Dr. Betz, a vet, is running a free rabies clinic. He estimates that it will take him 12 minutes for each animal he treats. Dr. B
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Answer:
Test statistic (t-value) of this one-mean hypothesis test is -2.422.
Step-by-step explanation:
We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.
We have to test if the amount of TV in New York City is less than the national average.
Let Null Hypothesis, :
3 {means that the amount of TV in New York City is less than the national average}
Alternate Hypothesis, :
> 3 {means that the amount of TV in New York City is more than the national average}
The test statistics that will be used here is One-sample t-test statistics;
T.S. = ~
where, = sample mean time = 2.5 hours per week
= sample standard deviation = 0.09 hours
n = sample size = 19
So, <u>test statistics</u> = ~
= -2.422
Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.
Answer:
There is not sufficient evidence to support the claim μ > 54.4.
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is and the system of hypothesi on this case are:
Null Hypothesis:
Alternative hypothesis:
On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:
There is not sufficient evidence to support the claim μ > 54.4.