Which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function?

The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a la

stira [4]

<h2>Answer with explanation:-</h2>

Let $\mu$ be the population mean .

By observing the given information, we have :-

$H_0:\mu=7450\\\\H_a:\mu\neq7450$

Since the alternative hypotheses is two tailed so the test is a two-tailed test.

We assume that the life of a large shipment of CFLs is normally distributed.

(a) Given : Sample size : n=81 , since n>30 so we use z-test.

Sample mean : $\overline{x}=7240$

Standard deviation : $\sigma=1350$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{7240-7450}{\dfrac{1350}{\sqrt{81}}}\\\\\Rightarrow\ z=-1.4$

The critical value (two-tailed) corresponds to the given significance level :-

$z_{\alpha/2}=z_{0.025}=1.96$

Since the observed value of z (-1.4) is less than the critical value (1.96) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the mean life is different from 7450 hours .

(b) The p-value : $2P(z>-1.4)=0.1615$ , it means that the probability that the life of CFLs less than 7240 and greater than 7240 is 0.1615.

(c) The confidence interval for population mean is given by :-

$\overline{x} \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=7240\pm(1.96)\dfrac{1350}{\sqrt{81}}\\\\=7240\pm294\\\\=(6946,7534)$

,

8 0

3 years ago

Which of the following statements best describes the value of the expression 12x + 2 when x = 9?

RideAnS [48]

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps

4 0

2 years ago

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The triangular prism has a square base face of 8 cm. The perpendicular height from

Zielflug [23.3K]

C is your answer because I did the answer when I went to the store to pick up my dog

4 0

2 years ago

Ms. Bridges asked her class to evaluate the expression she wrote on her whiteboard.

Snezhnost [94]

Answer:

41

Step-by-step explanation:

PEMDAS parentheses equation multiplication division adding subtraction

8 0

3 years ago

If x2 = 30, what is the value of x?

nataly862011 [7]

Subtract 30, then factor the equation.

... x² = 30

... x² - 30 = 0

... (x -√30)(x +√30) = 0

By the zero product rule, the solutions are values of x that make a factor be zero.

... x - √30 = 0 . . . . the first factor is zero

... x = √30

... x + √30 = 0 . . . . the second factor is zero

... x = -√30

The solutions are . . .

... x = ±√30 . . . . . matches your 3rd choice

6 0

3 years ago

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