The circle graph shows Tommy Blox spent the money he earned last summer. If he spent $80 on entertainment, how much did Tommy ea
rn altogether?
1 answer:
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Answer:
1) we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002
2) P - value = 0.116435
Step-by-step explanation:
We are given;
Population mean; μ = $895
Sample mean; x' = $915
Population standard deviation; σ = $225
Sample standard deviation; s = $227.50
Sample size; n = 180
Let's state the hypothesis;
Null hypothesis;H0: μ ≤ $895
Alternative hypothesis;Ha: μ > $895
Now, the z-score formula is;
z = (x' - μ)/(σ/√n)
Thus, we are making use of the population standard deviation
z = (915 - 895)/(225/√180)
z = 20/16.7705
z = 1.193
From online p-value from z-score calculator attached, with α = 0.10, one tail, we have;
The P-Value is 0.116435
This is more than the significance level of 0.1, thus we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002
Answer:
represent the sample for the sample 1
represent the sample for the sample 2
represent the deviation for the sample 1
represent the deviation for the sample 2
represent the sample size for the group 1
represent the sample size for the group 2
And on this case if we create the system of hypothesis we have this:
Null hypothesis :
Alternative hypothesis:
Step-by-step explanation:
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".
On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Solution to the problem
We assume that we have the following statistics:
represent the sample for the sample 1
represent the sample for the sample 2
represent the deviation for the sample 1
represent the deviation for the sample 2
represent the sample size for the group 1
represent the sample size for the group 2
And on this case if we create the system of hypothesis we have this:
Null hypothesis :
Alternative hypothesis: