A shipment of beach balls with a mean diameter of 28 cm and a standard deviation of 1.3 cm is normally distributed. By how many

Question

3 years ago

12

standard deviations does a beach ball with a diameter of 31.9 cm differ from the mean?
A.) 1
B.) 1.3
C.) 2
D.) 3

2 answers:

uranmaximum [27] · Answer 1 · 2022-08-26T08:29:09+03:00

7 0

Answer: 1

Step-by-step explanation: I took the test. 3 was wrong.

dlinn [17] · Answer 2 · 2022-08-26T06:26:50+03:00

dlinn [17]3 years ago

5 0

Answer: D.) 3

Step-by-step explanation:

Given: Mean diameter: $\mu=28\ cm$

Standard deviation: $\sigma=1.3\ cm$

The required number of standard deviations is given by :-

$z=\frac{X-\mu}{\sigma}\\\\\Rightarrow\ z=\frac{31.9-28}{1.3}\\\\\Rightarrow\ z==3$

Hence, a beach ball with a diameter of 31.9 cm is 3 standard deviations differ from the mean.