203 230 207 268 286 199 226 244 191 238 214 252 177 235 224 243 218 252 206 222

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Job Opening Data
203
230
207
268
286
199
226
244
191
238
214
252
177
235
224
243
218
252
206
222
Transcribed Image Text:Job Opening Data 203 230 207 268 286 199 226 244 191 238 214 252 177 235 224 243 218 252 206 222
According to a job website, each job opening on average attracted 250 résumés in 2016. The job market improved in
2017 compared to 2016, which means that more people will likely be switching jobs but also fewer unemployed workers
remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken.
Each employer reported how many résumés they received in 2017 for each job opening. Their answers are shown in the
accompanying table. Using a = 0.05, complete parts a through d.
Click the icon to view the data on résumés received.
a. State the null and alternative hypotheses.
Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.
Ho:
H₁:
(Type integers or decimals. Do not round.)
Transcribed Image Text:According to a job website, each job opening on average attracted 250 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer unemployed workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each job opening. Their answers are shown in the accompanying table. Using a = 0.05, complete parts a through d. Click the icon to view the data on résumés received. a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Ho: H₁: (Type integers or decimals. Do not round.)
Expert Solution
Step 1: Given data :

By applying one sample t-test,

Statistics homework question answer, step 1, image 1

sample size (n) = 20
sample mean (x̄) = Σx/n

                         = 4535/20

                         = 226.75

sample standard deviation (s) = √Σ (x-x̄)2 /(n-1) 

                                               = √13431.7500/(20-1) 

                                              = 26.5882

population mean ( µ ) = 250

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