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liberstina [14]
4 years ago
12

What fraction of 1 pint is 1 cup

Mathematics
1 answer:
larisa86 [58]4 years ago
5 0
Ok, so In order to figure the answer we have to know what 1 pint is equal to. \\ 1 \ pint \ = \ 2 \ cups
 \\ Fraction:\boxed{ \frac{1}{2}} \\ 
 \\
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Read 2 more answers
Students in a representative sample of 69 second-year students selected from a large university in England participated in a stu
Serhud [2]

Answer:

95% confidence interval estimate of μ, the mean procrastination scale for second-year students at this terval college is [39.34 , 42.66].

Step-by-step explanation:

We are given that for the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.89.

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

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

where, \bar X = sample mean procrastination score = 41

             s = sample standard deviation = 6.89

            n = sample of students = 69

            \mu =  population mean estimate

<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 true mean, \mu is ;

P(-1.9973 < t_6_8 < 1.9973) = 0.95  {As the critical value of t at 68 degree

                                        of freedom are -1.9973 & 1.9973 with P = 2.5%}  

P(-1.9973 < \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } } < 1.9973) = 0.95

P( -1.9973 \times{\frac{s}{\sqrt{n} } } < {\bar X -\mu} < 1.9973 \times{\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-1.9973 \times{\frac{s}{\sqrt{n} } } < \mu < \bar X+1.9973 \times{\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for </u>\mu =[\bar X-1.9973 \times{\frac{s}{\sqrt{n} } } , \bar X+1.9973 \times{\frac{s}{\sqrt{n} } }]

                              = [ 41-1.9973 \times{\frac{6.89}{\sqrt{69} } } , 41+1.9973 \times{\frac{6.89}{\sqrt{69} } } ]

                              = [39.34 , 42.66]

Therefore, 95% confidence interval estimate of μ, the mean procrastination scale for second-year students at this terval college is [39.34 , 42.66].

5 0
3 years ago
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