Homework Help is Here – Start Your Trial Now!
Math
Probability
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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS