Answer:
1) Yes
2) No
Step-by-step explanation:
In the first test t distribution is appropriate to use because in the dot plot the 16 data points can be seen other the the data points clustered round the mean.
Here degrees of freedom = n-1= 74
S. E= s/√n
S.E= 10.1/ √74= 1.17
For t - distribution it is assumed that the sample is approximately normal which is visible in the dot plot in the first test.
In the second case z test should be applied.
Z test is used when the population standard deviation is not known .
In the second test t distribution is not appropriate to use because in the dot plot only 2 data points can be seen other the the data points clustered round the mean.
For t - distribution it is assumed that the sample is approximately normal which is not visible in the dot plot.
