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Pachacha [2.7K]
3 years ago
13

Suppose you are determining whether the depth of groves cut into aluminum by a milling machine is equal to 1.7 mm. You cut 14 gr

oves, then measure the depth of each one. With these measurements, you perform a statistical hypothesis test to determine whether the groove depth is equal to 1.7 mm. Which of the following tests would you use?
1. This one-sided test:
H0: μ = 1.7 mm
H1: μ < 1.7 mm
2. This one-sided test:
H0: μ = 1.7 mm
H1: μ > 1.7 mm
3. This two-sided test:
H0: μ = 1.7 mm
H1: μ ≠ 1.7 mm
4. This two-sided test:H0: μ > 1.7 mm
H1: μ = 1.5 mm
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

For this case we want to check if the true mean for the depth of groves cut into aluminium by a machine is equal to 1.7 (null hypothesis) and the alternative hypothesis would be the complement different from 1.7. And the best system of hypothesis are:

Null hypothesis: \mu =1.7

Alternative hypothesis \mu \neq 1.7[/tx]And the best system of hypothesis are:3. This two-sided test:&#10;H0: μ = 1.7 mm&#10;H1: μ ≠ 1.7 mmStep-by-step explanation:For this case we want to check if the true mean for the depth of groves cut into aluminium by a machine is equal to 1.7 (null hypothesis) and the alternative hypothesis would be the complement different from 1.7. And the best system of hypothesis are:Null hypothesis: [tex]\mu =1.7

Alternative hypothesis [tex]\mu \neq 1.7[/tx]

And the best system of hypothesis are:

3. This two-sided test:

H0: μ = 1.7 mm

H1: μ ≠ 1.7 mm

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Answer:

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Step-by-step explanation:

If you fill out the blanks the way explained in the answer, you can prove that the 3 sentences match perfectly. The sum of all of them totals 58.

1. Thirty-one of them said they do not play baseball.

2. Sixteen of them said they play football.

3. Twenty of them said they do not play baseball or football.

By the way, as I mentioned before, I also attached the missing image in your original question.

Have a great day!

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5. Rounded to three decimal places, what is the value of r for this data set?
IrinaVladis [17]

The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as:

  • x: 8  15  3  7  2  14
  • y: 15  21  6  12  3  20

Using a graphing calculator, we have the following parameters:

<h3>X Values </h3>
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<h3>Y Values </h3>
  • ∑y = 77
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<h3>X and Y Combined </h3>
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The correlation coefficient (r) is then calculated as:

r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}

This gives

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Approximate

r = 0.981

Hence, the value of correlation coefficient (r) for the dataset is 0.981

Read more about correlation coefficient at:

brainly.com/question/4219149

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