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Lena [83]
3 years ago
9

Find x such that -1/3 = 7/x

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

x= -21

Step-by-step explanation:

-1/3=7/x

-1x=21

-1x/-1=21/-1

x= -21

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It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older
Alchen [17]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Step-by-step explanation:

From the question we are told that  

    The average time taken is  \mu =  2.5 \ seconds

      The  sample size is  n =  30

     The sample mean is  \= x =  2.7 \  seconds

      The standard deviation is  \sigma  =  1.4 \  seconds

The null hypothesis is  H_o:  \mu = 2.5

The alternative hypothesis  is  H_a :  \mu >  2.5 \  seconds

Generally the test statistics is mathematically represented as

                z =  \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }

=>              z =  \frac{ 2.7  -2.5 }{ \frac{1.4}{ \sqrt{30} } }

=>              z =  0.7825

From the z table  the area under the normal curve to the right corresponding to  0.7825   is  

                p-value  =  P(Z > 0.7825  ) =  0.21696

So from the question we see that the p-value  >  \alpha hence

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

5 0
3 years ago
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