Name: Deep Harshad Prajapati
Friday T.A. name/Class time: Yujie Chen, 1:30 – 2:20 PM
Lab 5: Normal Distribution and Sampling Distribution
SPSS will not be used for this lab. You will need the Normal Table throughout the lab.
You may find this table on Brightspace Course Content TABLES z table.
Note: These tables in Brightspace are the same tables used in Perdisco and on the exam.
Also, 30% points will be deducted for late submission, up to 24 hours.
1. We will investigate the maximum number of push-ups that a subject can do at one
time in the dataset (variable PU); call this variable X. Assume the population values
of PU are Normally distributed with mean 11 and standard deviation 6.
a) (2 points) Find the probability that the maximum number of push-ups a
random subject can do in one session is less than 8. Show your work. Start by
writing the probability statement corresponding to this question, in terms of
the variable (X). Write your final answer to 4 decimal places.
µ=11 σ= 6
P (X < 8)
Z = (8 – 11 / 6) = -0.5
P (X < 8) = 0.3085 in z-table
b) (3 points) Label the axis in terms of PU, including the values for the
individual in part (a) and the population mean. Shade the area representing
the probability in part (a) and indicate its value.
X = 8 µ=11
c) (3 points) Label the axis in terms of the test statistics (z), including the
values for the individual in part (a) and the population mean. Shade the area
representing the probability in part (a) and indicate its value.
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