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The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.

Let $\mu$ = population mean length of pencils produced in that factory.

So, Null Hypothesis, $H_0$ : $\mu$ = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}

The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean length of pencils = 17.9 cm

$\sigma$ = population standard deviation = 0.25 cm

n = sample of pencils = 45

So, the test statistics = $\frac{17.9-18.0}{\frac{0.25}{\sqrt{45} } }$

= -2.68

The value of z-test statistics is -2.68.

Now, the P-value of the test statistics is given by;

P-value = P(Z < -2.68) = 1 - P(Z $\leq$ 2.68)

= 1- 0.99632 = 0.00368

For the two-tailed test, the P-value is calculated as = 2 $\times$ 0.00368 = 0.00736.

7 0

3 years ago

Bobby bought the following at the school store 10 pencils for $0.21 each 8 pens for $0.45 each and Two posters for $0.55 each. H

77julia77 [94]

Bobby would have bought 1.21 dollars worth of items from the school store. This because you would line up the problem. In mine, I did 21 on top, 45 in the middle, and 55 on the bottom. And then I added the 1 + 5 + 5 in the right column which equaled 11. This required me to carry the one to the other side and put the other one down in the answer. Then I did 2 + 4 + 5 + 1 = 12. Then you have to add a decimal which makes the most sense to put it in between the 1 and 2. I hope that this is a help and have a great day! If you can please mark this brainliest and contact me if you need more help!

6 0

3 years ago

How many irrational numbers are there between 1 and 6

GarryVolchara [31]

There are an infinite number of irrational numbers between 1 and 6.

3 0

3 years ago

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