The Excel spreadsheet below contains data on the year, experience level, and salary in U$.$S$.$ dollars for a random sample of n$=79$ entry$-$level data science jobs from $2020-2022.$ We are going to compute a $95\%$ confidence interval for the mean salary for all entry$-$level data science jobs from $2020-2022.$

Year Experience Level Salary in US Dollars

$2020$ Entry$-$level $$72000$

$2020$ Entry$-$level $$51321$

$2020$ Entry$-$level $$39916$

$2020$ Entry$-$level $$41689$

$2020$ Entry$-$level $$5707$

$2020$ Entry$-$level $$42000$

$2020$ Entry$-$level $$70000$

$2020$ Entry$-$level $$250000$

$2020$ Entry$-$level $$10000$

$2020$ Entry$-$level $$138000$

$2020$ Entry$-$level $$6072$

$2020$ Entry$-$level $$91000$

$2020$ Entry$-$level $$45896$

$2020$ Entry$-$level $$54742$

$2020$ Entry$-$level $$62726$

$2020$ Entry$-$level $$49268$

$2020$ Entry$-$level $$105000$

$2021$ Entry$-$level $$82528$

$2021$ Entry$-$level $$80000$

$2021$ Entry$-$level $$59102$

$2021$ Entry$-$level $$76833$

$2021$ Entry$-$level $$29751$

$2021$ Entry$-$level $$70000$

$2021$ Entry$-$level $$30428$

$2021$ Entry$-$level $$225000$

$2021$ Entry$-$level $$90000$

$2021$ Entry$-$level $$50000$

$2021$ Entry$-$level $$110037$

$2021$ Entry$-$level $$20000$

$2021$ Entry$-$level $$100000$

$2021$ Entry$-$level $$49646$

$2021$ Entry$-$level $$100000$

$2021$ Entry$-$level $$80000$

$2021$ Entry$-$level $$13400$

$2021$ Entry$-$level $$125000$

$2021$ Entry$-$level $$63831$

$2021$ Entry$-$level $$80000$

$2021$ Entry$-$level $$55000$

$2021$ Entry$-$level $$60000$

$2021$ Entry$-$level $$81000$

$2021$ Entry$-$level $$21844$

$2021$ Entry$-$level $$9272$

$2021$ Entry$-$level $$90000$

$2021$ Entry$-$level $$5882$

$2021$ Entry$-$level $$24823$

$2021$ Entry$-$level $$16228$

$2021$ Entry$-$level $$4000$

$2021$ Entry$-$level $$21637$

$2021$ Entry$-$level $$18053$

$2021$ Entry$-$level $$36643$

$2021$ Entry$-$level $$90000$

$2021$ Entry$-$level $$28399$

$2021$ Entry$-$level $$65013$

$2021$ Entry$-$level $$72500$

$2021$ Entry$-$level $$76833$

$2021$ Entry$-$level $$85000$

$2021$ Entry$-$level $$100000$

$2021$ Entry$-$level $$58000$

$2021$ Entry$-$level $$59102$

$2021$ Entry$-$level $$100000$

$2022$ Entry$-$level $$52351$

$2022$ Entry$-$level $$45807$

$2022$ Entry$-$level $$37300$

$2022$ Entry$-$level $$21983$

$2022$ Entry$-$level $$125000$

$2022$ Entry$-$level $$100000$

$2022$ Entry$-$level $$18442$

$2022$ Entry$-$level $$120000$

$2022$ Entry$-$level $$58035$

$2022$ Entry$-$level $$52396$

$2022$ Entry$-$level $$40000$

$2022$ Entry$-$level $$86703$

$2022$ Entry$-$level $$120000$

$2022$ Entry$-$level $$150000$

$2022$ Entry$-$level $$65000$

$2022$ Entry$-$level $$20000$

$2022$ Entry$-$level $$10000$

$2022$ Entry$-$level $$67000$

$2022$ Entry$-$level $$52000$

Answer the questions below

$1.$ Describe the sample selected in this scenario.

$2.$ Describe the population of interest in this scenario.

$3.$ Describe the parameter of interest in this scenario.

$4.$ Is the data collected from a random or representative sample? yes or no$?$

$5.$ Is the sample size greater than or equal to $30$ or is the population approximately normal? Yes, the sample size is greater than or equal to $30.?$ Yes, the population is approximately normal.? Yes, the sample size is greater than or equal to $30$ and the population is approximately normal.? or No$,$ neither condition is satisfied.

$6.$ Is the sample size less than $10\%$ of the population size? yes or no$?$

$7.$ Find the lower bound of the $95\%$ confidence interval. Round your answer to $2$ decimal places since salaries are measured in dollars. Do not include a $ in your answer.

$8.$ Find the upper bound of the $95\%$ confidence interval. Round your answer to $2$ decimal places since salaries are measured in dollars. Do not include a $ in your answer.

$9.$ Explain what your $95\%$ confidence interval tells you about the parameter of interest.