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melamori03 [73]
2 years ago
15

Calculating the relative frequencies from the data given in the table. Choose all that correctly describe an association between

favorite subject and grade.
A higher percentage of 8th graders than 7th graders prefer History.

A higher percentage of 7th graders than 8th graders prefer English.

A higher percentage of 8th graders than 7th graders prefer Math/Science.

Mathematics
1 answer:
Leni [432]2 years ago
5 0

The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.

<h3>What is a conditional relative frequency?</h3>

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

We can find conditional relative frequency as:

For first cell:

= 38/116

= 0.327

= 32.75% (refer attached picture)

Similarly, we can find for other cells.

A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.

Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

#SPJ1

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√45 is the distance between which of the following complex numbers?
Schach [20]

Step-by-step explanation:

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a nice combination of whole square numbers would be 6 and 3.

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3 0
3 years ago
Please help me ASAP!
Snezhnost [94]

Answer:

y = 6.5

Step-by-step explanation:

     When triangles are similar, we can set up a proportion to compare the sides. I will have the "left" side on the bottom of the fractions, and the side I am solving for on the top.

 \frac{y}{6} =\frac{13}{12}

[Cross multiply]

12y = 78

y = 6.5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

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7 0
2 years ago
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
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