\"Unit 4, Topic 20, Exercise 20-17 Backpack weights A group of undergraduate stu
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"Unit 4, Topic 20, Exercise 20-17 Backpack weights A group of undergraduate students at Cal Poly (Mintz, Mintz, Moore, and Schuh, 2002) conducted a study examining how much weight students carry in their backpacks. They weighed the backpacks of 100 students and compared the distributions of backpack weights between men and women. The student researchers also recorded the body weight of each student and computed the ratio of backpack weight to body weight for each student. a. Is this ratio a categorical or quantitative variable? b. Conduct a test of whether or not the sample data provide evidence that the population mean ratio differs from The sample mean is R 0,077203 and the standard deviation is 0.036640. Report all aspects of the test, including a check of technical conditions. Also, summarize your conclusion. Round the test statistic to two decimal places. Use the able to find a range for the p -value. If there is no lower limit on the value, enter 0 for the lower limit. If there is no upper limit on the p -value, enter 1 for the upper limit. Test statistic: t -value Because the P value is L Ho at any common significance level. You strong statistical evidence that the population mean ratio is not 0.10. c. Comment on whether or not your test result is consistent with the 99 confidence interva 0067534, 0086872 Since 0.10 is not in this interval, this consistent with the test result. Answer 1: exact number, no tolerance Answer 2: exact number, no tolerance Answer 3: the tolerance is +/-2% Answer 4: exact number, no tolerance Answer 5: exact number, no tolerance Question Attempts: 0 of 2 used Copyright 2000-2017 by John Wiley & Sons, Inc. or related companies. All rights reserved.Explanation / Answer
Given that,
population mean(u)=0.1
sample mean, x =0.077203
standard deviation, s =0.03664
number (n)=100
null, Ho: =0.1
alternate, H1: !=0.1
level of significance, = 0.1
from standard normal table, two tailed t /2 =1.66
since our test is two-tailed
reject Ho, if to < -1.66 OR if to > 1.66
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =0.077203-0.1/(0.03664/sqrt(100))
to =-6.222
| to | =6.222
critical value
the value of |t | with n-1 = 99 d.f is 1.66
we got |to| =6.222 & | t | =1.66
make decision
hence value of | to | > | t | and here we reject Ho
p-value :two tailed ( double the one tail ) - Ha : ( p != -6.2219 ) = 0
hence value of p0.1 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: =0.1
alternate, H1: !=0.1
test statistic: -6.222
critical value: -1.66 , 1.66
decision: reject Ho
p-value: 0
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