Homework SourseConduct a hypothesis test to verify if the claim that a bott
Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test. Here is the information below :
| Total | |
| Mean | 15.854 |
| Standard Error | 0.120751 |
| Median | 15.99 |
| Mode | 16.21 |
| Standard Deviation | 0.661381 |
| Sample Variance | 0.437425 |
| Kurtosis | 0.559167 |
| Skewness | -0.79289 |
| Range | 2.73 |
| Minimum | 14.23 |
| Maximum | 16.96 |
| Sum | 475.62 |
| Sample Size | 30 |
| Confidence Level(95.0%) | 0.246964 |
Solution
Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported
Null hypothesis: The bottle contains 16 ounces
Alternative hypothesis: The bottle contains less than 16 ounces
The logic is to test the significance of the difference of actual value to the hypothetical value (16)
t=(samplemean-hypotheicated mean)/SE
where SE = sd/sqrt(n) = 0.663381/sqrt(30)=0.1208
t= 15.854-16/0.1208= -1.209
Dont reject the null hypothesis
the claim is not valid.
