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2 years ago

Can somebody help me with (a) and (b)? Thanks! :D

Mathematics

2 answers:

Pachacha [2.7K]2 years ago

6 0

Answer:

PART A:

Line m: 1/2x + 6

Line n: 1/2x - 3

PART B:

The slope is the same in both lines

MakcuM [25]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Since the lines are parallel they have the same slopes

Calculate the slope of line m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the line

m = $\frac{7-6}{2-0}$ = $\frac{1}{2}$

Note the line crosses the y- axis at (0, 6) ⇒ b = 6

Thus

y = $\frac{1}{2}$ x + 6 ← equation of line m

Note for line n the line crosses the y- axis at (0, - 3) ⇒ b = - 3

Thus

y = $\frac{1}{2}$ x - 3 ← equation of line n

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Answer:

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How I found this out:

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Step-by-step explanation:

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Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the

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Answer:

a) $z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

b) $p_v =2*P(z$

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

$\bar X_{1}= 104$ represent the mean for 1

$\bar X_{2}= 106$ represent the mean for 2

$\sigma_{1}= 8.4$ represent the population standard deviation for 1

$\sigma_{2}= 7.6$ represent the population standard deviation for 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0: $\mu_{1}=\mu_{2}$

H1: $\mu_{1} \neq \mu_{2}$

The statistic would be given by:

$z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=$ (1)

Part a

Replacing we got:

$z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

Part b

The p value would be given by this probability:

$p_v =2*P(z$

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

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