In Exercises 7–10, state the null and alternative hypotheses a...

Question

In Exercises 7–10, state the null and alternative hypotheses and identify which represents the claim,

An energy bar maker claims that the mean number of grams of carbohydrates in one bar is less than 25.

Accepted Answer

Hello there. Today we're gonna solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. A nutritionist claims that the average sugar content in a serving of a new cereal is less than 15 g. State the null and alternative hypothesis and specify which hypothesis is the claim. Awesome. So it appears for this particular problem, we're asked to take the information that is provided to us by the problem itself. For this particular context, we're trying to take the context of the problem, and we're trying to state. What the null and alternative hypotheses are, that's our first two answers. And our third and final answer is we're asked to specify which hypothesis is the claim for this particular problem. So now that we know that we're Ultimately trying to solve for three separate answers. Our first step is we need to solve for the null hypothesis first. So as we should recall, we can denote the null hypothesis as H subscript 0. And we can state that for the new hypothesis, we can say that mu, and let's say that mu represents the average sugar content in a serving of this new cereal. So we could say for the null hypothesis for this particular case that mu is equal to 15, because once again we're told that the average sugar content. In a serving of a new cereal is less than 15 g. So that's the key words here is less than 15 g. So you can say once again that our null hypothesis is mu is equal to 15. Our second step now is we need to state our alternative hypothesis, which will denote as H subscript A, and for our alternative hypothesis, we can state that mu is less than 15. So now our third and final step is we need to determine based on the information that we have been told, we need to recall that for this particular case, the claim is that the mean is less than 15, so the claim is HA or alternative hypothesis, so mule. Is less than 15, so once again. The claim that this particular this particular promise is making, since we're told that the nutritionist claims that the average, which we can also say the mean, sugar content in the serving of a new cereal is less than 15 g, so that means that our claim has to be HA or alternative hypothesis where mu is less than 15. So that will mean our final three answers without a doubt, will have to be the following. So our null hypothesis is mu is equal to 15. Our alternative hypothesis is mu is less than 15, and the claim is HA, which once again represents our alternative hypothesis. And that's it. Those are our final three answers. Thank you so much for watching. Hopefully that helped and I can't wait to see you in the next video. Bye.

In Exercises 7–10, state the null and alternative hypotheses and identify which represents the claim,

An energy bar maker claims that the mean number of grams of carbohydrates in one bar is less than 25.

Key Concepts

Null Hypothesis (H0)

Alternative Hypothesis (H1)

Claim

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