5

A simple random sample of 12 iPhone's being sold over theInternet had the following prices, in dollars.287, 311, 262, 392, 313, 306, 276, 316, 286, 281, 342, 2...

Question

A simple random sample of 12 iPhone's being sold over theInternet had the following prices, in dollars.287, 311, 262, 392, 313, 306, 276, 316, 286, 281, 342, 291Assume that it is reasonable to believe that the population isapproximately normal and the population standard deviation is 51.What is the upper bound of the 95% confidence interval for the meanprice for all phones of this type?Round your answer to one decimal places (for example: 319.4). Writeonly a number as your answer. Do not wr

A simple random sample of 12 iPhone's being sold over the Internet had the following prices, in dollars. 287, 311, 262, 392, 313, 306, 276, 316, 286, 281, 342, 291 Assume that it is reasonable to believe that the population is approximately normal and the population standard deviation is 51. What is the upper bound of the 95% confidence interval for the mean price for all phones of this type? Round your answer to one decimal places (for example: 319.4). Write only a number as your answer. Do not write any units.



Answers

Assume the sample is from a normally distributed population and construct the indicated confidence intervals for $(a)$ the population variance $\sigma^{2}$ and $(b)$ the population standard deviation $\sigma .$ Interpret the results. A magazine includes a report on the prices of subcompact digital cameras. The article states that 11 randomly selected subcompact digital cameras have a sample standard deviation of $\$ 109 .$ Use an $80 \%$ level of confidence.

Brought him 17 number off sample is equal to 14. Sample standard deviation in 3.9. The confidence clever is a 0.299 and the alpha is one minus C over to which is over four or five. So the critical value from the table off the high school distribution extra square off one liners, all for over two is 3.565 on Chi square, off over two is equal to 29.8 819 The boundaries off the confidence. Confidence in the interval for the standard deviation is, uh, end minus one over chi square off Alpha over two times s, which is 2.5751 and the other boundary in minus one off Chi Square for minus all over two times asked equal to 7.4474 eso The boundaries for the variance is the square off this value, which is 2.5751 square 7.4474 squared, which is 6.631 and 55.46 14

For this question we've been given. Our sample size is 20. This means our degrees of freedom would become 19. Since we're finding a 90% confidence in terrible R L four becomes 3.1 and others were given the samples. You can confirm it the sample standard deviation Using this formula here on, if you calculated, you'll see that our sample standard deviation for this question is 20.2844 Not every found these values. We can find the critical values using the G table, the critical values we find archives for alphabet toe guy square one minus out of it. That's for Alphabet. Do in our case would become guy scores 0.5 with decrease of freedom 19 If you didn't g table, this value comes to 30.144 chi square one minus a little By doing our case would be guys for a 0.95 with degrees of freedom 19. If you take the G table, this value is 10.117 Other reformed the critical values. We can move on to calculating the confidence interval for population variance. We used this expression here to calculate the populate, the confidence interval for population variance. So see, duping the values we have in the expression we get this expression here simplifying this expression further we get the lower boundary off our confidence interval for the stand off the population variance as 259.3445 and the upper boundary is 772.727 Now that we found the confidence interval for population variance, we can use that to calculate the confidence interval for our standard deviation. To do so, we take the square root off the confidence in government we found for the population variance taking squaring off the confidence interval for a population variance we get this year and simplifying it further, we get the lower limit for our conference and terrible for this population standard deviation A 16.1042 which is square root off 259.34 or five and the upper limit is 27.7980 which is the square root off 772.7%. So this here is how we calculate the confidence interval for the population variance on the population standard deviation

Number 20. So the critical value from table six off degrees of freedom, then minus one, which is 29. So the chi square off one minus Alfa is equal to 17.7 or eight and the chi square off also is 42.557 The boundaries for the standard deviation. Eyes equal to the square. Root off n minus one over chi square off Alfa over to times as 30 minus 1/42 300.557 Time 3600 which approximately equal to 297 1.78 and other boundaries in minus one over X square or pie square minus off over two times. Yes, which is 30 minus 1/17 300.708 Time 36 years You. So this is approximately equal. 24606.98 The bombers for the variance will be the square value off these values, which is 8831476 and 212 to 4 to 65

So in this problem, we're being asked to construct a confidence interval using the given information in a word problem. Now first, just to recap when constructing confidence Interval using a T distribution, which is when we do not know the sample standard. When we do not know the population standard deviation sigma we first need to find the TC value and once we do that, we can use it to find the margin of error and finally use that to find our confidence interval. Now, when given a word problem, the first thing we need to do is read, read through and extract all the relevant information. So just to read through. So we have microwave repairs in a random sample of 13 microwave ovens. So from that line, we know the end equals 13. Sample size is 13. The main repair costs was $80 so the mean is $80 and the standard deviation was 13 50. And so this is the sample standard deviation and its 13 50 now for the confidence level. We know from the question that we're trying to find a 95% confidence interval, so we will set it at 950.95 Now, when given a set up like this, the first thing we need to do is determine the T T value, which weaken do by knowing the confidence level as well as the degrees of freedom. And the degrees of freedom is simply the sample size minus one, which is 13 minus one, which is 12. Now flip the table five in your appendix B, and you can see that the T value for 12 degrees of freedom at 120.95 confidence level is 2.179 Now, to find the margin of error, we know that the margin of error is teeth. Times s over the square root of n and plugging in our values. That is 2.179 times 13 50 over square root of 13. And that's equal to approximately 8.159 Now. To find our confidence interval, we know our confidence. Interval is the average minus that margin of error to the average, plus the margin of error. So to find those values, we have 80 minus 8.159 which is equal to 71.841 to 80 plus 8.159 which is equal to 88.159 And there you go, we have a confidence interval of 71 0.841 Thio 88.159 And that's your final answer. And we also know that our margin of error is 8.159


Similar Solved Questions

5 answers
Point)Calculate r' (t) and T(t) , wherer(t) = (6 + 2t, -4t,5t _ 1) .r' (t) T(t)
point) Calculate r' (t) and T(t) , where r(t) = (6 + 2t, -4t,5t _ 1) . r' (t) T(t)...
5 answers
When heat is added to a pure liquidthe temperature increases and the entropy increases the temperature increases and the entropy decreases the temperature increases and the entropy is unchanged the temperature is unchanged and the entropy increases
When heat is added to a pure liquid the temperature increases and the entropy increases the temperature increases and the entropy decreases the temperature increases and the entropy is unchanged the temperature is unchanged and the entropy increases...
5 answers
A- Classify and solve the following differential equations Y""-Y-Jxl+2eX+lOx+8B- For the struchire shown in the fieurc below Find the deflection equation (s)
A- Classify and solve the following differential equations Y""-Y-Jxl+2eX+lOx+8 B- For the struchire shown in the fieurc below Find the deflection equation (s)...
5 answers
12. Determine si la serie28' converge 0 ' diverge.
12. Determine si la serie 28' converge 0 ' diverge....
5 answers
Sinh? x cosh x dxSelect one:cosa" $ 4 C00 b; Jina" '+cCosa" "+0Jn" T Cnone
sinh? x cosh x dx Select one: cosa" $ 4 C 0 0 b; Jina" '+c Cosa" "+0 Jn" T C none...
5 answers
Cakculate V x V il V = (2rv + 3vl-)= + (sinj 3-)v + (irve):
Cakculate V x V il V = (2rv + 3vl-)= + (sinj 3-)v + (irve):...
5 answers
Calculate the ratio of cation-anion distance to anion-anion distance in an anion coordination tetrahedron.
Calculate the ratio of cation-anion distance to anion-anion distance in an anion coordination tetrahedron....
5 answers
Please shovv allvvork: WVhich bulb is the dimmest in the circuit bel IOv?10 Q200600bulbbulb 2bulb 324 VOption 1: Bulb 3 Option 2: Bulb 'ption 3. Bulb ption 4: All three bulbs have the same brightness
Please shovv allvvork: WVhich bulb is the dimmest in the circuit bel IOv? 10 Q 200 600 bulb bulb 2 bulb 3 24 V Option 1: Bulb 3 Option 2: Bulb 'ption 3. Bulb ption 4: All three bulbs have the same brightness...
5 answers
Draw a heating graph for converting Dry Ice to carbon dioxide gas.
Draw a heating graph for converting Dry Ice to carbon dioxide gas....
5 answers
Verify the identity: cotz(t) cos2(t) cot2(t) cos2(t)cot2(t) cos2(t)cos2(t)sin2(t)cos" 2(t)~cos?(ty(Need Help?Rud
Verify the identity: cotz(t) cos2(t) cot2(t) cos2(t) cot2(t) cos2(t) cos2(t) sin2(t) cos" 2(t) ~cos?(ty( Need Help? Rud...
5 answers
Logzs 125 = (10 points)Convert t0 . L cquation:followingf(x) -14(5") 1 where X 0.8Conventlogarithmic equation:
logzs 125 = (10 points) Convert t0 . L cquation: following f(x) -14(5") 1 where X 0.8 Convent logarithmic equation:...
5 answers
Your sock drawer has 10 folded pairs of socks. with pairs of white. pairs of black; and 4 pairs of gray socks. What is the probability that you will first select and remove black pair. then select either white or gray? (2 marks)
Your sock drawer has 10 folded pairs of socks. with pairs of white. pairs of black; and 4 pairs of gray socks. What is the probability that you will first select and remove black pair. then select either white or gray? (2 marks)...
5 answers
For the following function solve both f' (X) = 0 and f"(x) = 0 for x f(x) = x(x + 3)33f' (x) = 0 when x =(Use a comma to separate answers as needed Simplify your answer ,f"' (x) = 0 when X (Use a comma to sepetate answers as needed Simplify your answer }
For the following function solve both f' (X) = 0 and f"(x) = 0 for x f(x) = x(x + 3)3 3 f' (x) = 0 when x = (Use a comma to separate answers as needed Simplify your answer , f"' (x) = 0 when X (Use a comma to sepetate answers as needed Simplify your answer }...
5 answers
Question 9 (2 points) The tetanus vaccine Is an example ofaToxoid vaccineInactivated vaccineDNA vaccineLive attenuated vaccineQuestion 10 (2 points) Vaccinas are safc; have saved countless Vives. and are recommended by the Center for Discase Control:True Falsc
Question 9 (2 points) The tetanus vaccine Is an example ofa Toxoid vaccine Inactivated vaccine DNA vaccine Live attenuated vaccine Question 10 (2 points) Vaccinas are safc; have saved countless Vives. and are recommended by the Center for Discase Control: True Falsc...
3 answers
Fix n € N. Prove the following identity by counting in two ways.4n = k==03k
Fix n € N. Prove the following identity by counting in two ways. 4n = k==0 3k...

-- 0.023637--