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3 years ago

12

Add the following numbers and use the checking method (add down and then add up) to make sure your answer is correct. (Copy care

fully on scratch paper to work the problem.)
35
+47

1 answer:

Serggg [28]3 years ago

7 0

35+47=82, to check it, 82-35=47 :)

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A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines

storchak [24]

Answer:

The null hypothesis is $H_o: \mu = 4$ .

The alternate hypothesis is $H_a: \mu \neq 4$

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

$H_o: \mu = 4$

At the alternate hypothesis we test if it is different. So

$H_a: \mu \neq 4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that $\mu = 4$

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that $n = 196, X = 4.14$

He knows that the population standard deviation is 0.83 cm.

This means that $\sigma = 0.83$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}$

$z = 2.36$

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

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3 years ago

Solve the system with the addition method 7x-6y=11<br>-2×+y=-6

Anvisha [2.4K]

Step-by-step explanation:

the value of x = 5 and the value of y = 4

6 0

3 years ago

Solve the equation 4x^2-12x=7 algebraically for x

True [87]

Answer:

Step-by-step explanation:

4x^2-12x=7

x= -1/2 and 7/2

6 0

3 years ago

The 1,840 rock concert tickets sold were twice the amount of jazz concert tickets sold

Yuki888 [10]

So there where two times the amount of rock tickets sold than the jazz concert. If that is it then you divide the 1840 by 2 getting 920, dividing 1÷2 you get zero remainder 1, 18÷2= 9, 4÷2= 2, and 0÷2= 0. 920. Hope i helped :)

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3 years ago

Read 2 more answers

he Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and

sergejj [24]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

$H_0:$ Management quality and corporate reputation are independent.

$H_1:$ Management quality and corporate reputation are not independent.

Test statistic:

$\to \chi^2 = \frac{\sum (O-E)^2}{E}$

$= 0.71429 + 0.0102 +2.8809+0.625+1.75 +0.3333 +0+3.2143+7.5\\\\= 17.02806$

The critical $\chi^2$ for $df = (r-1)(c-1) = (3-1)(3-1)= 4$ and $\alpha = 0.05$ is $\chi^2= 9.4877$

Test statistic:

$17.02806 > 9.4877$ therefore rejecting the null hypothesis $H_0$ .

p-value $= 0.001909$

Interpretation:

There is no internal governance quality as well as the reputation of the organization.

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3 years ago