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Gennadij [26K]
3 years ago
11

the 6:00 am temperatures for four consecutive days in the town of lincoln were -12.1 celcius, -7.8 celcius, -14.3 celcius, and -

7.2 celcius. what was the average 6.00 am temperature for the four days?
Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0
The answer is 10.35 all u have to do is add them all up and divide them by 4 and u will get ur answer which is 10.35
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An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concen
devlian [24]

Answer:

(a) A 95% confidence interval for the population mean is [433.36 , 448.64].

(b) A 95% upper confidence bound for the population mean is 448.64.

Step-by-step explanation:

We are given that article contained the following observations on degrees of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:

420, 425, 427, 427, 432, 433, 434, 437, 439, 446, 447, 448, 453, 454, 465, 469.

Firstly, the pivotal quantity for finding the 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 mean = \frac{\sum X}{n} = 441

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 14.34

            n = sample size = 16

            \mu = population mean

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

<em />

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.131 < t_1_5 < 2.131) = 0.95  {As the critical value of t at 15 degrees of

                                             freedom are -2.131 & 2.131 with P = 2.5%}  

P(-2.131 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.131) = 0.95

P( -2.131 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.131 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X -2.131 \times {\frac{s}{\sqrt{n} } } , \bar X +2.131 \times {\frac{s}{\sqrt{n} } } ]

                                      = [ 441-2.131 \times {\frac{14.34}{\sqrt{16} } } , 441+2.131 \times {\frac{14.34}{\sqrt{16} } } ]

                                      = [433.36 , 448.64]

(a) Therefore, a 95% confidence interval for the population mean is [433.36 , 448.64].

The interpretation of the above interval is that we are 95% confident that the population mean will lie between 433.36 and 448.64.

(b) A 95% upper confidence bound for the population mean is 448.64 which means that we are 95% confident that the population mean will not be more than 448.64.

6 0
3 years ago
Help? Thanks!!!!!!!! If possible show work please!
FrozenT [24]

Answer:

B =102

Y = 32

Step-by-step explanation:

Solving (47):

To solve for B, we have:

B + 50 + 28 = 180 --- sum of angles in a triangle

This gives

B + 78 = 180

Collect like terms

B =- 78 + 180

B =102

Solving (48):

To solve for Y, we have:

X + Y+ Z = 180 --- sum of angles in a triangle

This gives

Y = 180 - X - Z

Where

W+ X=180 -- angle on a straight line

Solve for X

X=180 -W

X=180 -100 = 80

So, we have:

Y = 180 - X - Z

Y = 180 - 80 - 68

Y = 32

5 0
3 years ago
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