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
