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muminat
3 years ago
8

Describe the error in the work shown

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

Answer:

The answer will be (xy^4)/4

Step-by-step explanation:

It will be (y^4)^3 instead of (y^3)^4 [ Third line ]

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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
Every 3 days Marco fills up his car with gas. Every 8 days he washes his car. On what day will Marco fill his car with gas and w
stiks02 [169]
I the week starts on Monday he will fill Monday and Saturday and on each Monday he will wash his car
7 0
3 years ago
Please help ! <br><br> Determine the number of real solutions for each system .
alina1380 [7]

Answer:

cant help on a test sorry

Step-by-step explanation:

8 0
3 years ago
Evaluate 4!. 4 12 24
jenyasd209 [6]
4! means the following:
4!=4\times3\times2\times1=24
3 0
3 years ago
Read 2 more answers
Use the X method to find the solutions of<br><br> 6x2 + 2x – 20 = 0.
Keith_Richards [23]

Answer:Hopes this helps!

6x²+2x-20=0

==>6x²+12x-10x-20=0

==>6x(x+2)-10(x+2)=0

==>(x+2)(6x-10)=0

==>x=-2 or x=5/3

5 0
3 years ago
Read 2 more answers
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