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

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]

x = -2

y = 848

step-by-step explanation:

plug in the numbers

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)