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

In summary, we are looking at the question of whether the population mean work week differs from 40 hours for workers aged 18-25. The relevant variable is the number of hours worked in the previous week by this age group. The parameter of interest is the population mean work week (in hours) for workers aged 18-25. The null hypothesis is Hₒ: µ = 40 and the alternative hypothesis is Hₐ: µ ≠ 40. The test statistic value is T= ?. The P-value is ?. Based on a common significance level of 0.05 or 0.10, the conclusion is that there is insufficient evidence to suggest that the population mean work week for workers aged 18-25 differs
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chrisjackson1
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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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FAQ: Does the Mean Work Week Differ for 18-25 Year Olds?

What is the mean work week for 18-25 year olds?

The mean work week for 18-25 year olds is the average number of hours worked in a week by individuals in this age group. It is calculated by adding up the total number of hours worked by all individuals in the group and dividing by the number of individuals.

How is the mean work week different for 18-25 year olds compared to other age groups?

The mean work week for 18-25 year olds may be different from other age groups due to factors such as education levels, job availability, and personal preferences. It is important to note that the mean work week may also vary within this age group based on individual circumstances.

Is the mean work week for 18-25 year olds consistent across all industries?

No, the mean work week for 18-25 year olds may vary across different industries. Some industries may have longer work weeks due to the nature of the work, while others may have shorter work weeks. It is important to consider the specific industry when analyzing the mean work week for 18-25 year olds.

How is the mean work week affected by gender within the 18-25 year old age group?

The mean work week may be affected by gender within the 18-25 year old age group. Studies have shown that on average, men tend to work longer hours than women. However, this may also vary depending on individual circumstances and job opportunities.

What other factors could impact the mean work week for 18-25 year olds?

There are many other factors that could impact the mean work week for 18-25 year olds, such as location, career field, and economic conditions. Additionally, personal factors such as family responsibilities or part-time schooling may also play a role in the number of hours worked in a week by individuals in this age group.

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