1. a) If then find the following probabilities. i) ii) 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 then find the following probabilities.
- i) ii)
- 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
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 |
Company 2 |
|
|
|
|
= 3.51 |
= 3.24 |
|
|
|
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 Customers |
327 |
402 |
351 |
380 |
Use Chi-squared test for goodness of fit test the hypothesis that the number of customers using each of the four gates are equal at .
Q5. Consider the data given below.
|
X |
25 |
32 |
45 |
23 |
20 |
|
Y |
43 |
38 |
33 |
25 |
26 |
- Find the Pearson
correlation coefficient
Find the regression line y = a + bx
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