Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To determine the correct null and alternate hypotheses for the given scenario, we need to follow a systematic approach.
1. Understanding the Claim:
Jonathan believes that his football team buddies watch less television than the average American.
2. Identifying the Population Mean:
The average time Americans watch television each weekday is given as 2.7 hours, with a standard deviation of 0.2 hours.
3. Sample Data:
Jonathan gathered data from 40 football teammates and calculated their mean television watching time to be 2.3 hours.
4. Formulating Hypotheses:
- The null hypothesis ( [tex]\(H_0\)[/tex] ) is a statement that there is no effect or no difference, and it is generally presumed to be true until statistical evidence indicates otherwise. In this context, the null hypothesis should reflect that the football team buddies do not watch less television than the average American, meaning their average [tex]\( \mu \)[/tex] is equal to 2.7 hours.
- The alternate hypothesis ( [tex]\(H_a\)[/tex] ) is what we want to test for; it represents Jonathan's belief. Therefore, it should state that the football team buddies watch less television than the average American, meaning their average [tex]\( \mu \)[/tex] is less than 2.7 hours.
Based on these points:
- The null hypothesis [tex]\( H_0 \)[/tex]: [tex]\( \mu = 2.7 \)[/tex]
- The alternate hypothesis [tex]\( H_a \)[/tex]: [tex]\( \mu < 2.7 \)[/tex]
Thus, the correct pair of hypotheses is:
[tex]\[ H_0: \mu = 2.7 \][/tex]
[tex]\[ H_a: \mu < 2.7 \][/tex]
From the given options, the correct answer is:
[tex]\[ H_0: \mu = 2.7 ; H_a: \mu < 2.7 \][/tex]
So, among the listed options, it should be:
[tex]\[ H_0: \mu = 2.7 ; H_a: \mu < 2.7 \][/tex]
1. Understanding the Claim:
Jonathan believes that his football team buddies watch less television than the average American.
2. Identifying the Population Mean:
The average time Americans watch television each weekday is given as 2.7 hours, with a standard deviation of 0.2 hours.
3. Sample Data:
Jonathan gathered data from 40 football teammates and calculated their mean television watching time to be 2.3 hours.
4. Formulating Hypotheses:
- The null hypothesis ( [tex]\(H_0\)[/tex] ) is a statement that there is no effect or no difference, and it is generally presumed to be true until statistical evidence indicates otherwise. In this context, the null hypothesis should reflect that the football team buddies do not watch less television than the average American, meaning their average [tex]\( \mu \)[/tex] is equal to 2.7 hours.
- The alternate hypothesis ( [tex]\(H_a\)[/tex] ) is what we want to test for; it represents Jonathan's belief. Therefore, it should state that the football team buddies watch less television than the average American, meaning their average [tex]\( \mu \)[/tex] is less than 2.7 hours.
Based on these points:
- The null hypothesis [tex]\( H_0 \)[/tex]: [tex]\( \mu = 2.7 \)[/tex]
- The alternate hypothesis [tex]\( H_a \)[/tex]: [tex]\( \mu < 2.7 \)[/tex]
Thus, the correct pair of hypotheses is:
[tex]\[ H_0: \mu = 2.7 \][/tex]
[tex]\[ H_a: \mu < 2.7 \][/tex]
From the given options, the correct answer is:
[tex]\[ H_0: \mu = 2.7 ; H_a: \mu < 2.7 \][/tex]
So, among the listed options, it should be:
[tex]\[ H_0: \mu = 2.7 ; H_a: \mu < 2.7 \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.