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Alex_Xolod [135]
3 years ago
14

Somebody please help ?

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0
Your answer is -i hoped it helped
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A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as 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 bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Math help me))))))))please
olasank [31]
X^2/(x- 9 = 81/(x - 9)
This is the equation for which you want the solution.
Multiplying both sides of the equation by (x - 9) we get
x^2(x - 9)/(x - 9) = 81(x - 9)/(x - 9)
So the (x - 9) goes out from both the denominator and the numerator and then the simplified equation becomes
x^2 = 81
x ^2 = (9)^2
x = 9
So the value of the unknown variable x comes out to be 9.
6 0
3 years ago
Read 2 more answers
PLS HELP..DUE IN LIKE 2 MINUTES The coordinates of the endpoints of CE are C(-3, -7) and E(7,-2). Point M(3,-4) is in CE. What i
TiliK225 [7]
Answer: 3:2
The ratio is 3:2
7 0
3 years ago
Which transformations map the strip pattern onto itself?
NemiM [27]

Answer:

C

Step-by-step explanation:

The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong

  • C is right becuase we can reflect the b across a vertical line to get to P
3 0
2 years ago
A square table top has an area of 36 cm sq . What is each side?
Natalija [7]
6 because 6 times 6 is 36
5 0
2 years ago
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