Question

There is a new diet pill on the market. The producer of this diet pill advertises that those who follow their plan for 10 weeks will lose, on average, at least 10 pounds. A group of consumers is suspicious about this claim, believing that the average weight loss would actually be much less. If µ represents the mean weigh loss of the population of all of America's adults who use the diet pill, what is the null hypothesis?

Answer 1

@agent0smith

Answer 2

@whpalmer4

Answer 3

options

Ho: U>10
Ho: U does not equal 10
Ho: U<10
Ho: U=10
Ho: U is lesser than or equal to 10

Answer 4

The null hypothesis is what is being claimed. So this company is claiming that their customer s will lose on AVERAGE (that's the key word) at least 10 pounds. The null hypothesis is:
H_0: u = 10 (from your options)

Other people that I have learned this from say that the null hypothesis could be, in this situation, \[H_0: \mu \ge 10\] because it says at least, but most profs teach that the null hypothesis is always "equal to"

Hope this helps!

Answer 5

but greater than or equal to is not the answer

Answer 6

right, so yours is equal to

Answer 7

Perfect, can you help me on one more question before i go to sleep?

Answer 8

I can try lol!

Answer 9

Ask away!

Answer 10

There is a new diet pill on the market. The producer of this diet pill advertises that those who follow their plan for 10 weeks will lose, on average, at least 10 pounds. A group of consumers is suspicious about this claim, believing that the average weight loss would actually be much less. If µ represents the mean weigh loss of the population of all of America's adults who use the diet pill, what is the alternate hypothesis?

Answer 11

options:


A.Ha:U<10

B.Ha:U=10

C.Ha:U does not equal10

D.Ha:lesser than or equal to 10

E.Ho:U=30
Ho:U does not equal 30

Answer 12

The alternate hypothesis is what is in question. It's usually some group of people that believe it's different/less/greater/etc, or in your question's case, it says that they are suspicious about this claim. I've been taught that the alternate hypothesis is exactly opposite of the null hypothesis.

In your question, it says the company claims* that consumers will lose AT LEAST 10 pounds and "at least" means greater than or equal to, so the opposite is less than (and not equal to)

Answer 13

So A is your answer. but does that make sense?

Answer 14

Yes! Thank you!

Answer 15

You're welcome!