Question

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 270 cars, they found a mean MPG of 27.8. Assume the variance is known to be 6.25 A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.

Enter the value of the test statistic.

Answer #1

An automobile manufacturer claims that its car has a
28.0 miles/gallon (MPG) rating. An independent
testing firm has been contracted to test the MPG for this car since
it is believed that the car has an incorrect manufacturer's MPG
rating. After testing 270 cars, they found a mean
MPG of 27.8. Assume the variance is known
to be 6.25. A level of significance of
0.02 will be used. State the hypotheses.
H0: (BLANK)
Ha: (BLANK)

An automobile manufacturer claims that its car has a 57.7
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car since it is believed that
the car has an incorrect manufacturer's MPG rating. After testing
210 cars, they found a mean MPG of 57.4. Assume the standard
deviation is known to be 1.9. A level of significance of 0.1 will
be used. Find the value of the test statistic. Round your answer to...

An automobile manufacturer claims that its jeep has a 59.8
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this jeep since it is believed that
the jeep has an incorrect manufacturer's MPG rating. After testing
160 jeeps, they found a mean MPG of 59.7. Assume the standard
deviation is known to be 1.3. A level of significance of 0.02 will
be used. Find the value of the test statistic. Round your answer to...

An automobile manufacturer claims that its jeep has a 37.0
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this jeep since it is believed that
the jeep has an incorrect manufacturer's MPG rating. After testing
140 jeeps, they found a mean MPG of 37.2. Assume the variance is
known to be 1.69. A level of significance of 0.05 will be used.
Find the value of the test statistic. Round your answer to 2...

An automobile manufacturer claims that its van has a 37.4
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this van since it is believed that
the van has an incorrect manufacturer's MPG rating. After testing
280 vans, they found a mean MPG of 37.8. Assume the standard
deviation is known to be 2.3. A level of significance of 0.05 will
be used. Find the value of the test statistic. Round your answer to...

An automobile manufacturer has given its van a 39.7
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the actual MPG for this van since it is believed
that the van has an incorrect manufacturer's MPG rating. After
testing 180 vans, they found a mean MPG of 40.0. Assume the
population variance is known to be 6.25. A level of significance of
0.02 will be used. Find the value of the test statistic. Round your
answer to...

An automobile manufacturer has given its car a 46.2 miles/gallon
(MPG) rating. An independent testing firm has been contracted to
test the actual MPG for this car since it is believed that the car
has an incorrect manufacturer's MPG rating. After testing 240 cars,
they found a mean MPG of 46.4 . Assume the population variance is
known to be 2.56 . A level of significance of 0.05 will be used.
State the null and alternative hypotheses.

An automobile manufacturer claims that their car has a 59.1
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this car. After testing 51 cars they
found a mean MPG of 59.3 with a standard deviation of 1.4 MPG. Is
there sufficient evidence at the 0.1 level that the cars have an
incorrect manufacturer's MPG rating? State the null and alternative
hypotheses for the above scenario.

An automobile manufacturer claims that its van has a 33.7
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this van since it is believed that
the van has an incorrect manufacturer's MPG rating. After testing
230 vans, they found a mean MPG of 33.9 Assume the standard
deviation is known to be 2.5. A level of significance of 0.02 will
be used. Make a decision to reject or fail to reject the null...

An automobile manufacturer claims that its van has a 40.3
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the MPG for this van since it is believed that
the van has an incorrect manufacturer's MPG rating. After testing
250 vans, they found a mean MPG of 39.9 . Assume the standard
deviation is known to be 2.4 . A level of significance of 0.05 will
be used. Make a decision to reject or fail to reject...

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