You decide to test the hypothesis that average calorie content in drinks sold at

Question

You decide to test the hypothesis that average calorie content in drinks sold at McDonalds is higher than the average calorie content of drinks sold at Starbucks. You randomly sample 12 drinks from the menus of each chain and record their calorie content. Before you run your t-test, you set the confidence level for your experiment at 95%. Here are your raw data (calories per 12 oz serving): Starbucks: 5, 110, 150, 140, 330, 200, 280, 60, 290, 140, 130, 90 McDonald's: 0, 520, 210, 105, 320, 0, 60, 220, 440, 160, 160, 360 The mean calorie content per 12 oz drink in each of these samples is: Starbucks 160 calories McDonalds 213 calories and the P value from a t-test comparing these two samples is: 0.18 Based on these results, is your hypothesis supported? Can you reject the null hypothesis that there is no significant difference in calorie content between these two samples? Yes, the hypothesis that McDonalds drinks have a significantly higher calorie content than Starbucks drinks is supported by these results No, the hypothesis is not supported by these results

Explanation / Answer

Solution:-

The first step is to state the null and the alternate hypothesis,

Null hypothesis, 1 < 2

Alternate hypothesis, 1 > 2

Where, 1 is mean for McDonalds

and 2 is mean for Starbucks.

In the question the given level of significance is 0.05.

And the given calculated p-value is 0.18.

As we can see that the P-value is greater than the significance level (0.05). Thus, we cannot reject the null hypothesis.

Thus, we fail to reject the null hypothesis

Conclusion - No, the hypothesis is not supported by these results.

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