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iren2701 [21]
3 years ago
13

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.49, 0.39

, 0.08, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0

Answer: cops are pigs

Step-by-step explanation: they smell like bacon

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. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about slee
scoundrel [369]

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Yes the conclusion in the question  is a reasonable conclusion

Step-by-step explanation:

From the question we are told that

    The sample size is  n_1 = n_2 = n = 250

     The sample mean for USA is  \= x_1 =  391 \ minutes

     The sample mean for Mexico is \= x_2 = 426 \ minutes

     The sample standard deviation for USA is  s_1 =  25 \ minutes

    The sample standard deviation for Mexico is  s_2 =  49 \  minutes

     

The null hypothesis is  H_o  :  \mu_1 = \mu_2

The alternative hypothesis is  H_a  :  \mu_1  < \mu_2

Generally the test statistics is mathematically represented as

        z =  \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }

=>     z =  \frac{ 391  - 426  }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }

=>     z =  -10

From the z table  the area under the normal curve to the left corresponding to   -10  is

    p-value =  P(Z <  -10 ) =  0.00

Generally from the value obtained we see that

  The p-value is  <  \alpha  hence

The decision rule is

Reject the null hypothesis

The conclusion is  

 The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico

Hence the conclusion in the question is a  reasonable conclusion

6 0
3 years ago
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