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zubka84 [21]
3 years ago
15

-8=-16+m pls show work! ty

Mathematics
2 answers:
puteri [66]3 years ago
7 0

Answer:

m = 8

Step-by-step explanation:

-8 = -16 + m

Switch sides.

-16 + m = -8

Add 16 to both sides.

m = 8

rosijanka [135]3 years ago
6 0

Answer:

-8=-16+m

-8+16=m

m=8

I would appreciate if my answer is chosen as a brainliest answer

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For a quality control test, a company checks the miles per gallon (mpg) for a simple random sample of 100 minivans drawn from it
amm1812

Answer:

95% confidence interval for the average mpg of all minivans in the company's inventory is [15.22 mpg , 15.98 mpg].

Step-by-step explanation:

We are given that a company checks the miles per gallon (mpg) for a simple random sample of 100 minivans drawn from its current inventory.

The average mpg of these 100 minivans is 15.6 with a standard deviation of 1.9 mpg.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                         P.Q. = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average mpg = 15.6 mpg

             s = sample standard deviation = 1.9 mpg

            n = sample of minivans = 100

            \mu = population average mpg

<em>Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.</em>

So, 95% confidence interval for the population mean, \mu is ;

P(-1.987 < t_9_9 < 1.987) = 0.95  {As the critical value of t at 99 degree

                                         of freedom are -1.987 & 1.987 with P = 2.5%}  

P(-1.987 < \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } } < 1.987) = 0.95

P( -1.987 \times {\frac{s}{\sqrt{n} } } < {\bar X -\mu} < 1.987 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-1.987 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.987 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.987 \times {\frac{s}{\sqrt{n} } } , \bar X+1.987 \times {\frac{s}{\sqrt{n} } } ]

                                      = [ 15.6-1.987 \times {\frac{1.9}{\sqrt{100} } } , 15.6+1.987 \times {\frac{1.9}{\sqrt{100} } } ]

                                      = [15.22 mpg , 15.98 mpg]

Therefore, 95% confidence interval for the average mpg of all minivans in the company's inventory is [15.22 mpg , 15.98 mpg].

It is appropriate to compute a confidence interval for this problem using the Normal curve as t test statistics is used when data should follow normal distribution.

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