Between and I ran 2273.7 kilometers. During this 631 day period I ran 337 times. Of those 337 runs, I tracked my pace in minutes per kilometer for 252 runs. Thus the sample size n is 252 runs. On these 252 my sample mean x pace of 6.75 minutes per kilometer. The sample standard deviation sx is 0.68 minutes per kilometer. For the purposes of this quiz, presume that the data is normally distributed. n = 252 x = 6.75 min/km sx = 0.68 min/km
Use the appropriate functions to calculate the answers to the following questions.
=NORMDIST(x,μ,σ,1)
=NORMINV(p,μ,σ)
μ = __________
Determine the point estimate for the population mean μ.
σ = __________
Determine the point estimate for the population standard deviation σ.
p(pace ≤ 5.24) = __________ My lowest pace was 5.24 minutes per kilometer on 07 April 2009 on a one-way run short run of 3.72 kilometers out to Dausokele bridge. Calculate the probality that my pace will be 5.24 minutes per kilometer or less.
p(pace ≤ 5.60) = __________ On the Rotary 5k in February I ran a 5.60 min/km pace. Calculate the probality that my pace will be 5.60 minutes per kilometer or less.
__________ Use the above result for question number four to estimate how many of my 252 runs were below 5.60 min/km.
p(pace ≥ 6.88) = __________ On Sundays I tend to put in a longer runs. On a long run I tend to take more time to cover one kilometer. My average pace on Sunday is usually 6.88 minutes per kilometer. Calculate the probability that my pace will be 6.88 min/km or greater.
p(5.60 ≤ pace ≤ 6.88) = __________ Calculate the probability that a pace will be between 5.60 and 6.88 min/km.
p(pace ≤ __________ ) = 0.10 Determine the pace below which are found the lowest 10% of the paces.
p(pace ≥ __________ ) = 0.20 Determine the pace above which are found the largest 20% of the paces.
A schematic idiagram of intersection-to-intersection distances for western Nett, Kolonia, and routes from Kolonia to the college is available.