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23.03.2021 •
Mathematics
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Homework: Chapter 8 HW
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Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 462 randomly selected adults showed that 65%
of them would erase all of their personal information online if they could. Complete parts (a) and (b) below.
a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
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(Type an integer or a decimal. Do not round.)
brrect: 2
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Ответ:
Horizontal axis with 1, 2, and 3 standard deviations above the mean are 51.6, 56.2, 60.8
Horizontal axis with 1, 2, and 3 standard deviations below the mean are 42.4, 37.8, 33.2
Step-by-step explanation:
A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6
Mean, M ⇒ 47Standard deviation ⇒ 4.6From this information, you have to scale the horizontal axis with the mean of this distribution and values at 1, 2, and 3 standard deviations above and below the mean.
Horizontal axis with 1, 2, and 3 standard deviations above the mean :
1 standard deviation above the mean ⇒ M + SD
⇒ 47 + 4.6 = 51.6
2 standard deviations above the mean ⇒ M + 2SD
⇒ 47 + (2 × 4.6) = 56.2
3 standard deviations above the mean ⇒ M + 3SD
⇒ 47 + (3 × 4.6) = 60.8
Horizontal axis with 1, 2, and 3 standard deviations below the mean :
1 standard deviation below the mean ⇒ M - SD
⇒ 47 - 4.6 = 42.4
2 standard deviations below the mean ⇒ M - 2SD
⇒ 47 - (2 × 4.6) = 37.8
3 standard deviations below the mean ⇒ M - 3SD
⇒ 47 - (3 × 4.6) = 33.2