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anonymous

  • one year ago

Carl conducted an experiment to determine if there is a difference in the mean body temperature between men and women. He found that the mean body temperature for a sample of 100 men was 91.1 with a population standard deviation of 0.52 and the mean body temperature for a sample of 100 women was 97.6 with a population standard deviation of 0.45. Assuming the population of body temperatures for men and women is normally distributed, calculate the 98% confidence interval and the margin of error for the mean body temperature for both men and women.

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  1. anonymous
    • one year ago
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    I understand that the z-score formula needs to be used I'm just not sure exactly how to use it

  2. nincompoop
    • one year ago
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    |dw:1439414198837:dw|

  3. anonymous
    • one year ago
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    x is the 1.5?

  4. nincompoop
    • one year ago
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    no I am just showing you graphically how the problem is interpreted in the graph for a normally distributed curve

  5. anonymous
    • one year ago
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    Ohhh, okay

  6. anonymous
    • one year ago
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    I know the formula is z = (x - 91.1)/(.52) but I don't know how to go from there

  7. nincompoop
    • one year ago
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    \(\large \bar x \pm Z \frac{\sigma }{\sqrt{n}}\)

  8. anonymous
    • one year ago
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    Whs is x? The probability?

  9. anonymous
    • one year ago
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    What*

  10. nincompoop
    • one year ago
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    :( x bar is your mean remember?

  11. nincompoop
    • one year ago
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    http://www.stat.yale.edu/Courses/1997-98/101/confint.htm

  12. nincompoop
    • one year ago
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    we based it off sample mean since we do not have the population mean \(\mu \)

  13. nincompoop
    • one year ago
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    now just solve your z

  14. anonymous
    • one year ago
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    Z-score for a 98% confidence interval is 2.33 right?

  15. nincompoop
    • one year ago
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    I didn't solve it, how did you get that ?

  16. nincompoop
    • one year ago
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    common value?

  17. anonymous
    • one year ago
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    In my notes, I copied down a list of the different scores. Yeah, a common value

  18. nincompoop
    • one year ago
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    oaky then use the rest of the formula to get the confidence interval and error

  19. nincompoop
    • one year ago
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    |dw:1439415558976:dw|

  20. nincompoop
    • one year ago
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    |dw:1439415585464:dw|

  21. anonymous
    • one year ago
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    90.9784 91.22116

  22. anonymous
    • one year ago
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    isn't .52/10 is .052

  23. nincompoop
    • one year ago
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    true haha

  24. anonymous
    • one year ago
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    \[97.6\pm2.33\times\frac{ .45 }{ \sqrt{100} }\]

  25. anonymous
    • one year ago
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    And that's for women?

  26. anonymous
    • one year ago
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    97.49515 = 97.5 97.70485 = 97.7

  27. nincompoop
    • one year ago
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    correct

  28. anonymous
    • one year ago
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    So those were the confidence intervals?

  29. nincompoop
    • one year ago
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    correct

  30. anonymous
    • one year ago
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    So then what's the margin of error?

  31. nincompoop
    • one year ago
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    you use almost the same formula but without the sample mean

  32. anonymous
    • one year ago
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    I'm sorry if I'm being difficult, I'm studying for my final and this is the only section I didn't understand

  33. anonymous
    • one year ago
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    So the margin of error is .12116 for men and .10485 for women?

  34. anonymous
    • one year ago
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    Thank you so much for your help, I think I actually get it now :))

  35. nincompoop
    • one year ago
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    btw, what book do you use for statistics?

  36. anonymous
    • one year ago
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    I'm in Algebra 2 Honors, Statistics is just a couple chapters we cover

  37. nincompoop
    • one year ago
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    ah

  38. nincompoop
    • one year ago
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    if you want a book, which I think you are going to need let me know you will retake this in college again and you should even though you took AP or honors because it is a little more in-depth quite intense.

  39. anonymous
    • one year ago
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    I'm taking Calc and AP Stats next year so if you have any suggestions for books that'd be great

  40. anonymous
    • one year ago
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    Please let me know when you have it so I can delete it off of here :)

  41. nincompoop
    • one year ago
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    k

  42. nincompoop
    • one year ago
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    sent you a link

  43. anonymous
    • one year ago
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    Thank you so much! :)

  44. nincompoop
    • one year ago
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    if for some reason you want to use the DVD or video lectures and have difficulty playing them, use MPlayerX program, you won't need to worry about codex or anything to use it and can play almost every video file format known to mankind.

  45. anonymous
    • one year ago
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    I will probs only use the book, but thank you for everything :)

  46. anonymous
    • one year ago
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    @nincompoop it says I need to rate you or you don't get your "rewards" and that there should be a bell moving around but there is no bell

  47. nincompoop
    • one year ago
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    There is no need to rate me, I am more concerned with you understanding the subject matter. Let us skip that portion for now and try again next time.

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