The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat. A random sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Is there evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips? We have verified the independence, sample size, and skew conditions are satisfied.

Respuesta :

Answer:

There is evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips at 5% level of significance.

Step-by-step explanation:

Given that the nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat.

Sample size of 35 gave mean as 134 with s = sample std dev = 17

[tex]H_0: \bar x= 130\\H_a: \bar x \neq 130[/tex]

(two tailed test)

Mean difference = [tex]134-130 = 4[/tex]

Std error of sample mean = [tex]\frac{s}{\sqrt{n} } \\=2.874[/tex]

Since only sample std deviation is known, we use t test

df =34

t = mean diff/std error = 1.392

=0.1729

Let us fix significance level as 5%

since p <0.05 we reject null hypothesis

There is evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips