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Alexxandr [17]
3 years ago
7

H(0)=

Mathematics
1 answer:
Delvig [45]3 years ago
5 0
D is the right answer
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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
Which of the following rational numbers is equal to 3/5?
Vedmedyk [2.9K]
3/5 = 60%
20 ÷ 5 = 4
3 x 4 = 12

Answer is A) 12/20
4 0
3 years ago
Read 2 more answers
What is the decimal that is 1/10 of 3.0
Musya8 [376]

the answer to that is 2.9 because 3.0-0.1=2.9


3 0
3 years ago
Read 2 more answers
BRAINLIEST HELP MEEE<br> 7x + 3 = 2x + 13
lianna [129]

Answer:

The answer is x = 2.

Step-by-step explanation:

7x + 3 = 2x + 13

  5x + 3 = 13

     5x = 10

       x = 2

7 0
2 years ago
Read 2 more answers
What is 0.888 into a fraction, is it over 100ths or 1,000's?
Bingel [31]

Thanks for using Brainly!

0.888 = 111/125 = 88.8percent

I just gave you 0.888 is it's fraction and percentage.

First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.

Second, 111/125 as a percentage is 88.8%.

Have a great day.

8 0
3 years ago
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