Herman is standing on a ladder that is partly in a hole.He starts out on a rung that is 6 feet under ground ,climbs up 14 feet,t
2 answers:
Answer:
Herman's final position is -3 feet relative to the ground level.
Step-by-step explanation:
As given:
Herman starts out on a rung that is 6 feet under ground ,climbs up 14 feet,then climbs down 11 feet.
The initial position is 6 feet(negative value) under ground, then up 14 feet (plus value)and down again 11 feet(negative value).
We take positive value when position is above the initial level and negative when the position is below the level.
The final position relative to ground level is:
=
Therefore, Herman's final position is -3 feet relative to the ground level.
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Answer:
P-value (t=2.58) = 0.0066.
Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the population mean μ exceeds 2.4.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=45.
The sample mean is M=2.5.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the population mean μ exceeds 2.4.