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Afina-wow [57]
3 years ago
7

A study wanted to compare the 50 states food expenditures. The researchers measured the amount spent by the state's entire popul

ation for food in grocery stores and total amount spent on restaurant food. From their 50 data points (Washington DC not in the study), the researchers calculated a correlation of 0.988. Based on this study, can we say that individuals who spend a lot on groceries also spend a lot at restaurants?
What possible lurking variable is there in this study?

A. The amount of money spent on food varies from person to person
B. How much money a person makes
C. The population of a state
D. Type of restaurant - fast food or more expensive
E.Alcohol costs
Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

D - Type of restaurant - fast food or more expensive.

Step-by-step explanation:

By a lurking variable we mean or refer to any variable that is unknown and not controlled for or out of individual control. When there is one or more lurking variables in any study it could results in accidental bias. According to Soares (1985), lurking variables are intrinsic and they are not actually caused by “accidents” in real sense. Hence he suggests that “lurking-variable bias” is a more suitable name for accidental bias.

Concluding that individuals who spend a lot on groceries also spend a lot at restaurants could be misleading in the sense that, groceries may have a more uniform price than restaurant regardless of your social class. For instance, type of restaurant could determine food cost. At some restaurant, food is quite expensive at another food is quite affordable. I may not to go any groceries store in a month but I patronize restaurant to eat daily.

It is also possible I don't patronize restaurants! And yet, I am frequent at groceries store.

In real sense, what I spent at groceries might be nothing compare to what I spend at restaurant and vice versa. Hence, the possible lurking variable is type of restaurant - fast food or more expensive which is unknown and not controlled for.

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It’s not B can someone plz help me with this it will be appreciated I’m really confused
Viktor [21]

Answer:

83.4

Step-by-step explanation:

Area of a Regular Polygon: L (of side) times apothem (height) x 1/2

L : 13.9

Looking at the triangle we can assume the height would be 12 since its logical that 3 of the 4 lines can fit in the middle of the triangle.

H: 12

13.9 x 12 = 166.8

166.8/2 = 83.4

3 0
3 years ago
The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c
Kitty [74]

Answer:

The 90% confidence interval  -49.8

The null hypothesis is  H_o : \mu_1 = \mu_2

The alternative hypothesis H_a  :  \mu_1 <  \mu_2

The distribution test statistics is t = -3.222

The rejection region is  p-value < \alpha

The decision rule is reject the null hypothesis

The conclusion is

      There is sufficient evidence to conclude that there are more passengers riding the 8:30  train

The p-value  is  p-value  =0.000951

Step-by-step explanation:

From the question we are told that

    The first sample size n_1 = 30

    The first sample mean is  \= x _1 = 323

    The first standard deviation is s_1 = 41

    The second sample size is n_2 = 45

    The second sample mean is  \=x_2 = 356

    The second standard deviation is s_2 = 45

given that the confidence level is 90% then the level of significance is mathematically represented as

          \alpha  = (100 -90)\%

         \alpha  = 0.10

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

   Z_{\frac{\alpha }{2} } = 1.645

Generally the pooled variance is mathematically represented as

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

      s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}

     s^2 = 1888.34

Generally the standard error is mathematically represented as

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

=>  SE =  \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45}  }

=>   SE =  10.24

Generally the margin of error is mathematically evaluated as  

      E =  Z_{\frac{\alpha }{2} } * SE

       E =  1.645* 10.24

       E = 16.85

Generally the 90% confidence interval is mathematically represented as

     \=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E

     323 -356 -16.84

     -49.8

The null hypothesis is  H_o : \mu_1 = \mu_2

The alternative hypothesis H_a  :  \mu_1 <  \mu_2

Generally the test statistics is mathematically represented as

     t =  \frac{\= x_1 - \=x_2 }{SE}

=>   t = \frac{323-356}{10.24}

=>   t = -3.222

Generally the degree of freedom is mathematically represented as

     df =  n_1+n_2 -2

      df = 30 + 45 -2

     df = 73

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

    The value is  p-value  =0.000951

Here the level of significance is  \alpha =  5\%  =  0.05

Given that the p-value < \alpha then we  reject the null hypothesis

Then the conclusion is  

  There is sufficient evidence to conclude that there are more passengers riding the 8:30  train

               

5 0
3 years ago
If 9 people had a some pizza and there was 2 boxes how many pizzas was left
Afina-wow [57]
They are 18 pizzas left
8 0
4 years ago
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0
3 years ago
What rule is this, please answer correctly, please
hichkok12 [17]

Answer:

Reflection

Step-by-step explanation: It is reflection because it is the same thing just reflected

7 0
3 years ago
Read 2 more answers
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