Answer :
Weight represents the top 10% of the zucchinis is 5.9
The formula for calculating a z-score is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
We're looking for:
Weight is 10% of zucchinis at the top.
Top 10% = 90% of the population
90th percentile Z score is 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
5.9 ounces, roughly.
The top 10% of the zucchinis have a weight of 5.9 ounces.
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