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sergeinik [125]
3 years ago
9

How do I complete the proof?

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0
The proof is to show your work
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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
How many milliliters are equal to 5.265 liters?
MAXImum [283]
The answer is 5265 milliliters
3 0
3 years ago
Read 2 more answers
83. 6 in a complex number
grin007 [14]

Answer:

83.6 is a real number

Step-by-step explanation:

Since 83.6 83.6 is a real number, it is the real part (a) of the complex number a+bi a + b i . A real number does not contain any imaginary parts, so the value of b b is 0 0 . The answer is 83.6+0i 83.6 + 0 i

5 0
4 years ago
The radius of a circle is 56 cm. Find the circumference of the circle to the nearest tenth. 351.9 cm 9,852.0 cm 112.0 cm 88.0 cm
borishaifa [10]

Alright, lets get started.

We have given a circle which has 56 cm radius.

We are asked to find its circumference.

The formula for circumference of circle = 2 pi r

Putting the value of pi and r

So the circumference = 2 * 2.142 * 56

Simplifing

Hence the circumference of circle = 351.9 cms

Answer is 351.9 cm

Hope it will help :)

7 0
3 years ago
Square root of 32 = 25/2 true or false ?
USPshnik [31]
False, the estimated square root of 32 is 5.65685424... while 25/2 = 12.5
3 0
3 years ago
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