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3 years ago

The sum of Thalia and her brother's age is 41. If Thalia is three years older than her brother, how many years old is Thalia?

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Answer:

the thalia age be 19 years

Step-by-step explanation:

Let us assume her brother age be x

Now the thalia age be x - 3

Now the equation would be

x + x - 3 = 41

2x = 41 + 3

2x = 44

x = 22

thalia age be

= 22 - 3

= 19

Hence, the thalia age be 19 years

And, her brother age be 22 years

The same is to be considered

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Step-by-step explanation:

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Answer:

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H1: $\sigma \neq 1.34$

b) $df = n-1= 10-1=9$

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Step-by-step explanation:

Information provided

n = 10 sample size

s= 1.186 the sample deviation

$\sigma_o =1.34$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic (chi square test)

$\alpha=0.01$ significance level

Part a

On this case we want to test if the true deviation is 1,34 or no, so the system of hypothesis are:

H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

The statistic is given by:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

Part b

The degrees of freedom are given by:

$df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

Part c

Replacing the info we got:

$t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

Part d

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