Chegg A manufacturer of submersible pumps claims that at most 30% of the pumps require repairs within the first 5 years of operations. A random sample of 120 of these pumps included 47 which required repairs within the first 5 years. Does the manufacturer’s claim appear to be true, at the 0.05 level of significance?

No, the manufacturer’s claim doesn't appear to be true, at the 0.05 level of significance.

Step-by-step explanation:

We are given that a manufacturer of submersible pumps claims that at most 30% of the pumps require repairs within the first 5 years of operations. A random sample of 120 of these pumps included 47 which required repairs within the first 5 years.

We have to test the manufacturer’s claim.

Firstly, as we know that the testing is done always on the population parameter.

Let p = % of the pumps that require repairs within the first 5 years of operations.

SO, Null Hypothesis, : 30%  {means that at most 30% of the pumps require repairs within the first 5 years of operations}

Alternate Hypothesis, : p > 30%   {means that more than 30% of the pumps require repairs within the first 5 years of operations}

The test statistics that will be used here is One-sample z proportion test;

                    T.S. =  ~ N(0,1)

where, = proportion of the pumps that require repairs within the first 5 years of operations in a sample of 120 =

            n = sample of pumps  120

So, test statistics  =

                               = 2.057

Now, at 0.05 level of significance, the z table gives critical value of 1.6449. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that more than 30% of the pumps require repairs within the first 5 years of operations which means the manufacturer’s claim was not true.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)