A researcher has a sample of 49 plants, and wants to describe the average plant height. The expected value of the plant heights is 8.2, with a standard deviation of 7 inches. What is the probability that the sample average height is greater than 9.2? O .5 .8414 .1586 (answer) O .0521
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Obtain the probability that the sample average height is greater than 9.2.
The probability that the sample average height is greater than 9.2 is obtained below as follows:
Since, the sample is greater than 30, it is clear that the sampling distribution of the sample is approximately normally distributed.
Mean of sampling distribution of the sample mean is
Thus, the mean of sampling distribution of the sample mean is 8.2.
Obtain the standard deviation of the sampling distribution of the sample mean.
The Standard deviation of sampling distribution of the sample mean is given below:
The Standard deviation of sampling distribution of the sample mean is 1
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