Question

In: Statistics and Probability

According to a government​ agency, the average daily water consumption for a household of four people...

According to a government​ agency, the average daily water consumption for a household of four people in a particular country is at least

245

gallons. Suppose another agency plans to test this claim using an alpha level equal to

0.10

and a random sample of

100

households with four people. Complete parts a and b.

a. State the appropriate null and alternative hypotheses.

Choose the correct hypotheses below.

A.

H0 muμgreater than or equals≥245245

HA:= muμless than<245245

B.

H0​: muμless than or equals≤245245

HA​:muμgreater than>245245

C.

H0​: muμequals=245245

HA​: muμnot equals≠245245

D.

H0​:muμgreater than>245245

HA​:muμequals=245245

b. Calculate the probability of committing a Type II error if the true population mean is

239

gallons. Assume that the population standard deviation is known to be

42

gallons.The probability of a type II error is ____

Solutions

Expert Solution

Let X: Daily water consumption for a household of four people

thus it may concluded that the

orchestra answered 1 year ago
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