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otez555 [7]
3 years ago
13

Jeffrey is playing a game with the two spinners below in the attachment:

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0
Your answer would be C.
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4/9 and 5/18

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Total: 5+8+5=18

the probability of selecting a Republican is 8/18=4/9

the probability of selecting a Democrat is 5/18

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3 years ago
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Here are the weights, in pounds, of a sample of 13 adult female golden retriever dogs: 59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0,
lidiya [134]

Answer:

95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].

Step-by-step explanation:

We are given that the weights, in pounds, of a sample of 13 adult female golden retriever dogs :

59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4.

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 mean weight =  \frac{\sum X }{n}  = 54.9 pounds

            s = sample standard deviation =  \frac{\sum (X-\bar X)^{2} }{n-1}  = 3.12 pounds

           n = sample of female = 13

           \mu = population mean weight

<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>

<em />

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

P(-2.179 < t_1_2 < 2.179) = 0.95  {As the critical value of t at 12 degree

                                          of freedom are -2.179 & 2.179 with P = 2.5%}  

P(-2.179 < \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } } < 2.179) = 0.95

P( -2.179 \times {\frac{s}{\sqrt{n} } } < {\bar X -\mu} < 2.179 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.179 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X +2.179 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu =  \bar X \pm 2.179 \times {\frac{s}{\sqrt{n} } }

                                             = [ 54.9 - 2.179 \times {\frac{3.12}{\sqrt{13} } } , 54.9 +2.179 \times {\frac{3.12}{\sqrt{13} } } ]

                                             = [53.01 pounds , 56.78 pounds]

Therefore, 95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].

3 0
4 years ago
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