A scale on a map says that 1 inch represents 60 miles. If the distance between two points on the map is 2 1/2 inches, how many m
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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. = ~
where, = sample mean weight =
= 54.9 pounds
s = sample standard deviation = = 3.12 pounds
n = sample of female = 13
= 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, is ;
P(-2.179 < < 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 < < 2.179) = 0.95
P( <
<
) = 0.95
P( <
<
) = 0.95
<u>95% confidence interval for</u> =
= [ ,
]
= [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].
