Question

A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks. A 90% confidence interval estimated the mean sodium content for this kind of hot dog at 317.2 to 326.8 mg. Given this, what would you tell the lab about whether the hot dogs satisfy the regulation.

Answer 1

Answer:

Step-by-step explanation:

Given that a nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks

90% confidence interval is

(317.2, 326.8)mg.

Using confidence intervals,we can check whether null hypothesis is true.

Here

$H_0: \bar x = 325\\H_a: \bar x$

(left tailed test at 10% significance level)

We check whether confidence interval 90% contains the mean value.

We find 325 belongs to the confidence interval

Hence  H0 is true

The hot dogs do not satisfy.