Question

Timelimit: 60 minutes. [x) Show Intro/Instructions The average number of calories from a fast food meal for adults in the US is 841 calories. A nutritionist believes that the average is higher than reported. They sample 11 meals that adults ordered and measured the calories for each meal are shown below. Test the claim using a 10% level of significance. Assume that fast food calories are normally distributed. Give answer to at least 4 decimal places. Calories 859 858 786 852 951 860 853 792 858 854 956 What are the correct hypotheses? Ho Select an answer Select an answer calories Hy: Select an answer Select an answecalories Based on the hypotheses, find the following: Test Statistic- p-value- The correet decision is to Select an answer g that the average number of calories from The correct summary would be: Select an answe a fast food meal for adults in the US is higher than 841 calories Submit

Answer 1

Here from data we have n= 11, $\overline{x}$ = 861.73, s = 52.652, $\alpha$ = 0.10

Claim : The average number of calories from a fast food metal for adults in the US is higher than 841 calories.

The hypothesis are:

H0 : $\mu$ = 841 v/s H1: 841

μ>

We assume that fast food calories are normally distributed.  

The test statistic is,

$z=\frac{\overline{x}-\mu }{\sigma /\sqrt{n}}$

  

861.73-841 52.652/V11

= 1.31

p value =p ( z > 1.31 )

= 1 - p ( z $\leq$ 1.31 )

= 1 - 0.9049 -----------( using excel formula " =norm.s.dist(1.31,1) " )

= 0.0951  

Here p value < $\alpha$ (0.10) . Hence we reject null hypothesis.

Conclusion :

There sufficient evidence to support the claim that the average number of calories from a fast food meal for adults in the US is higher than 841 calories.