It has been reported that calcium intake in people of 60 years or older is Norma

Question

It has been reported that calcium intake in people of 60 years or older is Normally distributed. The population mean is said to be 942 mg. We have taken a random sample of 24 people who are 60 years old or older from Kansas, measured their calcium intake, and found their mean intake to be 981 mg and standard deviation 210 mg. We want to determine if our sample from Kansas has a significantly different mean calcium intake than the general population. If our Confidence Interval is [890, 1070], what is the conclusion?

a.) We accept the null hypothesis that the mean calcium intake is equal to 981 mg.

b.) There is insufficient evidence to reject the null hypothesis that Kansas sample came from the population where the mean calcium intake is 942 mg.

c.) We accept the alternative hypothesis that the mean calcium intake is less than 981 mg.

d.) The proportion of Kansans with insufficient calcium intake is significantly different than the hypothesized proportion.

e.) There is sufficient evidence to reject the null hypothesis and suggesting our Kansas sample did not come from the population where the mean calcium intake is 942 mg.

and please explain why, thank you!

Explanation / Answer

cause our confidence interval does contain 942 as probable value for true mean. hence we can not reject null hypothesis.

b.) There is insufficient evidence to reject the null hypothesis that Kansas sample came from the population where the mean calcium intake is 942 mg.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.