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...

Q1.a) If

then find
the following probabilities.

1. i) ii)


2. 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.

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.

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.

1. Find the Pearson correlation coefficient

Find the regression line y = a + bx