Question 1 What are the three characteristics of a z-score distribution that are

Question

Question 1

What are the three characteristics of a z-score distribution that are always predictable?

Question 1 options:

a. The z score at the very high end, the z score in the middle, the score at the very low end

b. The normality of the distribution, the standard t value, the lack of skewness of the distribution

c. Mean, standard deviation and shape of the distribution

d. There are no characteristics that are always predictable, all z score distributions are different from one another

Question 2

The mean for a z score distribution will

Question 2 options:

a. always be one because one is right in the middle of the distribution of z scores

b. always be zero because z scores are calculated by subtracting the score from the mean and so if you are subtracting the mean from the mean then you end up with zero

c. always be zero because the standard deviation at the point of the mean is always zero and so when you divide everything by zero then the entire score becomes zero

d. be different for every distribution depending on the scores present

Question 3

Sara has 40 toys including 10 dolls, 4 cars, and 26 stuffed animals. If someone were to take a random toy from her room what is the probability that person would take a doll? 10 out of 40

Your answer should be a decimal rounded to two decimal places

Question 4

Question 4 options:

Dr. Rodriguez completed a study in which she asked people how many hours they worked out each week at the gym. She found that 6 people worked out for 3 hours, 4 people worked out for 5 hours, 2 people worked out for 6 hours and 1 person worked out for 7 hours. If she took a random person out of this pool of people, what are the chances that person would workout for more than 5 hours?

Your answer should be a decimal rounded to two decimal places

Question 5

Question 5 options:

Shondra has five different kinds of popsicles. She has 3 orange ones, 2 red ones, 1 green one, 5 purple ones and 2 white ones. If she were to randomly select one of them, what are the chances that she would select a green one?

Your answer should be a decimal rounded to two decimal places

a. The z score at the very high end, the z score in the middle, the score at the very low end

b. The normality of the distribution, the standard t value, the lack of skewness of the distribution

c. Mean, standard deviation and shape of the distribution

d. There are no characteristics that are always predictable, all z score distributions are different from one another

Explanation / Answer

1) option C c. Mean, standard deviation and shape of the distribution

2) b. always be zero because z scores are calculated by subtracting the score from the mean and so if you are subtracting the mean from the mean then you end up with zero

3)

probability =10/40 =0.25

4)

chances that person would workout for more than 5 hours =3/13 =0.23 (as 3 people out of 13)

5)

chances that she would select a green =0.08

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