Apply t-test to the following data sets and compare it with the value of u=4. Identify the test and find the critical value and state the conclusion a) 2 3 4 5 6 7 b) 1 2 2 5 5 7

a)0.654

b)-0.34

Step-by-step explanation:

a)2 3 4 5 6 7

Standard deviation

Standard deviation

Df = n-1 = 6-1 = 5

Assume α=0.05

So

So, t critical = 2.57

So, t calculated < t critical

b)1 2 2 5 5 7

Standard deviation =

Standard deviation =

Df = n-1 = 6-1 = 5

Assume α=0.05

So,

So, t critical = 2.57

So, t calculated < t critical

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05