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3 years ago

1) Find mZLMN if mZLMT= 23° and mZTMN = 144º.

Mathematics

1 answer:

Nesterboy [21]3 years ago

3 0

Answer:

m<LMN = 167°

Step-by-step explanation:

Given:

m<LMT = 23°

m<TMN = 144°

Required:

m<LMN

SOLUTION:

m<LMN = m<LMT + m<TMN (angle addition postulate)

m<LMN = 23° + 144° (Substitution)

m<LMN = 167°

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a) Null hypothesis: $\mu = 90000$

Alternative hypothesis: $\mu \neq 90000$

b) $p_v =2*P(t_{(24)}$

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1) Data given and notation

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$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

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$s=11039.23$ represent the sample standard deviation for the sample

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$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

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We need to conduct a hypothesis in order to check if the mean salary differs from 90000, the system of hypothesis would be:

Null hypothesis: $\mu = 90000$

Alternative hypothesis: $\mu \neq 90000$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part b: Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{85272-90000}{\frac{11039.23}{\sqrt{25}}}=-2.141$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=25-1=24$

Since is a two sided test the p value would be:

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