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musickatia [10]
3 years ago
14

PLS HELP ME ASAP FOR QUESTION 11 AND 13!! (MUST SHOW WORK!!!) + LOTS OF POINTS!! *brainliest*

Mathematics
1 answer:
ANEK [815]3 years ago
7 0
-26.125 / 5.5 = -4.75 or 7 3/4

11w - 1/2 = 5.5 - 11 = -5.5 or -5 1/2
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This claim is to be investigated at .01 levels. “Forty percent or more of those persons who retired from an industrial job befor
Degger [83]

According to the described situation, we have that:

  • The null hypothesis is H_0: p < 0.4

The decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

The value of the test statistic is of z = -0.866.

<h3>What is the null hypothesis?</h3>

The claim is:

"Forty percent or more of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available"

At the null hypothesis, we consider that the claim is false, that is, the proportion is of less than 40%, hence:

H_0: p < 0.4

<h3>What is the decision rule?</h3>

We have a right-tailed test, as we are testing if a proportion is less/greater than a value. Since we are working with a proportion, the z-distribution is used.

Using a z-distribution calculator, the critical value for a right-tailed test with a significance level of 0.01 is of z = 2.327, hence, the decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

p = 0.4, n = 200, \overline{p} = \frac{74}{200} = 0.37

Hence:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.37 - 0.4}{\sqrt{\frac{0.4(0.6)}{200}}}

z = -0.866

The value of the test statistic is of z = -0.866.

You can learn more about hypothesis tests at brainly.com/question/16313918

7 0
2 years ago
An ice-making machine needs to be switched on
coldgirl [10]

Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.

4 0
3 years ago
The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number.
IgorC [24]
B>a 

<span>b=3a-22, b+2a=98, using b from the left in the right: </span>

<span>3a-22+2a=98 </span>

<span>5a-22=98 </span>

<span>5a=120 </span>

<span>a=24, and since b=3a-22, </span>

<span>b=50 </span>

<span>So the smaller number is 24 and the larger number is 50.</span>
8 0
3 years ago
Read 2 more answers
Two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete th
ki77a [65]

Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

5 0
3 years ago
Select the objects that hold the same amount of liquid as a 98 fluid ounce jug
Tema [17]
To answer this question, you need to know how many fluid ounces are in a pint and in a quart.  None of the choices reflect 98 fl oz, so I showed the ones that would hold 96 fluid ounces.

1 cup = 8 fl oz
2 cups = 16 fl oz
1 pint = 2 cups, so 1 pint also equals 16 fl oz.

2 pints equal 1 quart, so 16 x 2 = 32 oz (the number of fluid ounces in a quart)

1 pint - 16 fl oz
1 quart = 32 fl oz

Choice A: 3 quarts x 32 =96 fl oz.
Choice B: 2 quarts x 32 = 64 fl oz
Choice C: 2 quarts  x 32 + 2 pints x 16 = 64 + 32 (96 fl oz)
Choice D: 1 quart x 32 + 8 cups x 8 = 32 + 64 (96 fl oz)
Choice E: 2 cups x 8 + 2 pints x 16 = 16 + 32 (48 fl oz)
6 0
3 years ago
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