Question

At the Fisher farm, the weights of zucchini squash are Normally distributed, with a mean of 5 ounces and a standard deviation of 0.7 ounces. Which weight represents the top 10% of the zucchinis?

A) 4.1
B) 4.3
C) 5.7
D) 5.9

Answer 1

it's D: 5.9 ounces on Edge

Explanation:

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Answer 2

D) 5.9

Explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

We are to find:

Weight represents the top 10% of the zucchinis

Top 10% = 90th percentile

Z score for 90th percentile = 1.282

Hence

1.282 = x - 5 / 0.7

1.282 × 0.7 = x - 5

0.8974 = x - 5

x = 5 + 0.8974

x = 5.8974

Approximately = 5.9 ounces

The weight that represents the top 10% of the zucchinis is 5.9 ounces