Posted: February 5th, 2019
BSTA Assignment 4 Problems
Question 4: (5 marks)
In a study of distances travelled by buses before the first major engine
failure, a sampling of 60 buses resulted in a mean of 152,600 km. This means
that our sample had their first major engine failure at an average of 152,600
km. At the 0.05 level of significance,
test the manufacturerâs claim that mean distance travelled before a major
engine failure is more than 154,000 km. From previous research we know the
population standard deviation is 6400 km.
1.
State .png”>
2.
State the level of significance
3.
State the Decision Rule
4.
Compute the Test Statistic
5.
State your conclusion
Step 1:
Hypothesis statements
Steps 2 and
3: Level of Significance and the
Decision Rule
Bell curve
figure and table
Using values
you have obtained from Tables A.1 or A.2, enter the critical value z or t into
the red boxes and the significant level into the yellow boxes. For
one tail questions leave the appropriate boxes empty. Click on boxes to
enter value.
.jpg” alt=”unnumbered bell shaded number 8″>
.png”>.png”>
.png”>
.png”>
.png”>
.png”>
.png”>.png”>
Step 4. Test statistic (formula).
Step 5:
Conclusion.
Question 5: (5 marks)
A night time cold medicine bears a label indicating the presence of 600 mg of
acetaminophen in each fluid ounce of the drug. From previous studies the
population standard deviation is known to be 21 mg. Suppose that
Health Canada randomly selected 153 one-ounce samples and found that the mean
acetaminophen content was 589 mg. Using .png”>, test the claim of the pharmaceutical company that the
population mean is different from 600 mg.
Would you buy this cold medicine? Give your reasons.
1.
State .png”>
2.
State the level of significance
3.
State the Decision Rule
4.
Compute the Test Statistic
5.
State your conclusion
Step 1:
Hypothesis statements
Steps 2 and
3: Level of Significance and the
Decision Rule
Bell curve
figure and table
Using values
you have obtained from Tables A.1 or A.2, enter the critical value z or t into
the red boxes and the significant level into the yellow boxes. For
one tail questions leave the appropriate boxes empty. Click on boxes to
enter value.
.jpg” alt=”unnumbered bell shaded number 8″>
.png”>.png”>
.png”>
.png”>
.png”>
.png”>
.png”>.png”>
Step 4. Test statistic (formula).
Step 5: Conclusion.
Question 6: (5 marks)
The expense of moving the storage yard for the Consolidated Package Delivery
Service (CPDS) is justified only if it can be shown that the daily mean travel
distance will be significantly reduced from 342 km. In trial runs of 12
delivery trucks, the mean and standard deviation are found to be 318 km and 67
km, respectively. At the 0.01 level of significance, test the claim that the
mean is less than 342 km. Do you think the storage yard be moved? Give your
reasons.
1.
State .png”>
2.
State the level of significance
3.
State the Decision Rule
4.
Compute the Test Statistic
5.
State your conclusion
Step 1:
Hypothesis statements
Steps 2 and
3: Level of Significance and the
Decision Rule
Bell curve
figure and table
Using values
you have obtained from Tables A.1 or A.2, enter the critical value z or t into
the red boxes and the significant level into the yellow boxes. For
one tail questions leave the appropriate boxes empty. Click on boxes to
enter value.
.jpg” alt=”unnumbered bell shaded number 8″>
.png”>.png”>
.png”>
.png”>
.png”>
.png”>
.png”>.png”>
Step 4. Test statistic (formula).
Step 5:
Conclusion.
