A random sample of 85 sixth graders has a mean (x-bar) score of 265 with a stand
ID: 3257128 • Letter: A
Question
A random sample of 85 sixth graders has a mean (x-bar) score of 265 with a standard deviation, = 55, on a history assessment test. The test result prompts a school administrator to state that the mean score for the sixth graders on the test is more than 260. = 5%
What is the value of the test statistic (z-value)? Use two decimal places.
Answer:____?____
A random sample of 85 sixth graders has a mean (x-bar) score of 265 with a standard deviation, = 55, on a history assessment test. The test result prompts a school administrator to state that the mean score for the sixth graders on the test is more than 260. = 5%
What is the p-value? Use four decimal places.
Answer:______?______
A random sample of 85 sixth graders has a mean (x-bar) score of 265 with a standard deviation, = 55, on a history assessment test. The test result prompts a school administrator to state that the mean score for the sixth graders on the test is more than 260. = 5%
State the conclusion.
(a) Since the p-value is greater than the level of significance, there is insufficient evidence. Therefore; we reject the null hypothesis.
(b) Since the p-value is greater than the level of significance, there is insufficient evidence. Therefore; we fail to reject the null hypothesis.
(c) Since the p-value is less than the level of significance, there is insufficient evidence. Therefore; we fail to reject the null hypothesis.
(d) Since the p-value is less than the level of significance, there is sufficient evidence. Therefore; we reject the null hypothesis.
Answer:___?____
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
What are the null and alternate hypotheses?
H°: = 24
H1: 24
Ho: 24
H1: = 24
H°: = 24
H1: < 24
H°: = 24
H1: > 24
H°: = 24
H1: 22.1
Answer:___?____
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
What is the test statistic (z-value)? Use two decimal places.
Answer:___?____
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
What is the p-value? Use four decimal places.
Answer:___?___
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
State the conclusion.
(a) Since the p-value is greater than the level of significance, there is insufficient evidence. Reject the null hypothesis.
(b) Since the p-value is greater than the level of significance, there is insufficient evidence.Fail to reject the null hypothesis.
(c) Since the p-value is greater than the level of significance, there is sufficient evidence. Fail to reject the null hypothesis.
(d) Since the p-value is less than the level of significance, there is insufficient evidence.Fail to reject the null hypothesis.
(e) Since the p-value is less than the level of significance, there is sufficient evidence. Reject the null hypothesis.
Answer:__?___
(a) Since the p-value is greater than the level of significance, there is insufficient evidence. Therefore; we reject the null hypothesis.
(b) Since the p-value is greater than the level of significance, there is insufficient evidence. Therefore; we fail to reject the null hypothesis.
(c) Since the p-value is less than the level of significance, there is insufficient evidence. Therefore; we fail to reject the null hypothesis.
(d) Since the p-value is less than the level of significance, there is sufficient evidence. Therefore; we reject the null hypothesis.
Answer:___?____
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
What are the null and alternate hypotheses?
(a)H°: = 24
H1: 24
(b)Ho: 24
H1: = 24
(c)H°: = 24
H1: < 24
(d)H°: = 24
H1: > 24
(e)H°: = 24
H1: 22.1
Answer:___?____
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
What is the test statistic (z-value)? Use two decimal places.
Answer:___?____
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
What is the p-value? Use four decimal places.
Answer:___?___
When 200 convicted embezzlers were randomly selected, the mean (x-bar) length of prison sentence was found to be 22.1 months and the standard deviation was found to be = 8.6 months. Tim Evans is running for political office on a platform of being tougher on convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean different than 24 months. = 0.01
State the conclusion.
(a) Since the p-value is greater than the level of significance, there is insufficient evidence. Reject the null hypothesis.
(b) Since the p-value is greater than the level of significance, there is insufficient evidence.Fail to reject the null hypothesis.
(c) Since the p-value is greater than the level of significance, there is sufficient evidence. Fail to reject the null hypothesis.
(d) Since the p-value is less than the level of significance, there is insufficient evidence.Fail to reject the null hypothesis.
(e) Since the p-value is less than the level of significance, there is sufficient evidence. Reject the null hypothesis.
Answer:__?___
Explanation / Answer
1) H0: <= 260, Ha: > 260
Given n = 85, sample mean x = 265, = 55
z = (x-)/(/sqrt(n)) = (265-260)/(55/sqrt(85)) = 0.838140 = 0.83
= 5%, This is a right sided test, therefore p-value = 0.2033
Conclusion: (b) Since the p-value is greater than the level of significance, there is insufficient evidence. Therefore; we fail to reject the null hypothesis.
2)
(a) H°: = 24
(b) H1: 24
x = 22.1, = 8.6 , n = 200
z = (x-)/(/sqrt(n)) = (22.1-24)/(8.6/sqrt(200)) = -3.12
This is a two sided test, p-value = 0.0018
Conclusion, (e) Since the p-value is less than the level of significance, there is sufficient evidence. Reject the null hypothesis.
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