Assuming normality, construct the requested confidence interval. A sociologist is interested in the age at which a mother has her first child. A random sample of 20 recent births yielded an average maternal age to be 30 years with a standard deviation of 6.2 years.

Construct a 99% confidence interval for the mean age at which a mother has her first child.

Can I have some help with solving this problem with a TI84 calculator?

The appropriate response is "(26.03, 33.97)".

Step-by-step explanation:

The given values are:

Average maternal age,

Standard deviation,

s = 6.2

Random sample,

n = 20

Now,

The degree of freedom will be:

⇒

"t" at confidence level 99%, will be:

⇒

⇒

⇒

By using the student table, we get

The margin of error will be:

⇒

On substituting the estimated values, we get

⇒    

⇒    

At 99%, the confidence level will be:

⇒

⇒

⇒

Thus the above is the correct approach.

answer

step-by-step explanation: