The u. s. department of agriculture claims that the mean consumption of bottled water by a person in the united states is 28.5 gallons per year. you believe that a person consume more than 28.5 gallons in bottled water per year. a random sample of 100 people in the united states has a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. at α = 0.10 significance level can you reject the claim?

No

Step-by-step explanation:

Let be the population mean .

As per given , we have to test the hypothesis.

∵ Alternative hypothesis () is right-tailed , so our test is a right-tailed test.

Also, the population standard deviation is unknown to be 0.8 , so we use t-test.

Test statistic:

, where = Sample mean

= population mean

= sample standard deviation.

n= Sample size

Substitute

n=  100 , we get

By t-distribution, the critical t-value for degree of freedom 99 ( df =n-1) and significance level 0.10  :

Decision : ∵ Calculated -value (-1.71) <  Critical value (1.29).

It means we do not reject the null hypothesis.

Conclusion : We do not have sufficient evidence at α = 0.10 significance level to reject the claim that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year

x+14

step-by-step explanation:

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more