A study conducted across the US with n = 545 children found that on average kids
ID: 3179292 • Letter: A
Question
A study conducted across the US with n = 545 children found that on average kids are getting glasses at 5.5 years old with a standard deviation of .75 years. State a 95% confidence interval for the mean age of children getting corrective lenses: I am % confident that the age of children getting glasses is between and. Another study in Europe found that children there weren't getting glasses as early. They conducted a large study of a decade long from 2000 to 2015 and found that the average age was 6.2 years. Is there statistical evidence that children in the US are getting glasses sooner at the .05 level? Set up the hypothesis: Ho: mu = Ha mu Compute, t = and p = and state your conclusion: There (is/is not) statistically significant evidence at the level that children the US are. Dr. P is trying to determine increase flexibility of patients struggling with arthritis in their hips. He is using water therapyExplanation / Answer
Given that,
population mean(u)=6.2
sample mean, x =5.5
standard deviation, s =0.75
number (n)=545
null, Ho: =6.2
alternate, H1: <6.2
level of significance, = 0.05
from standard normal table,left tailed t /2 =1.648
since our test is left-tailed
reject Ho, if to < -1.648
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =5.5-6.2/(0.75/sqrt(545))
to =-21.789
| to | =21.789
critical value
the value of |t | with n-1 = 544 d.f is 1.648
we got |to| =21.789 & | t | =1.648
make decision
hence value of | to | > | t | and here we reject Ho
p-value :left tail - Ha : ( p < -21.7889 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: =6.2
alternate, H1: <6.2
test statistic: -21.789
critical value: -1.648
decision: reject Ho
p-value: 0
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