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nika2105 [10]
3 years ago
8

HELP!!! PLEASE HELP ME!

Mathematics
1 answer:
Karolina [17]3 years ago
3 0
5+2+7
Hope this helps
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Refer to the accompanying data set and construct a ​% confidence interval estimate of the mean pulse rate of adult​ females; the
ivolga24 [154]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval of mean pulse rate for adult female is 71.98 <  \mu <  79.88

The 95% confidence interval of mean pulse rate for adult male is  62.89 <  \mu <  70.57

The correct option is  C

Step-by-step explanation:

  Generally the sample mean for Male pulse rate is mathematically represented as

       \= x_1   = \frac{\sum x_i }{n}

= >    \= x_1   = \frac{81 + 74 + \cdots + 59 }{40 }

= >    \= x_1   = 66.73

Generally the standard deviation for male pulse rate is mathematically represented as

      \sigma_1 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }

=>   \sigma_1 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (74 - 66.73 )^2+ \cdot + (59 - 66.73 )^2 }{40-1 } }

=>   \sigma_1 = 12.24

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma_1 }{\sqrt{n} }

=>    E = 1.96 *  \frac{12.4 }{\sqrt{40} }

=>    E =3.84

Generally 95% confidence interval is mathematically represented as  

      \= x_1 -E <  \mu <  \=x_1  +E

=>    66.73 -3.84 <  \mu < 66.73 +3.84

=>    62.89 <  \mu <  70.57

  Generally the sample mean for Female pulse rate is mathematically represented as

       \= x_2   = \frac{\sum x_i }{n}

= >    \= x_2   = \frac{81 + 94 + \cdots + 73 }{40 }

= >    \= x_2   = 75.93

Generally the standard deviation for Female  pulse rate is mathematically represented as

      \sigma_2 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }

=>   \sigma_2 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (94 - 66.73 )^2+ \cdot + (73 - 66.73 )^2 }{40 } }

=>   \sigma_2 = 12.73

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma_2 }{\sqrt{n} }

=>    E = 1.96 *  \frac{12.73 }{\sqrt{40} }

=>    E =3.95

Generally 95% confidence interval is mathematically represented as  

      \= x_2 -E <  \mu <  \=x_2  +E

=>    75.93 -3.95 <  \mu < 75.93 + 3.95

=>    71.98 <  \mu <  79.88

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The price of a book went up from $20 to $25. By how many percent did the price increase?
pogonyaev

Answer:

20%???

Step-by-step explanation:

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The point translated up 7 and left 3. This will cause the point to go from (-3,7) to (-6,14)
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The answer is the second one. "It is the diameter."
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Answer:

If you take it in terms of integers,

9+3v may or may not be greater or equal to 6. It depends on the value of the variable you put in.

For eg:- if you substitute the value for v as 2 then 9+3x2=15 which is greater than 6 but if you put in -1 for v then you will get 9+3x(-1)=6


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