Question

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true using a 5% level of significance. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W. Step 1: The null hypothesis is : Step 1: The alternative hypothesis is : Step 2: The value of the test statistics is Step 3: The lower critical value is Note: If there is one critical value, one of the "lower critical value" or "upper critical value" should be "none". Step 3: The upper critical value is Note: If there is one critical value, one of the "lower critical value" or "upper critical value" should be "none". Step 3: The p-value is Step 4: You should Step 5: Your should conclude that 1. 2. 3. 4. 5. 6. 7. -1.645 8. 0.0148 9. 1.645 10. 2.18 11. 250 12. not reject 13. reject 14. none 15. there is enough evidence that the manufacturer’s claim is true when allowing for a 5% probability of committing a Type I error. 16. there is not enough evidence that the manufacturer’s claim is true when allowing for a 5% probability of committing a Type I error. 17. there is enough evidence that the manufacturer’s claim is not true when allowing for a 5% probability of committing a Type I error. 18. there is not enough evidence that the manufacturer’s claim is not true when allowing for a 5% probability of committing a Type I error.

          An appliance manufacturer claims to have developed a compact
microwave oven that consumes a mean of no more than 250 W. From
previous studies, it is believed that power consumption for
microwave ovens is normally distributed with a population standard
deviation of 15 W. A consumer group has decided to try to discover
if the claim appears true using a 5% level of significance. They
take a sample of 20 microwave ovens and find that they consume a
mean of 257.3 W.
Step 1: The null hypothesis is  :
Step 1: The alternative hypothesis is  :
Step 2: The value of the test statistics is
Step 3: The lower critical value is
Note: If there is one critical value, one
of the "lower critical value" or "upper critical value" should be
"none".
Step 3: The upper critical value is
Note: If there is one critical value, one
of the "lower critical value" or "upper critical value" should be
"none".
Step 3: The p-value is
Step 4: You should
Step 5: Your should conclude that
1.
2.
3.
4.
5.
6.
7.
-1.645
8.
0.0148
9.
1.645
10.
2.18
11.
250
12.
not reject 
13.
reject 
14.
none
15.
there is enough evidence that the manufacturer’s claim is true
when allowing for a 5% probability of committing a Type I
error.
16.
there is not enough evidence that the manufacturer’s claim is
true when allowing for a 5% probability of committing a Type I
error.
17.
there is enough evidence that the manufacturer’s claim is not
true when allowing for a 5% probability of committing a Type I
error.
18.
there is not enough evidence that the manufacturer’s claim is
not true when allowing for a 5% probability of committing a Type I
error.

Added by Leslie T.

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