BUS 308 Week 4 Quiz (10/10)

1. Question : The manager of the quality
department for a tire manufacturing company wants to study the average tensile
strength of rubber used in making a certain brand of radial tire. The
population is normally distributed and the population standard deviation is
known. She uses a Z test to test the null hypothesis that the mean tensile
strength is less than or equal to 800 pounds per square inch. The calculated Z
test Statistic is a positive value that leads to a p-value of .067 for the
test. If the significance level is .10, the null hypothesis would be rejected.
True
False
2. Question : For the chi-square goodness of fit test, the rejection point X2a
is in
Student Answer: the left tail of a chi-square curve.
both the left and right tails of a chi-square curve.
the right tail of the appropriate F curve.
the right tail of a chi-square curve.
3. Question : Consider using p-value to test H0 versus Ha by setting ? equal to
.10. We reject H0 at level ? of significance if and only if the p-value is:
Student Answer: Greater than ?/2
Greater than ?
Less than ?
None of the above
4. Question : Type II error is defined as the probability of ______ H0 , when
it should _____
failing to reject, be rejected.
failing to reject, not be rejected.
rejecting, not be rejected.
rejecting, be rejected.
5. Question : The X2 statistic is used to test whether the assumption of
normality is reasonable for a given population distribution. The sample
consists of 5000 observations and is divided into 6 categories (intervals). The
degrees of freedom for the chi-square statistic is:
Student Answer: 4999
6
5
4
3
6. Question : For a hypothesis test about a population mean or proportion, if
the level of significance is less than the p-value, the null hypothesis is
rejected.
True
False
7. Question : When carrying out a sample test (with ó known) of H0: µ = 10 vs.
Ha: µ > 10 by using a rejection point, we reject Ho at level of significance
a if and only if the calculated test statistic is
less than – Za
greater than Za/2
greater than Za
less than the p value.
8. Question : The X2 statistic from a contingency table with 6 rows and five
columns will have _____ degrees of freedom.
30
24
5
20
25
9. Question : Homogeneity is a test of the null hypothesis that all multinomial
probabilities are equal True
False
10. Question : When using the chi-square goodness of fit test with multinomial
probabilities, the rejection of the null hypothesis indicates that at least one
of the multinomial probabilities is not equal to the value stated in the null
hypothesis.
True
False