MS 150 Statistics q14 Name:
The number of steps for ten Mondays back in 2004 as recorded by a
clip on pedometer are shown in the table.
Pedometer data
Mondays in 2004 
9972 
7777 
8412 
9307 
6974 
9647 
8881 
6866 
6575 
10175 
For the number of footsteps on the ten Mondays above:
 _________ Determine the sample size n.
 _________ Calculate the sample mean x.
 _________ Calculate the sample standard deviation sx.
 _________ Calculate the zscore for 8200 steps per day.

Construct a 95% confidence interval for the population mean µ steps for Mondays back in 2004.
Use the sample size, sample mean and sample standard deviation to generate your tcritical t_{c}
and error tolerance E.
 __________ How many degrees of freedom?
 __________ What is t_{c}?
 The error tolerance E = _______________
 The 95% confidence interval for the Monday mean µ is ____________ ≤
µ ≤ ____________

__________
My 2008 population mean number of steps for any day of the week is 8200 footsteps.
Based on the above data and a 95% confidence level,
is the Monday mean from 2004 statistically significantly different
at a confidence level of 95% from 8200 footsteps?
 __________ Using 8200 footsteps as the population mean to calculate the tstatistic .
 __________ Determine the pvalue using the tdistribution.
 __________ What is the largest confidence interval c for which this change is statistically significant?
 _________________________________________________ Given a null hypothesis of H_{0}: µ = 8200
and an alternate hypothesis of H_{1}: µ ≠ 8200, would we
reject the null hypothesis
or
fail to reject the null hypothesis
that the sample could have come from that population at an α = 0.05.
 Hot off the press: Use the percentage and n given in the
abstract
PDF
to create a 95% confidence interval for the proportion of students 14 to 17 years old on Pohnpei
who intentionally injure themselves.
Run two confidence intervals, one for the boys and one for the girls.
Report whether the two proportions are statistically separated.
Also note what is the meaning for the "P<0.05" for those groups
most often reporting intentional injury.
The above report adds to a prior finding regarding obesity in the FSM that put the FSM at
number two on the planet for
percent of the population with a BMI over 25. While obesity is problematic across Micronesia, Kosrae came in for special
attention in one study. See also
[01]
[02]
[03]
Shortly after topping the obesity charts, the FSM was ranked number two for marijuana usage in a
UN drug report
as reported
in the Kaselehlie Press.