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Question 17 (1 point) A sample of 271 one-year-old baby boys in the United States had a mean weight of 22.4 pounds Assume the population standard deviation is 6.0 p...

Question

Question 17 (1 point) A sample of 271 one-year-old baby boys in the United States had a mean weight of 22.4 pounds Assume the population standard deviation is 6.0 pounds What is the upper bound of the 90% confidence interval for the mean lifetime of the components?Round vour answer to twotlecimal places (for example 24.28). Write only _ number as your answer:

Question 17 (1 point) A sample of 271 one-year-old baby boys in the United States had a mean weight of 22.4 pounds Assume the population standard deviation is 6.0 pounds What is the upper bound of the 90% confidence interval for the mean lifetime of the components? Round vour answer to twotlecimal places (for example 24.28). Write only _ number as your answer:



Answers

Overweight Men For a random sample of 60 over- weight men, the mean of the number of pounds that they were overweight was $30 .$ The standard deviation of the population is 4.2 pounds. $$
\begin{array}{l}{\text { a. Find the best point estimate of the average number of }} \\ {\text { excess pounds that they weighed. }} \\ {\text { b. Find the } 95 \% \text { confidence interval of the mean of }} \\ {\text { these pounds. }}\end{array} $$ $$ \begin{array}{l}{\text {c. Find the } 99 \% \text { confidence interval of these pounds. }} \\ {\text { d. Which interval is larger? Why? }}\end{array} $$

Mhm. Okay. This question were given the end 725 and X musical 275. It's so cute simply X summer. And Just to 75-85, Let's get this year 35 mm he said of moving to value. Mhm. For the 95 confidences Is 1.96. Get everything. Okay. Okay. And the 95% confidence interval about the population proportion of adults follow college football and then be given in this general over the people. That's what is? I don't have to discouraged. He persecute from the peak. Okay. Right. Which would give us Europe 3 5 Less than -1.96 spirit. You have been 35 times 655 over. And which is given to the 75? Yeah, That's 0.317. What's your .383? It's a buster miners.

Mhm. MS question given that end it's 40. What X is 1 25? Yeah. Mhm. And because Standard deviation as 12 and nine. Okay. Uh D T up over to value for 99 confidence interval. Thanks 39 degrees. Mhm. Freedom Okay. is 2.70 and uh value table T Alice. So now to calculate 99% confidence interval, the opposition, you can use this general, you know, it's funny that So plugging in the values that we know 20.5 plus or minus 2.7 earlier Times, Over the square root of 40. Well I should give us two distinct values for the upper and lower bounds. Um Expectedly She will be 1 14.98. Lower bound and the upper bound will be 126.02. So this is the region for the 99% Clinton's level.

Let us look at this question. Now we're here. It says that we have 1 95 boys. The sample mean and the sample standard deviation is given. And we want to use a 95% confidence level. And it says are the results very different from those found in exercise? Nine. Well, in exercise nine, these were the results. And over here, now we're getting the values. If we put it in the software, if you will get 31.76 to 33.63 31.76 2 33 something so to 33.63 So, yes, they are very different. And does it appear that boys and girls have different ways? Yes, definitely. We can see that these weights are a little higher than as compared to the girls. So, yes, they are different and they do have different rates.

This question were given that N is 25. Yeah. Okay. Okay. S squared jerry. Yeah, That's 3.97 and the confidence level. Okay. Okay. It's 95%. Okay. Now, yeah. You know That's your answer to five With 24°. Mhm. A freedom. Okay, is 39 quite four. And similarly for what's your plane nine 75 24° of freedom, It's 12.4. Mhm. So now we can calculate the lower bound of the interval using the formula and my swan times S squared over. Yeah, I love that too. Mhm. Which would give us Square root of 24. I'm 39. I'm sorry about 97 sorry over 39 point for Giving us 1.55. Yeah, that's laura bound. Yeah. Yes. The upper bound will be given by the formula square it Yes. And minus one squared. Okay. Yeah. One minus alpha two truck and bus. 24. Again, times you come at seven over 12.4, Which is a possibility to 77. Therefore the 95 mhm percent confidence interval about the population standard deviation these people and okay, deviation is 1.55. Okay. 2.77


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