1.
2.602
-1.729
+/- 2.179
2.
1.321
-2.426
+/-2.738
3.
-1.377
-1.714
Skip this problem.
Outside critical region
4.
2.67
2.492
Skip this problem.
Outside critical region
5.
2.5
+/- 2.819
Skip this problem.
In between critical regions
99.4 to 110.2
11.
Ho: = $67
Ha: >67
2% chance that $73 is an outlier of a sample with $67 average.
P-value is lower than the 0.05 level of significance, so reject null hypothesis
13.
Ho: =22
Ha: >22
Verified: random, large (200) sample, small proportion of all ACT takers
Classical approach: 2.17 for t(0) and 1.66 for t(.05)
Reject null hypothesis
15.
-4.55 < -2.718
Reject null hypothesis
17.
0.813 < 1.685
Do no reject null hypothesis
19.
35.44 to 42.36
Still within range
1.
28.869
14.041
16.047, 45.722
3.
20.5
13.091
Skip this problem
Do not reject null hypothesis
13.
Note. The sample standard deviation of the data shown is.\(15.205043\). You will have to knit this to see the number though.
6.42
Do not reject null hypothesis
15.
15.64
Reject null hypothesis