...

18. The following is the Trial Balance of Ruby Ltd. Credits Rs. Debits Rs. Capital 10,000 shares of 10 each 1,00,000 Calls-in-arrears 6,400 Bad debts provision 2,400 Land 10,000 Sales 85,000 Building 25,000 Discount 750 Plant 15,000 Purchase Returns 3,400 Furniture 3,200 Creditors 13,200 Carriage inwards 2,300 Securities premium 6,000 Wages 21,400 General Reserve 24,000 Salaries 4,600 Sales Returns 2,700 Bank Charges 1,300 Discount 550 Coal, gas and water 700 Rates and Taxes 800 Purchases 50,000 Bills Receivable 1,200 Printing...

The following set of data is from a sample of n= 7: 12 7 4 9...

The following set of data is from a sample of n= 7: 12 7 4 9 0 7 20 A) compute the mean, median, and mode. B) compute the range, variance, standard deviation, and coefficient of variation C) compute the Z score of 0 and 20. Are there any outliers? D) compute the first quartile, the third quartile, and the interquartile range

For the following data set [ 1, 4, 3, 6, 2, 7, 18, 3, 7, 2,...

For the following data set [ 1, 4, 3, 6, 2, 7, 18, 3, 7, 2, 4, 3, 5, 3, 7] please compute the following 1. measures of central tendency (3 points) 2. standard deviation ( 5 points) 3. is 18 an outlier? (5 points) 4. describe the shape of the distribution (2 points)

Share capital of a company consists of Rs. 60,00,000 - 7% Preference share capital Rs. 80,00,000-...

Share capital of a company consists of Rs. 60,00,000 - 7% Preference share capital Rs. 80,00,000- Equity share capital For the year ended March 31, 2018 the Board of directors recommend a dividend of 15% on equity share capital Profits after tax for 2017-18 are Rs. 50,00,000 Dividend Distribution Tax rate- 20% inclusive of surcharge and cess Calculate total dividend payable by the company on Preference and Equity share capital and Dividend Distribution Tax payable.

Subjects