Question

The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter bottles, which were checked for calories, containsa mean of 255 calories with a standard deviation of 5.6 calories. Assume that the calorie count has a normaldistribution. Does the sample information indicate that a 2-liter bottle of Pepsi contains more than 250 calories

Answer 1

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories

Step-by-step explanation:

Null Hypothesis [H0] : u < 250

Alternate Hypothesis [H1] : u > 250 {One Tail}

t = (x' - u) / [ sd / √n ]

= (255 - 250) / (5.6 / √20)

5 / (5.6 /√20)

= 3.99

As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.