Alternative hypothesis for a two-tail test


Complete the mcq:

Q1. A grocery store owner is interested in determining if the average weight of a package of ground beef sold in the store weighs one pound. An appropriate null hypothesis for this study is

a. H0: μ = 1 lb
b. H0: μ ≠ 1 lb
c. H0: μ > 1 lb
d. H0: μ < 1 lb
e. None of the above

Q2. A restaurant manager thinks that the average bill paid by his customers is $25. To test his hypothesis, the next 50 tabs are tallied. All of them are over $25. Therefore, he can conclude immediately that the average bill paid by all of his customers

a. exceeds $25.
b. equals $25.
c. is less than $25.
d. may be less than, equal to, or greater than $25.
e. None of the above

Q3. The p value is the ___________ value for α for which you can ___________.

a. smallest, reject H0.
b. largest, reject H0.
a. smallest, reject HA.
d. largest, reject HA.
e. None of the above

Q4. A gasoline service station manager found that even though a published report stated that customers buy an average of 15 gallons of gas each time they fill up, the last 100 of his customers bought an average of 13.5 gallons. If the p value was 0.002, the manager can conclude that there is a _______ chance that he would have obtained a sample mean of _________ gallons if the population mean was actually __________.

a. 2%, 13.5, 15
b. 0.2%, 15, 13.5
c. 0.02%, 13.5, 15
d. 0.2%, 13.5, 15
e. None of the above

Q5. A study was recently conducted that yielded a p value of 0.001 after all the data were analyzed. The researchers are correct to conclude that the data are

a. highly consistent with the null hypothesis.
b. insufficient to draw a conclusion and that more data need to be collected.
c. highly inconsistent with the alternative hypothesis.
d. indicative of a strong rejection of the null hypothesis.
e. None of the above

Q6. Whenever a two-tail test is being conducted, the rule of thumb is that the testing procedure requires that the view with the __________ sign remain in the __________ hypothesis.

a. =, null.
b. ≠, null
c. >, alternative
d. =, alternative
e. None of the above

Q7. The appropriate alternative hypothesis for a two-tail test to determine if mean body weight of all the men who have joined a health club is 185 pounds would be

a. HA: μ = 185 lb.
b. HA: μ < 185 lb.
c. HA: μ > 185 lb.
d. HA: μ ≠ 185 lb.
e. None of the above

Q8. The appropriate alternative hypothesis for a lower-tail test to determine if mean body weight of all the men who have joined a health club is less than 185 pounds would be

a. HA: μ ≥ 185 lb.
b. HA: μ < 185 lb.
c. HA: μ = 185 lb.
d. HA: μ ≠ 185 lb.
e. None of the above

Q9. The appropriate null hypothesis for an upper-tail test to determine if mean body weight of all the men who have joined a health club exceeds 185 pounds would be

a. HA: μ = 185 lb.
b. HA: μ > 185 lb.
c. HA: μ ≤ 185 lb.
d. HA: μ ≠ 185 lb.
e. None of the above

Q10. Whenever a lower-tail test of the mean is being conducted, the critical region under the normal curve is the area under the curve that is located

a. to the right of -Zcutoff.
b. to the left of -Zcutoff.
c. between 0 and -Zcutoff.
d. between -Zcutoff and +Zcutoff.
e. None of the above

Q11. Whenever an upper-tail test of the mean is being conducted, the critical region under the normal curve is the area under the curve that is located

a. to the right of +Zcutoff.
b. to the left of +Zcutoff.
c. between 0 and +Zcutoff.
d. between -Zcutoff and +Zcutoff.
e. None of the above

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Basic Statistics: Alternative hypothesis for a two-tail test
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