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White raven [17]
3 years ago
13

Advertisements for the Sylph Physical Fitness Center claim that completion of their course will result in a loss of weight (meas

ured in pounds). A random sample of 8 recent students revealed the following body weights before and after completion of SPF course.
Student 1 2 3 4 5 6 7 8
Before 155 228 141 162 211 185 164 172
After 154 207 147 157 196 180 150 165
The above data summarizes to the following (Note that "Difference = Before - After").
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Construct a 90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population.
Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

Step-by-step explanation:

The data given is

                        Mean                 Std Dev

Before            177.25                29.325

After              169.50                    22.431

Difference        7.75                    8.598

Hence d`=   7.75 and sd=   8.598

The 90% confidence interval for the difference in means for the paired observation is given by

d` ± t∝/2(n-1) *sd/√n

Here  t∝/2(n-1)=1.895  where n-1= 8-1= 7 d.f

and  ∝/2= 0.1/2=0.05

Putting the values

d` ± t∝/2(n-1) *sd/√n

7.75  ±1.895 *  8.598 /√8

 7.75  ± 5.7605

1.989 ,13.5105

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

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3 years ago
((4-x)/5)+((x+2)/3)=6 Please Help Soon
Vlada [557]

Answer:  x = 34

Step-by-step explanation:

⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6

Now resolve into fraction and convert to a linear equation

4 - x /₅ + x + 2/₃ = 6

3( 4 -x ) + 5( x + 2 )/15 = 6

3( 4 - x ) + 5( x + 2 )    = 6 x 15

12 - 3x + 5x + 10         = 90

        2x + 22              = 90

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masya89 [10]
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Elan Coil [88]

Answer:

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Mode- 6

Step-by-step explanation:

1. Place the numbers in order from smallest to biggest.

0,2,3,4,5,6,6,6,7,8,8

Finding the mean (average)- add all the numbers in thd data set together. Which would be 55. Then, you would divide that number by the number of the numbers in the data set. (11 numbers.) 55/11. 55 divided by 11 is 5, so that is your answer.

Finding the median- This is why we put the numbers in order. We are finding the number that is directly in the middle of the numbers. Mark one on each side until you get to the number in the middle. In this case, the median number will be 6.

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