Question

The mean age of Senators in the 109th Congress was 60.35 years. A random sample of...

The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At α= 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington?

Which of the following is a correct conclusion:

a) There is sufficient evidence to warrant rejection of the claim that state senators are on average younger than the Senators in Washington

b) There is not sufficient evidence to warrant rejection of the claim that state senators are on average younger than the Senators in Washington

c) The sample data support the claim that state senators are on average younger than the Senators in Washington

d) There is not sufficient sample evidence to support the claim that state senators are on average younger than the Senators in Washington

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The mean age of Senators in the 109th Congress was 60.35 years. A random sample of...
The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At \alpha α = 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington? What is the critical value? Round your answer to the nearest hundredths.
A random sample of 40 senators from various states had an average age of 55.4 years,...
A random sample of 40 senators from various states had an average age of 55.4 years, and the population standard deviation is 6.5 years. α = .05, is there sufficient evidence to conclude that senators are on average younger than 60.35? What is the value of the standardized test statistic?
The mean salary of federal government employees on the General Schedule is $59,593. The average salary...
The mean salary of federal government employees on the General Schedule is $59,593. The average salary of 30 state employees who do similar work is $58,800 with σσ= $1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees? The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the...
The average age of senators in the 108th Congress was 59.5 years. If the standard deviation...
The average age of senators in the 108th Congress was 59.5 years. If the standard deviation was 11.5 years, find the z scores corresponding to the oldest and youngest senators: Robert C. Byrd (D, WV), 86, and John Sununu (R, NH), 40. Construct a boxplot for these numbers of state sites for Frogwatch USA. Is the distribution symmetric? 421 395 314 294 289 253 242 238 235 199
State the final conclusion. original​ claim: the mean is no more than 12 initial​ conclusion: reject...
State the final conclusion. original​ claim: the mean is no more than 12 initial​ conclusion: reject the null hypothesis Choose the correct answer A. there is sufficient evidence to support the claim that the mean is no more than 12 B. there is not sufficient evidence to warrant rejection of the claim that the mean is no more than 12 C. there is sufficient evidence to warrant rejection of the claim that the mean is no more than 12 D....
Assume that a simple random sample has been selected and test the given claim. Use the?...
Assume that a simple random sample has been selected and test the given claim. Use the? P-value method for testing hypotheses. Identify the null and alternative ?hypotheses, test? statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=78, x=35.4 years, and s=11.5 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an...
Assume that a simple random sample has been selected and test the given claim. Use the​...
Assume that a simple random sample has been selected and test the given claim. Use the​ P-value method for testing hypotheses. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77​, x=35.8 ​years, and s=11.5 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an...
Given the sample mean = 21.15, sample standard deviation = 4.7152, and N = 40 for...
Given the sample mean = 21.15, sample standard deviation = 4.7152, and N = 40 for the low income group, Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level. a) Identify the correct alternative hypothesis: p=21.21p=21.21 μ>21.21μ>21.21 μ=21.21μ=21.21 μ<21.21μ<21.21 p<21.21p<21.21 p>21.21p>21.21 Give all answers correct to 3 decimal places. b) The test statistic value is:      c) Using the Traditional method, the critical...
You wish to test the following claim (Ha) at a significance level of α-0.05. Ho: u...
You wish to test the following claim (Ha) at a significance level of α-0.05. Ho: u = 65.4 Ha: u > 65.4 you believe the population is normally distributed, but you do not know the standard deviation. you obtain a sample size n=20 with mean M=71.7 and a standard deviation of SD =7.2. what is the p-value for this sample? the p-value is less than or greater than α? This p-value leads to a decision to... reject the null accept...
A random sample of 24 chemists from Washington state shows an average salary of $43261 with...
A random sample of 24 chemists from Washington state shows an average salary of $43261 with a standard deviation of $972. A random sample of 24 chemists from Florida state shows an average salary of $42312 with a standard deviation of $952. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At αα =0.05 is this chemist correct? Let Washington be sample 1 and Florida be sample 2....