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a_sh-v [17]
2 years ago
6

The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction wo

rk force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009, where the x-axis shows years and the y-axis shows average hourly earnings of production workers. line starts at 17.2 on january 2000, slowly increases to 19.7 on january 2006, then increases more quickly to 20.5 on january 2007 and 22.4 on january 2009. a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease. please select the best answer from the choices provided a b c d
Mathematics
1 answer:
Talja [164]2 years ago
7 0

The statement his friend’s statement  is not accurate. The percent increase will be more than 2% is correct.

We have the average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012.

<h3>What is the meaning of avarage?</h3>

An average value is defined as the sum of all the values divided by the total number of values in a given data.

Therefore we get,have ion industry  average hourly earnings, 2000-2009 a line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009,

where the x-axis shows years and the y-axis shows average hourly earnings of production workers.

line starts at 17.2 on january 2000, slowly increases to 19.7 on january 2006, then increases more quickly to 20.5 on january 2007 and 22.4 on january 2009

<h3>What is the meaning of increasing 2%?</h3>

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

Therefore from the given data line starts

17.2 on january 2006

20.5 on janury 2007

22.4 on janury 2009

It seems that The option B is correct.

Therefore,his friend’s statement  is not accurate. The percent increase will be more than 2%.

To learn more about the percentage value visit:

brainly.com/question/11360390

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We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Step-by-step explanation:

We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;

1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.

Let \mu = <u><em>true average percentage of organic matter</em></u>

So, Null Hypothesis, H_0 : \mu = 3%      {means that the true average percentage of organic matter in such soil is 3%}

Alternate Hypothesis, H_A : \mu \neq 3%      {means that the true average percentage of organic matter in such soil is something other than 3%}

The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about the population standard deviation;

                         T.S.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

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            n = sample of soil specimens = 30

So, <u><em>the test statistics</em></u> =  \frac{2.481-3}{\frac{1.616}{\sqrt{30} } }  ~ t_2_9

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The value of t-test statistics is -1.76.

(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we have <u><em>sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have <u><em>insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

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