# Answer on Statistics and Probability Question for Kristen

Question #17204

1. Use the method specified to perform the hypothesis test for the population

mean . WeatherBug say that the mean daily high for December in a large Florida city is F. WFLA weather suspects that this temperature is not accurate. A hypothesis test is performed the determine if the mean is actually lower than F. Assume that the population standard deviation of = F. A sample of mean daily temperatures for December over the past 40 years gives F. At = 0.01, does the data provide sufficient evidence to conclude that the mean temperature is different than F.

a. Use the critical value z0 method from the normal distribution.

1. H0 :

Ha :

2. =

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

7. Interpretation:

b. Use the P-value method to determine if the mean is different than 76 degrees F, but at the .05 level of confidence.

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

Rejection Region:

5. Decision:

6. Interpretation:

2. A local tire store suspects that the mean life of a new discount tire is less that 39,000 miles. To check the claim, the store selects randomly 18 of these new discount tires. When they are tested, it is found that the mean life is 38,250 miles with a sample standard deviation s = 1200 miles. Assume the distribution is normally distributed.

a. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance = 0.05.

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

7. Interpretation:

b. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance = 0.01

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

7. Interpretation:

3. A flash drive manufacturer has set a standard on their production process. When defects exceed 3%, the production process is unacceptable. A random sample of 300 drives is tested. The defective rate is 5.9%. Use a level of significance of = 0.01 to test to see if you have sufficient evidence to support the claim that the defective rate exceeds 3%. (Round p-hat to 3 decimal places.)

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

mean . WeatherBug say that the mean daily high for December in a large Florida city is F. WFLA weather suspects that this temperature is not accurate. A hypothesis test is performed the determine if the mean is actually lower than F. Assume that the population standard deviation of = F. A sample of mean daily temperatures for December over the past 40 years gives F. At = 0.01, does the data provide sufficient evidence to conclude that the mean temperature is different than F.

a. Use the critical value z0 method from the normal distribution.

1. H0 :

Ha :

2. =

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

7. Interpretation:

b. Use the P-value method to determine if the mean is different than 76 degrees F, but at the .05 level of confidence.

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

Rejection Region:

5. Decision:

6. Interpretation:

2. A local tire store suspects that the mean life of a new discount tire is less that 39,000 miles. To check the claim, the store selects randomly 18 of these new discount tires. When they are tested, it is found that the mean life is 38,250 miles with a sample standard deviation s = 1200 miles. Assume the distribution is normally distributed.

a. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance = 0.05.

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

7. Interpretation:

b. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance = 0.01

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

7. Interpretation:

3. A flash drive manufacturer has set a standard on their production process. When defects exceed 3%, the production process is unacceptable. A random sample of 300 drives is tested. The defective rate is 5.9%. Use a level of significance of = 0.01 to test to see if you have sufficient evidence to support the claim that the defective rate exceeds 3%. (Round p-hat to 3 decimal places.)

1. H0 :

Ha :

2.

3. Test statistics:

4. P-value or critical z0 or t0.

5. Rejection Region:

6. Decision:

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