A customer service representative was interested in comparing the average time (in minutes) customers are placed on hold when calling Southern California Edison and Southern California Gas companies. The representative obtained two independent random samples and calculated the following summary information: So Cal Edison
|
Southern Cal Edison |
Southern Cal Gas |
|
9 |
12 |
Sample |
3.2 min |
2.8 min |
Sample Standard deviation |
0.5 min |
0.7 min |
Assume the distributions of time a customer is on hold are approximately normal.
Using the following null and alternate hypothesis:
H0:mu1-mu2=0 vs. Ha:mu1-mu2 not equal 0
Test statistic is t=-1.455
Assume alpha = 0.1 what is the appropriate conclusion for this test?
A. |
Reject Ha |
|
B. |
Reject H0 |
|
C. |
Do not reject H0 |
|
D. |
none of these |
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images
- A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H1 H2 o C. Ho: H = 2 H₁: H1 H2 OB. Ho: H1 H2 H1 H1 H2 OD. Ho H1 H2 H₁: 12 Treatment Placebo μ H1 H2 n 27 31 X 2.35 2.65 S 0.95 0.55arrow_forwardThe numbers of incorrect answers on a twe or false competency test for a random sample of 15 students were record. as follows: 2, 1, 3, 0, 1, 3, 6, 0, 3, 3, 5, 2. 1, 4, and 2. d. range. e. standard deviation. f. variancearrow_forwardTreatment Placebo 3. H1 H2 table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. A study was done using a treatment group and a placebo group. The results are shown in the 27 40 In 2.39 2.65 0.95 0.57 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 O B. Ho: H1H2 D. Ho: H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection…arrow_forward
- There are some temperature measurements of this month in San Francisco and Fresno. The sample size in San Fransico is 23 and the sample size in Fresno is 17. The sample means and variances were computed and tabulated in the following table: Sample Size Sample Mean (oF) Sample Variance (oF) San Francisco 30 75.5 4 Fresno 11 73.3 6 a) Is there a significant difference in the mean temperature between San Francisco and Fresno at a significance level of 5%? Assume that the population variances in both cities are the same. b) Based on the measurements, what are the confidence interval of variances in San Francisco and Fresbi, respectively? Use a 90% confidence level. c) Use the above question (question b) as an example, how does the number of samples affect the width of your confidence interval?arrow_forwardThe weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.Refer to Exhibit 6-5. What is the random variable in this experiment? a. 8 ounces b. Weight of items produced by a machine c. Normal distribution d. 2 ouncesarrow_forwardA study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H1 H2 The test statistic, t, is -1.55. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) OB. Ho: H1 H2 H₁₁₂ D. Ho: H1 H2 H₁: H1 H2 Treatment Placebo μ H₁ H2 n 25 40 X 2.38 2.65 S 0.53 0.87arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman