Hourly production workers at a particular company claim they are paid less, on a
ID: 3181896 • Letter: H
Question
Hourly production workers at a particular company claim they are paid less, on average, than comparable workers at other companies. A random sample of 17 of these workers revealed a sample mean hourly wage of $16.56 with a sample standard deviation of $1.95. If comparable workers at other companies earn an average of $17.50 per hour, test the production workers' claim. Assume that the hourly wages are normally distributed and use a significance level of 0.025.
a. Select the correct symbol to replace "?" in the null hypothesis H0: ?17.50
b. Select the correct symbol to replace "?" in the alternative hypothesis Ha: ? 17.50
c. Compute the value of the test statistic.
Do not round intermediate calculations. Round your answer to three decimal places. Enter a "" sign directly before a negative answer.
Test statistic =
d. Determine the appropriate critical value.
Enter your critical values to three decimal places. Enter a "" sign directly before a negative answer.
Critical value = .
e. Compute the p-value for this hypothesis test using Excel.
Use your rounded test statistic from Part c. Do not round any other intermediate calculations. Round your answer to four decimal places.
f. Based on the above results, choose the appropriate initial conclusion.
g. Based on the claim and your initial conclusion, choose the appropriate final conclusion.
Hourly production workers at a particular company claim they are paid less, on average, than comparable workers at other companies. A random sample of 17 of these workers revealed a sample mean hourly wage of $16.56 with a sample standard deviation of $1.95. If comparable workers at other companies earn an average of $17.50 per hour, test the production workers' claim. Assume that the hourly wages are normally distributed and use a significance level of 0.025.
> =Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of population
H0 : > 17.5
HA : < 17.5
Hypothesis test results:
Hence,
a) Option D is correct. (>)
b) Option D is correct. (<)
c) Test statistic = - 1.988
d) Critical Value = t - value for a left tailed test and 16 degrees of freedom = - 2.120
e) p - value = 0.0321
f) p - value is greater than 0.025 so do not reject the null hypothesis.
Option a is correct.
g) Do not support the production workers' claim.
Option b is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value 16.56 0.47294447 16 -1.9875484 0.0321Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.