Question

A college wishes to test the claim that its graduates have an average monthly salary of more than R30 000 per month. A random survey of ten graduates gives the following as the monthly salaries (In thousands of South African Rands):

41 30 29 25 39 41 27 26 31 34

Test the claim at a 5% level of significance:

a. State the null and alternative hypothesis.

b. State and calculate the appropriate test statistic.

c. Determine the critical value of the test.

d. State whether or not you reject the null hypothesis.

e. Draw an appropriate conclusion

Answer 1

answer:

a.

• About the invalid and elective speculations. ... The elective speculation expresses that a populace parameter is littler, more noteworthy, or not the same as the conjectured an incentive in the invalid theory.
• The elective speculation is the thing that you may accept to be valid or plan to demonstrate genuine.

b

• A test measurement is an irregular variable that is ascertained from test information and utilized in a theory test.
• You can utilize test insights to decide if to dismiss the invalid speculation. ... For instance, the test measurement for a Z-test is the Z-measurement, which has the standard ordinary circulation under the invalid speculation
• ​Government sanctioned test measurements are utilized in theory testing.
• The general recipe equation is: Standardized test measurement: (measurement parameter)/(standard deviation of the measurement).
• The recipe without anyone else's input doesn't mean much, except if you likewise know the three noteworthy types of the condition for z-scores and t-scores.

c

• The most usually utilized criticalness level is α = 0.05. For a two-sided test, we figure 1 - α/2, or 1 - 0.05/2 = 0.975 when α = 0.05.
• On the off chance that the total estimation of the test measurement is more prominent than the basic esteem (0.975), at that point we dismiss the invalid speculation.

d

• ​Support or reject invalid speculation? On the off chance that the P-esteem is less, dismiss the invalid theory.
• In the event that the P-esteem is more, keep the invalid theory. 0.003 < 0.05, so we have enough confirmation to dismiss the invalid theory and acknowledge the case