Find the critical value(s) that would be used in a hypothesis test of the following claim. Claim: "The mean amount of beverage in a medium drink sold at this college's cafeteria is less than 20 ounces." A random sample of 101 medium drinks from this cafeteria is collected, and it produces a test statistic of t = -2.89. A significance level of α = 0.01 is to be used.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 20 ounces

Sample size, n = 101

Alpha, α = 0.01

First, we design the null and the alternate hypothesis

We use one-tailed t test to perform this hypothesis.

Now,

Conclusion:

Since the calculated test statistic is less than the critical value we fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis.

Thus, there is enough evidence to support the claim that the mean amount of beverage in a medium drink sold at this college's cafeteria is less than 20 ounces

the monthly balance will be $75,000

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.