In a sample of 115 115 curtains, the average length was found to be 32.2in. 32.2 ⁢ in. With a standard deviation of 0.8 0.8 . Give a point estimate for the population standard deviation of the length of the curtains. Round your answer to two decimal places, if necessary.

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The point estimate for the population standard deviation of the length of the curtains is . So

The point estimate for the population standard deviation of the length of the curtains is 8.58in.

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step-by-step explanation: