From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year, and the owner believes the...

From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year, and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. The mean weight of the sample is 144 grams with a standard deviation of 13.2 grams. A significance test at an alpha level of produces aP-value of 0.054. What is the correct interpretation of theP-value?

There is a 5.4% chance that the null hypothesis is incorrect if the true mean weight is 140 grams.

There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams.

There is a 5.4% probability that a sample mean of 144 grams will occur by chance alone if the true mean weight is 140 grams.

Assuming the true mean weight of the apples is 140 grams, there is a 94.6% probability that a random sample of apples will produce a mean weight of 140 grams.

Jun 01, 2022

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From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year, and the owner believes the...

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