A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range for the population mean?

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, .

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

Given:

n = 150

= 0.68

The critical value of z for 95% confidence level is:

Compute the 95% confidence interval for proportion as follows:

Thus, the reasonable range for the population mean is (61%, 75%).

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step-by-step explanation: