Question

17:- Many people believe that they can tell the difference between Coke and Pepsi. Other people say that the two brands can't be distinguished. To test this, a random sample of 20 adults was selected to participate in a test. After being blindfolded, each person was given a small taste of either Coke or Pepsi and asked to Indicate which brand soft drink it was. If people really can't tell the difference, the expected number of correct identifications in the sample would be:

A:- 10

B:- 0.

C:- between 4 and 9.

D:- Can't be determined without more information.

20:- Many people believe that they can tell the difference between Coke and Pepsi. Other people say that the two brands can't be distinguished. To test this, a random sample of 20 adults was selected to participate in a test. After being blindfolded, each person was given a small taste of either Coke or Pepsi and asked to indicate which brand soft drink it was. If people really can't tell the difference, the probability that fewer than 6 people will guess correctly is:

a:- 0.0148

b:- approximately

c:- 0.0307

d:- 0.0514

Answer 1

17.

P[ one will guess correctly ] = p = 0.5 ( since there are only two option )

Sample size = n = 20

Expected number of people guess correctly = np = 0.5*20 = 10

A: 10

20.

This is binomial problem

The population proportion of success is p = 0.5, also, 1 - p = 1 - 0.5 = 0.5 , and the sample size is n= 20 We need to compute

This implies that