- State whether the following statements are True or False. 1. A fair coin is to

Question

- State whether the following statements are True or False.

1. A fair coin is tossed 6 times. The probability of it lands tails up exactly 3 times is 10× (1/2)^4 .

2. A frequency distribution groups data into classes showing the number of observations in each class.

3. If probability sampling is done, each item in the population has a chance of being chosen.

4. A critical value is a Z-score separating unlikely value from those that are likely to occur.

5. A point estimate is a single value or point used to approximate a population parameter.

6. The number of women taller than 68 inches in a random sample of 5women is an example of continuous random variable.

-(Multiple Choice Questions)                                

1. A standard normal distribution has the mean equal-----and variance=------:

a. 0,1

b. 1,0

c. Either a or b.

d. None .

2. 10% of college students are left-handed. For a statistics class of 35 students, find the mean number of left-handed students.

a. 3.5

b. 3.15

c. 1.77

d. None of the above

3. If the sampling error (E) is allowed to increase, which of the following istrue regarding the sample size?

a. The sample size will increase.

b. The sample size will decrease

c. The sample size will stay the same

d. The sample size cannot be determined

a. n

b. 2

c.10

d. n-1

If the z – score of normal distribution is 1.7, the mean of the distribution is 25 and the standard deviation of normal distribution is 3 then the value of X for a normal distribution is

a. 0

b. 47.5

c. 52.5

d. 30.1

Explanation / Answer

Given,

Z- score = 1.7

Mean = 25

Standard deviation = 3

So,   

Z = ( X - Mean) / standard deviation

So, X = Z * standard deviation + Mean

= 1.7 * 3 + 25

= 5.1 + 25

= 30.1

So,   Answer (d) 30.1

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