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liraira [26]
3 years ago
13

HELP PLEASE!!

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:it is d i hope that helps

Step-by-step explanation:

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A randomized trial tested the effectiveness of diets on adults. Among 36 subjects using Diet 1, the mean weight loss after a yea
seropon [69]

Answer:

The 95%  confidence interval is

           0.45 <  \mu_1 - \mu_2  < 5.35

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1   =  36

   The first  sample mean is  \= x_1  =  3.5

   The first standard deviation is  \sigma_1  =  5.9 \ pounds

   The second  sample size is n_2 =  36

    The second  sample mean is  \= x_2 =  0.6

    The second  standard deviation is \sigma  =  4.4

Generally the degree of freedom is mathematically represented as

     df =  \frac{ [ \frac{s_1^2 }{n_1 }  + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2  }

=>  df =  \frac{ [ \frac{5.9^2 }{34 }  + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2  }

=>  df =63

Generally the standard error is mathematically represented as

      SE =  \sqrt{ \frac{s_1 ^2 }{n_1}  + \frac{s_2^2 }{ n_2 } }

=>  SE =  \sqrt{ \frac{ 5.9 ^2 }{ 36 }  + \frac{ 4.4^2 }{36} }

=>  SE = 1.227

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 t distribution table the critical value  of   at a degree of freedom of is  

     t_{\frac{\alpha }{2}, 63  } =  1.998

Generally the margin of error is mathematically represented as

        E =  t_{\frac{\alpha }{2}, 63  } *  SE

=>    E =  1.998 * 1.227

=>    E =  2.45

Generally 95% confidence interval is mathematically represented as  

      (\= x_1 - \x_2) -E <  \mu

 => (3.5  - 0.6) - 2.45 <  \mu_1 - \mu_2  < (  3.5  - 0.6)  + 2.45

=>   0.45 <  \mu_1 - \mu_2  < 5.35

     

8 0
2 years ago
Write 90 as a product of primes.<br> Use index notation where appropriate.
Iteru [2.4K]

Answer:

2 × 3 × 3 × 5

Step-by-step explanation:

2 x 3 = 6

            6 x 3 = 18

                         18 x 5 = 90

7 0
3 years ago
How do you write 550% as a fraction?
jenyasd209 [6]

Answer:

Answer is 11/2.

Step-by-step explanation:

I hope it's helpful!

3 0
3 years ago
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Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and he
OLEGan [10]

Answer: The slide will have a height of <u>6</u> feet.

Step-by-step explanation:

Given: A slide has a width of 3.5 inches and height of 3 inches.

For required slide , width = 7 feet]

To keep the slide proportional to the model,

\dfrac{\text{height of the required slide}}{\text{height of the slide }}=\dfrac{\text{width of required slide}}{\text{width of slide}}

\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=\dfrac{7}{3.5}\\\\\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=2\\\\\Rightarrow\ \text{height of the required slide}=3\times2 =6\ \text{feet}

hence, the slide will have a height of <u>6</u> feet.

3 0
3 years ago
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PLZ HALP IT LAST QUESTION PLS D: and ty if u do :D
Amiraneli [1.4K]

Answer:

The answer is 28b + 28!

Step-by-step explanation:

You multiply 7 by everything in the parentheses!

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3 years ago
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