Question

data collected by child development scientists produced the following 90% confidence interval for the average age (in months) at which children say their first word: 10.4 < u < 13.8.

in this example, what does the phrase 90% confident mean?

a) there is a 90% chance that the sample mean is between 10.4 and 13.8 months.

b) if many samples are drawn, the computed confidence intervals will contain the population mean approximately 90% of the time.

c) there is 90% chance that the population mean is between 10.4 and 13.8 months.

d) if many samples are drawn, the population mean will be between 10.4 and 13.8 months approximately 90% of the time.

Answer 1

Here the given 90% confidence interval for the average are is lies between 10.4 and 13.8

generally confidence intervals gives the limits for the population mean

so, there is 90% chance that the population mean is between 10.4 and 13.8 months

So option (C) is correct