WileyPLUS: MyWilerPLUS Contact UsLoOu US Black, Business Statistics, se Black, B
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WileyPLUS: MyWilerPLUS Contact UsLoOu US Black, Business Statistics, se Black, Business Statistics, 8e BUSINESS STATISTICS (ECON 245) Assignment Gradebook ORI & Practice Start Times 05 52 PM/ Ramaining: 52 min. FULL SCREEN PRINTER VERSION BACK Question 1 A national publication reported that a college student living away from home spends, on average, no more than $15 per month on laundry. You believe thies figure is too low and want to conduct the test, you randomly select 18 coliege students and ask them to keep track of the amount of laundry of $18.34, with a population standard deviation of $3.58. Use these sample data to conduct the hypothesis test. Assume you are willing to take a 10% risk of disprove this claim. To d that spending of the amount of money they spend during a given month for laundry. The sample produces an average expenditure on on laundry per month is normally distributed in the population. (Round your answer to 2 decimal places.) The value of the test statistic is and we Question Attempts: 0 of 1 used sAVE FOR LATER SUBMIT ANSWER 6:30 PM 40) 11/28/2017 re to search ^Explanation / Answer
Given that,
population mean(u)=15
standard deviation, =3.58
sample mean, x =18.34
number (n)=18
null, Ho: <15
alternate, H1: >15
level of significance, = 0.1
from standard normal table,right tailed z /2 =1.282
since our test is right-tailed
reject Ho, if zo > 1.282
we use test statistic (z) = x-u/(s.d/sqrt(n))
zo = 18.34-15/(3.58/sqrt(18)
zo = 3.96
| zo | = 3.96
critical value
the value of |z | at los 10% is 1.282
we got |zo| =3.96 & | z | = 1.282
make decision
hence value of | zo | > | z | and here we reject Ho
p-value : right tail - ha : ( p > 3.96 ) = 0
hence value of p0.1 > 0, here we reject Ho
ANSWERS
---------------
test statistic: 3.96, decision: reject Ho
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