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kirill [66]
3 years ago
15

Please answer this question​

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

Step-by-step explanation:

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Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
Estimate the quotient: 1628 ÷ 8
Pachacha [2.7K]

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

4 0
3 years ago
Read 2 more answers
Hello could anyone tell me what 12 plus 14 times 2000 divided by 13 is?
sveticcg [70]
The exact answer is 2,165.846153846154
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2 years ago
What is the equation of the line that passes through the point (8,1) and has a slope of 3/4
iris [78.8K]

Answer:

believe the answer is

y =  \frac{3}{4} x - 5

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
Which of the following Could be used to determine the volume of a sheet of metal 50×34 that had identical squares cut out of the
valentinak56 [21]

Answer:

idk

Step-by-step explanation:

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