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Q1. a) If X~N(25, 16), then find the following probabilities. i) P(X > 31) ii) P(16 < X < 34) b) Obtain 95% confidence interval for the population mean if the sample of size 49 gave mean 48 and the standard deviation 2.6

Q1. a) If X~N(25, 16), then find the following probabilities. i) P(X > 31) ii) P(16 < X < 34) b) Obtain 95% confidence interval for the population mean if the sample of size 49 gave mean 48 and the standard deviation 2.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Q1. a) If X~N(25, 16), then find the following probabilities. i) P(X > 31) ii) P(16 < X < 34) b) Obtain 95% confidence interval for the population mean if the sample of size 49 gave mean 48 and the standard deviation 2.6 Q2. There is a claim that the average height of the students in a university is 155cm. A researcher thought that it is less than 155cm. For this he selected a random sample of 50 students at that university and found that the sample gave mean height 152cm with standard deviation 5 cm. If you are that researcher, give your conclusion about the claim at a = 0.05? Q3. To compare customer satisfaction levels of two competing companies, 174 customers of company 1 and 355 customers of company 2 were randomly selected and were asked to rate the companies as a five-point scale. The survey results are summarized in the following table. Company 1 n1 = 174 Company 2 X1= 3.51 S1 = 0.51 n2 = 355 Xz= 3.24 S2 = 0.52 Test the hypothesis that the customer satisfaction about these two companies is same at the level of significance 0.05. Q4. Entry and exit for a hypermarket are via one of four gates. The number of customers entering and leaving the hypermarket is counted at each gate for a week time is given in the following table. Gate Gate 1 Gate 2 Gate 3 Gate 4 Number of 327 402 351 380 Customers customers using each Use Chi-squared test for goodness of fit test the hypothesis that the number of of the four gates are equal at a = 0.05. Q5. Consider the data given below. X 25 32 45 23 20 Y 43 38 33 25 26 a) Find the Pearson correlation coefficient b) Find the regression line y = a + bx
Transcribed Image Text:Q1. a) If X~N(25, 16), then find the following probabilities. i) P(X > 31) ii) P(16 < X < 34) b) Obtain 95% confidence interval for the population mean if the sample of size 49 gave mean 48 and the standard deviation 2.6 Q2. There is a claim that the average height of the students in a university is 155cm. A researcher thought that it is less than 155cm. For this he selected a random sample of 50 students at that university and found that the sample gave mean height 152cm with standard deviation 5 cm. If you are that researcher, give your conclusion about the claim at a = 0.05? Q3. To compare customer satisfaction levels of two competing companies, 174 customers of company 1 and 355 customers of company 2 were randomly selected and were asked to rate the companies as a five-point scale. The survey results are summarized in the following table. Company 1 n1 = 174 Company 2 X1= 3.51 S1 = 0.51 n2 = 355 Xz= 3.24 S2 = 0.52 Test the hypothesis that the customer satisfaction about these two companies is same at the level of significance 0.05. Q4. Entry and exit for a hypermarket are via one of four gates. The number of customers entering and leaving the hypermarket is counted at each gate for a week time is given in the following table. Gate Gate 1 Gate 2 Gate 3 Gate 4 Number of 327 402 351 380 Customers customers using each Use Chi-squared test for goodness of fit test the hypothesis that the number of of the four gates are equal at a = 0.05. Q5. Consider the data given below. X 25 32 45 23 20 Y 43 38 33 25 26 a) Find the Pearson correlation coefficient b) Find the regression line y = a + bx
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