A researcher wishes to test the hypothesis that the mean age at first marriage f
ID: 3391636 • Letter: A
Question
A researcher wishes to test the hypothesis that the mean age at first marriage for women in Texas is less than 21.7, In a sample of/45/Texas women, he finds that the average age is 23.9 with a standard deviation of 5. Calculate the test statistic to two decimal places. The manufacturer of Twitchy Energy Drink is doing a quality inspection to make sure that the caffeine content of the drink is meeting specifications of 79.5 mg per can. Suppose a quality inspector takes a sample of size 14 from the production line and finds that the average caffeine content in the sample is 79.2 mg, with a standard deviation of 0.42 mg. Calculate the test statistic for testing the hypothesis that the true mean caffeine content is less than 79.5 mg per can, to two decimal places.Explanation / Answer
Q16.
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
21.7
Level of Significance
0.05
Sample Size
45
Sample Mean
23.9
Sample Standard Deviation
5
Intermediate Calculations
Standard Error of the Mean
0.7454
Degrees of Freedom
44
t Test Statistic
2.9516
Lower-Tail Test
Lower Critical Value
-1.6802
p-Value
0.9975
Do not reject the null hypothesis
Test statistic =2.95 ( two decimals)
Q17.
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
79.5
Level of Significance
0.05
Sample Size
14
Sample Mean
79.2
Sample Standard Deviation
0.42
Intermediate Calculations
Standard Error of the Mean
0.1122
Degrees of Freedom
13
t Test Statistic
-2.6726
Lower-Tail Test
Lower Critical Value
-1.7709
p-Value
0.0096
Reject the null hypothesis
Test statistic = -2.67 ( two decimals)
t Test for Hypothesis of the Mean
Data
Null Hypothesis m=
21.7
Level of Significance
0.05
Sample Size
45
Sample Mean
23.9
Sample Standard Deviation
5
Intermediate Calculations
Standard Error of the Mean
0.7454
Degrees of Freedom
44
t Test Statistic
2.9516
Lower-Tail Test
Lower Critical Value
-1.6802
p-Value
0.9975
Do not reject the null hypothesis
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.