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german
2 years ago
11

The weights of baskets of strawberries are normally distributed with a mean of 3.8 ounces and a standard deviation of 1.1 ounces

. One grocery store advertises that the weight of their strawberries is in the 97.5th percentile. How many ounces do their strawberries weigh?
A 3.8 ounces
B 4.9 ounces
C 6 ounces
D 7.1 ounces
Mathematics
1 answer:
Crazy boy [7]2 years ago
7 0

Answer:

6 ounces

Step-by-step explanation:

this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so

1.96=(x-3.8)/1.1

multiply both sides by 1.1 and then add 3.8

you can also use scientific calculator.

second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1

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an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor
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Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

--------------------------------

We suppose that tree diameters are normally distributed with <u>mean 8.8 inches and standard deviation 2.8 inches.</u>

<u />

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • The Z-score measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.<u> </u>

<u />

In this problem:

  • Mean of 8.8 inches, thus \mu = 8.8.
  • Standard deviation of 2.8 inches, thus \sigma = 2.8.

<u />

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

<u />

25th percentile:

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Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 8.8}{2.8}

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75th percentile:

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IQR = 10.69 - 6.91 = 3.78

What is the diameter, in inches, of the smallest tree that is an outlier?

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10.69 + 1.5(3.78) = 16.36

The diameter of the smallest tree that is an outlier is of 16.36 inches.

<u />

A similar problem is given at brainly.com/question/15683591

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Step-by-step explanation:

Hello!

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