Question

The mesn weight of womens between 30 and 40 years old is of 53 kg. A study made on 16 women of these ages that follows a vegetarian diet had a weight of X=50 and a SE=5. ¿Do the diet modify the mean weight?

Answer 1

Solution:-

the mean weight of women between 30 and 40 years old is 5 kg. let mu denote the population mean mu = 53. A study made on 16 women has mean weight 50 and standard deviation 5. Let X denote the mean, S denote the sample standard deviation and m denote the sample size.

We have to check whether the diet modify mean weight, the null hypothesis and the alternative hypothesis

Test statistic is given by

degrees of freedom

This value is obtained using calculator.

Since p value is less than reject the null hypothesis and calculate that the diet modify the mean.