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

hi there

the slope is 1/3.

this is because from the y-intercept, you go up one, and you go to the right three, to get to the next exact point on the graph. this is known at the “rise over run.”

p.s. (if you need it).your y-intercept is -2, because that is the point on the graph where the line crosses the y-axis.

hope that : )