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LenaWriter [7]
3 years ago
12

Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approxima

tely how many observations are more than 116
Mathematics
1 answer:
AysviL [449]3 years ago
4 0

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.

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