Please let me know how you solved for the test statistic and p value! thank you!
ID: 3244052 • Letter: P
Question
Please let me know how you solved for the test statistic and p value! thank you!
You wish to test the following claim (Ha) at a significance level of 0.10 Ho : = 59.3 Ha: > 59.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data Column A Column B Column C Column D Column E 69.8 49.2 53.4 51.1 69.8 71.8 84.1 45.3 65.2 84.1 30.4 57.2 73 62.1 80.6 59.3 89 73.9 52.8 62.5 92 59.3 70.2 87.8 73.5 96.5 76.2 63.3 49.9 64.4 30.4 93.9 90.4 80.6 62.9 68.2 58.9 74.8 100.7 83.3 64.8 47 72.2 50.5 81.2 69.8 73.5 52.8 76.2 79.9 78.8 39.1 72.6 79.9 74.8 55.8 77.2 62.5 61.7 44.3Explanation / Answer
given mu = 59.3
for the given data of 60 values
Mean (Average)
67.94
Standard deviation
15.64949
as sigma is unknown we use t test
t = (x-mu) /(s/sqrt(n)
t =( 67.94 - 59.3) / (15.64949/sqrt(60)) = 4.2765
p value for t =4.2765 with df = 59 is 0.000035
The P-Value is .000035
The result is significant as P<0.1
we can Reject null hypothesis