Assume that the true value, that is the population mean, the average height of french women in france is 167.5 cm. How many students can be expected to calculate a confidence interval that does not include the number 167.5?

UkusakazaL

UkusakazaL

Answered question

2021-08-08

Assume that the true value, that is the population mean, the average height of french women in france is 167.5 cm. Students in a class of 160 students each took a random sample of french women of size 100, measured the height of the women and calculated a 95% confidence interval (confidence interval) for the average height.How many students can be expected to calculate a confidence interval that does not include the number 167.5?
15 8 5 20 1

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

Step 1
A confidence interval gives a range of plausible values where the true parameter lies.
Step 2
A 95% confidence interval indicates that the value of the parameter lies in that interval with a probability 0.05, that is in 5% times the true parameter will fall in that confidence interval when many confidence intervals are constructed.
Here it is given that the true parameter is 167.5 and 160 confidence intervals has been constructed. So by theory, 5% of the time the confidence interval does not contain the parameter that is 167.5.
That is 5% of 160, 5100160=8
That is 8 students (option 2) are expected to calculate a confidence interval that does not contain the value 167.5

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?