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nasty-shy [4]
4 years ago
13

1. What are the mean, median, mode and range of the data set given the altitude of lakes in feet:

Mathematics
1 answer:
Zarrin [17]4 years ago
5 0

Answer:

I did the math, and the answer's not in there.

Step-by-step explanation:

Mean is the average of the data.

-12 + -9 + -14 + -39 + -49 + -49 + -18 + -43 = -233 / 8 = 29.125 = 29.1 is the mean

Median is the value in the middle. You have to arrange the numbers in ascending order first.

-49, -49, -43, -39, -18, -14, -12, -9

Notice, the middle valued are -39 & -18. In this case, get its average.

-39 + -18 = -57 / 2 = -28.5 is the median

Mode is the most frequent number in the data. So the answer is -49.

Range is the difference of largest number to the smallest number. (Take note that we are dealing with negative numbers.)

-9 - -49 = 40

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Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

       Sr =  \sqrt{1- 0.65}

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The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

        df = 12

The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

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The test statistics  is evaluated as

      t =  \frac{r }{SE}

       t =  \frac{0.65 }{0.1779}

        t =  3.654

The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

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

           Hence the company can conclude that the correlation is positive

     

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The maximum number of whole miles she can drive would be 1933 miles (1600 + 333).

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