Question

Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approximately how many observations are more than 116

Answer 1

Answer:  there are 22 observations that are more than 116.

Step-by-step explanation:

Let x be the random variable.

Given: Sample size = 950

Mean = 78

Standard deviation = 19

The probability that the observations are more than 116 is given by :-

$P(X>116)=P(\dfrac{X-mean}{standard \ deviation}>\dfrac{116-78}{19})\\\\=P(Z>2)\\\\=1-P(Z$

Number of observations are more than 116 = $0.0228\times950$

$=21.66\approx22$

Hence, there are 22 observations that are more than 116.