Walking cadence values (in strides per second), measured on 10 randomly selected

Question

Walking cadence values (in strides per second), measured on 10 randomly selected healthy Halifax men, were found to be the following: 0.98 0.83 1.03 0.85 0.88 0.92 0.93 0.81 0.97 0.83. Assume these data are drawn from a normally distributed population a) Calculate the sample mean cadence. Give your answer to TWO places past the decimal. Tries 0/5 b) Calculate the sample standard deviation of the cadences. Give your answer to THREE places past the decimal. | Tries 0/5 c) Compute a 90% confidence interval for population mean cadence. (Give decimal answer to TWO places past decimal.)Lower bound: Upper bound: Tries 0/5

Explanation / Answer

a)
sample mean = sum of all numbers/ total number
= 9.03/10 = 0.90

b)
Smple std.deviation = summation of ( x - mean) ^2/n-1
= (0.98 - 0.9)^2 +(0.83 - 0.9)^2 +(1.03 - 0.9)^2 + .....(0.97 - 0.9)^2 +(0.83 - 0.9)^2/9
= 0.075

c)
t value at 90% = 1.8331
CI = mean +/- t * (s/sqrt(n))
= 0.9 +/- 1.8331 * ( 0.075/sqrt(10))
= (0.86 , 0.94)

Lower Bound = 0.86
Upper Boumd = 0.94

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