Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
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.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
