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mote1985 [20]
3 years ago
13

The owner of a small manufacturing plant employs six people. As part of their personnel file, the owner asked each employee to r

ecord the distance they travel one way from home to work. The six distances (in miles) are listed below. What is the range of the data? 2.4 5.2 1.8 4.9 6.4 3.5
Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

4.6

Step-by-step explanation:

Formula: Range = highest value - lowest value

Step 1: List all the data in ascending order

1.8, 2.4, 3.5, 4.9, 5.2, 6.4

Step 2: Identify the lowest and highest number

Lowest number : 1.8

Highest number : 6.4

Step 3 : Substitute the values in the formula

Range = highest value - lowest value

6.4 - 1.8 = 4.6

!!

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A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
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Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

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d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

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   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

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Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

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