Julio, Kira, and Ida each want to buy art supplies. Julio wants to spend between $6 and $7. Kira wants to spend between $4 and $
6. Ida wants to spend between $8 and $9. Drag items to the box under each person's name to show what they could have bought. Julio, Kira, and Ida each want to buy art supplies. Julio wants to spend between $6 and $7. Kira wants to spend between $4 and $6. Ida wants to spend between $8 and $9. Drag items to the box under each person's name to show what they could have bought.
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Answer:
Explained below.
Step-by-step explanation:
The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².
(1)
The hypothesis for both the test can be defined as:
<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.
<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.
(2)
A Chi-square test will be used to perform the test.
The significance level of the test is, <em>α</em> = 0.05.
The degrees of freedom of the test is,
df = n - 1 = 55 - 1 = 54
Compute the critical value as follows:
Decision rule:
If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.
(3)
Compute the test statistic as follows:
The test statistic value is, 68.184.
Decision:
The null hypothesis will not be rejected at 5% level of significance.
Conclusion:
The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.