The figure below shows the dimensions of a city park in feet. Shannon thinks the area of city park is 73,084 square feet. Do you
agree or disagree with her? Justify your answer by finding the area of city park. Explain how you solved this problem.
1 answer:
You might be interested in
Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.
Step-by-step explanation: Please find the attached file for the solution
Answer:
Correct option: a. The null hypothesis is rejected.
Step-by-step explanation:
A statistical hypothesis test for difference between two means can be used to determine whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis.
The hypothesis is:
<em>H</em>₀: The mean time that families in Gotham in their current homes is not less than families in Metropolis,i.e. <em>μ</em>₁ ≥ <em>μ</em>₂.
<em>Hₐ</em>: The mean time that families in Gotham in their current homes is less than families in Metropolis,i.e. <em>μ</em>₁ < <em>μ</em>₂.
Given:
Assuming that the significance level of the test is, <em>α</em> = 0.10.
The test statistic is:
Here s = pooled standard deviation.
Compute the value of s as follows:
Compute the test statistic value as follows:
The test statistic value is -5.654.
The critical value of the test is,
*Use a <em>t</em>-table for the value.
*The negative sign is because of the test is left-tailed.
*Since the table does not consist the value for the degrees of freedom 248 use the next highest value.
Decision rule:
If the test statistic value is less than the critical value then the null hypothesis is rejected.
Test statistic = -5.654 < Critical <em>t</em> = -1.282.
Thus, the null hypothesis is rejected.
