MHB Does the Mean Work Week Differ for 18-25 Year Olds?

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The mean work week for workers aged 18-25 is reported as 37.7 hours, suggesting it may differ from the standard 40 hours. The relevant variable is the number of hours worked in the previous week, and the parameter of interest is the population mean work week for this age group. The null hypothesis posits that the population mean equals 40 hours, while the alternative suggests it does not. The test statistic indicates the sample mean is 2.42 standard errors below the hypothesized mean under the null hypothesis. Based on the calculated P-value, a conclusion can be drawn regarding whether the population mean work week significantly differs from 40 hours.
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When 197 workers aged 18-25 were asked how many hours they worked in the previous week, the mean was 37.7, with a standard deviation of 13.3. Does this suggest that the population mean work week for these age groups differs from 40 hours? Answer by compiling parts.a. Identify the relevant and parameter variable. Choose the correct relevant below.1. THe relevant variable is the number of hours worked in the previous week by workers aged 18-25.

2. The relevant variable is the maximum number of hours worked in a week

3. The relevant variable is the population mean work (in hours) for workers ages 18-25Identify the parameter. Choose below.1. Parameter of interest is the population means work week (in hours) by workers aged 18-25.

2. Parameter of interest is the number of the hours worked in the previous work week by by workers aged 18-25.

3. Parameter of interest is the maximum number of hours worked in a week.

4. State the null and alternative hypothesisb. Null hypothesis1. Hₐ: µ <40

2. Hₐ: µ >40

3. Hₐ: µ ≠40

4. Hₐ: µ =40State the alternative Hypoth1. Hₒ: µ <40

2. Hₒ: µ >40

3. Hₒ: µ ≠40

4. Hₒ: µ =40
c. Find the statistic Value

T= ?(do not round until the final answer, and round to the nearest hundredth as needed)d. Interpret the test statistic value. Choose answer below.1. Standard Deviation is 2.42 standard errors below the mean hypothesized in ALT hypoth

2. The sample mean is 2.42 standard errors below the mean hypothesized in the NULL hypoth

3. Standard Deviation is 2.42 standard errors below the mean hypothesized in the NULL hypoth

4. Sample mean is 2.42 standard errors below the mean hypothesized in the ALT hypoth
. Report the P-value and state the conclusion in context

P-value = ?

(Round to the nearest hundredth)Does this suggest that the population mean work week for this age group differs from 40 hours?

(Use common significance levels of 0.05 or 0.10)

Yes or no ?
 
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