Question

In: Statistics and Probability

A USA based cable broadband company wants to compare the average customer satisfaction scores between its...

A USA based cable broadband company wants to compare the average customer satisfaction scores between its east coast and west coast customer bases. The customer survey asks for a score between 1 and 5, with 1 being poor and 5 being excellent.
174 east coast customers are surveyed, and the sample mean is 3.51 with a sample standard deviation of 0.51. For the west coast, 355 customers are surveyed, and the sample mean is 3.24 with a sample standard deviation of 0.52.

a. Create a 95% confidence interval for the average score for west coast customers. Interpret this interval in context of the problem.

b. Now say you consider the difference between the average scores between west coast and east coast. Create a 95% confidence interval for the difference in average scores (specify what difference you are considering).

c. The company wants to investigate if the average score of the east coast customers is higher than the average score of the west coast customers. Write the null and alternative to test this hypothesis.

d. Compute the test statistic for this problem and describe how you would obtain the p-value for this test.

e. Say the p-value is very close to 0. In a sentence or two explain what that means in context of this problem.

Solutions

Expert Solution


Related Solutions

A coffee company uses a? data-based approach to improving the quality and customer satisfaction of its...
A coffee company uses a? data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its?package-sealing process, an experiment was conducted to determine the factors in the? bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap...
A coffee company uses a​ data-based approach to improving the quality and customer satisfaction of its...
A coffee company uses a​ data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its​ package-sealing process, an experiment was conducted to determine the factors in the​ bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate...
1. Customer satisfaction data for two similar stores are provided below. The scores are averages of...
1. Customer satisfaction data for two similar stores are provided below. The scores are averages of ratings on a scale of 1 to 10. Assume the populations are normally distributed. Store A: sample size = 25, sample mean = 7.9, population standard deviation = 1.4 Store B: sample size = 27, sample mean = 8.6, population standard deviation = 1.9 Construct a 95% confidence interval for the difference between customer satisfaction for Stores A and B. State your conclusion in...
An online retailer is studying product reviews and wants to see if customer satisfaction and timeliness...
An online retailer is studying product reviews and wants to see if customer satisfaction and timeliness of delivery are related. They randomly survey 100 customers. They found that 80% of those whose product arrived ahead of the estimated delivery date said they were satisfied with the product. Only 50% whose product did not arrive ahead of the estimated date said they were satisfied. Overall, 40% of packages arrived ahead of the estimated delivery date. 1. Based on this survey, fill...
4. Suppose a company wants to find the determinants of job satisfaction for its employees. The...
4. Suppose a company wants to find the determinants of job satisfaction for its employees. The company gathers some anonymous data from its employees and runs a regression with Job Satisfaction (on a 1 to 10 scale) as the response variable, and it gets the following results. ANOVA df SS Regression 4 9283 Residual 14 370 (a) What are the null and alternative hypotheses (regarding the b values) for the F-test for the regression? (b) What is the F-statistic for...
A department store claims that their average customer satisfaction rating is 28.5. We believe that this...
A department store claims that their average customer satisfaction rating is 28.5. We believe that this is too high so we randomly sample 40 customers and find a sample average of 25.2. If the standard deviation of customer satisfaction for this store is 13.1, what is the probability of observing a sample at least this far below the claimed mean, assuming the claim is true? Can someone please help me complete this on a TI-84?
Wainwright Industries: An Entirely New Philosophy of Business Based on Customer Satisfaction and Quality In the...
Wainwright Industries: An Entirely New Philosophy of Business Based on Customer Satisfaction and Quality In the early 1980s, Wainwright Industries, a manufacturer of stamped and machine parts, was facing nothing less than a crisis. Increased competition, along with intensified customer scrutiny, was forcing Wainwright to either improve quality or lose its competitive stature. In the face of this challenge, the employees of the company, led by CEO Arthur D. Wainwright, decided to make radical changes. It was clear that business...
An important part of the customer service responsibilities of a cable company is the speed with...
An important part of the customer service responsibilities of a cable company is the speed with which service troubles can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first five troubles reported on a given day: a) What is the probability that all five will be repaired on the same day? b) What is the probability that fewer than two troubles will...
In terms of financial outcomes, on average, firms with high customer satisfaction tend to: do better...
In terms of financial outcomes, on average, firms with high customer satisfaction tend to: do better than other firms do about the same as other firms do worse than other firms can’t really say with the information given
Cost and Customer Satisfaction A researcher is interested whether there is a linear correlation between cost...
Cost and Customer Satisfaction A researcher is interested whether there is a linear correlation between cost (in dollars) of internet service per month and customer satisfaction on a scale of 1 - 10 (with a 1 being extremely dissatisfied and 10 extremely satisfied). The researcher only includes internet service with similar download speed. The sample he collected is below. Cost (x) 15 18 17 11 9 11 12 19 18 22 Satisfaction (y) 6 8 10 4 9 6 3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT