Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
a. Therefore the expected values are 8,8,8,8,8,8,8
b. The df = n-1= 7-1= 6
The critical value at ∝= 0.05 with 6 d.f is χ²≥χ²(d.f) 0.05= 12.59
c. The null hypothesis is the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week
against the claim the nights for the highest number of students doing the majority of their homework do not occur with equal frequencies during a week.
d. χ² = 4.25
e.Results : accept the null hypothesis
ei = 8,8,8,8,8,8,8
df = 6
H0: σ²1 ≤ σ²2 against the claim Ha: σ²1> σ²2
The critical region is χ²≥χ²(0.05) 6= 12.59
The calculated value of χ² = 4.25 < χ²(0.05) 6= 12.59 therefor accept the null hypothesis.
Step-by-step explanation:
Sunday Monday Tuesday Wednesday
No of Students 11 8 10 7
Thursday Friday Saturday
10 5 5
a. The expected values are = Total number /no of days = 56/7= 8
Therefore the expected values are 8,8,8,8,8,8,8
b. The df = n-1= 7-1= 6
The critical value at ∝= 0.05 with 6 d.f is χ²≥χ²(d.f) 0.05= 12.59
c. The null hypothesis is the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week
against the claim the nights for the highest number of students doing the majority of their homework do not occur with equal frequencies during a week
H0: σ²1 ≤ σ²2 against the claim Ha: σ²1> σ²2 as the goodness of fit test is always right tailed
d.
Days No.of Students
Observed Expected oi-ei (oi-ei)² (oi-ei)²/ei
Sunday 11 8 3 9 1.125
Monday 8 8 0 0 0
Tuesday 10 8 2 4 0.5
Wednesday 7 8 -1 1 0.125
Thursday 10 8 2 2 0.25
Friday 5 8 -3 9 1.125
Saturday 5 8 -3 9 1.125
∑ 4.25
e. since the calculated value of χ² = 4.25 is less than the critical value of
χ²= 12.59 we fail to reject H0 and conclude that the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
