An apple producer sells their product in bags that each contain 161616 apples. These apples have a mean weight of 808080 grams and a standard deviation of 555 grams. Suppose that each bag represents an SRS of apples, and we calculate the sample mean weight \bar x x ˉ x, with, \bar, on top of the apples in each bag.

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Answer:

Sample mean weight = 808080 grams

Step-by-step explanation:

The number of samples, n = 161616

The mean weight, [tex]\mu = 808080[/tex]

Standard deviation, [tex]\sigma = 555[/tex]

The sample mean weight, [tex]\mu_{\bar{x}}[/tex] = Mean weight, [tex]\mu[/tex]

Since [tex]\mu_{\bar{x}} = \mu[/tex]

Sample mean weight, [tex]\mu_{\bar{x}} = 808080[/tex]

The mean weight of the apple given the number of apples in each bag is 80 grams

How to calculate mean weight

Mean weight of the apple is the total weight of the apples divided by number of apples.

Given:

  • Number of apples in each bag = 16

  • Mean weight of apple = 80 grams

  • Standard deviation of apples = 5 grams

  • Number of bags of apples = x

Therefore, the sample mean weight of the apples is 80 grams

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