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atroni [7]
2 years ago
7

Suppose the length of an oarfish is normally distributed with a mean of 6.5 m and a standard deviation of 1.5 m. which group des

cribes 16% of the oarfish population? select each correct answer.
SAT
1 answer:
Gnoma [55]2 years ago
8 0

Answer:

Explanation:
oarfish that are shorter than 5 m

Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99

This indicates that the sample mean is lower than the population mean

Therefore,

- 0.99 = (x - 6.5)/1.5

- 0.99 × 1.5 = x - 6.5

- 1.5 = x - 6.5

x = - 1.5 + 6.5

x = 5m

The correct answer is

oarfish that are shorter than 5 m

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