Question

Which mean, standard deviation, and x-value set corresponds to a z-score of -2?

a.) x-value = 35 mean = 21 standard deviation = 7

b.) x-value = 80 mean = 90 standard deviation = 10

c.) x-value = 50 mean = 60 standard deviation = 5

d.) x-value = 89 mean = 80 standard deviation = 9

Answer 1

Answer:

Given that,

Which mean, standard deviation, and x-value set corresponds to a z-score of -2:

(a).

x-value = 35 mean = 21 standard deviation = 7:

We know that to find Z-score,

=P(Z < 2)

(b).

x-value = 80 mean = 90 standard deviation = 10:

We know that to find Z-score,

=P(Z < -1)

(c).

x-value = 50 mean = 60 standard deviation = 5:

We know that to find Z-score,

=P(Z < -2)

(d).

x-value = 89 mean = 80 standard deviation = 9:

We know that to find Z-score,

=P(Z < 1)

Answer: Option (c)

Therefore, x-value = 50 mean = 60 standard deviation = 5 set corresponds to a z-score of -2.