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One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 60 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 60 minutes for the cable technician to arrive. The customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 63.4 minutes with a standard deviation of 15.1 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.025 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables Кeypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive.

One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 60 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 60 minutes for the cable technician to arrive. The customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 63.4 minutes with a standard deviation of 15.1 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.025 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables Кeypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Hypothesis Testing Scenario A cable company claims excellent customer service, advertising that a technician will arrive within 60 minutes after a service call is placed. A customer challenges this, claiming it takes over 60 minutes on average. The customer conducts a study by sampling 25 other customers regarding technician arrival times. The sample mean is 63.4 minutes, with a standard deviation of 15.1 minutes. Assuming a normal population distribution, test the claim at a 0.025 level of significance. **Step 3 of 3: Draw a conclusion and interpret the decision.** ### Answer Options 1. **Option A:** We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. 2. **Option B:** We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. 3. **Option C:** We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. 4. **Option D:** We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. ### Analysis This problem involves hypothesis testing to determine if the average technician arrival time exceeds 60 minutes. You'll need to decide between rejecting or failing to reject the null hypothesis based on the evidence provided and the significance level.
Transcribed Image Text:### Hypothesis Testing Scenario A cable company claims excellent customer service, advertising that a technician will arrive within 60 minutes after a service call is placed. A customer challenges this, claiming it takes over 60 minutes on average. The customer conducts a study by sampling 25 other customers regarding technician arrival times. The sample mean is 63.4 minutes, with a standard deviation of 15.1 minutes. Assuming a normal population distribution, test the claim at a 0.025 level of significance. **Step 3 of 3: Draw a conclusion and interpret the decision.** ### Answer Options 1. **Option A:** We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. 2. **Option B:** We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. 3. **Option C:** We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. 4. **Option D:** We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that it takes over 60 minutes for the cable technician to arrive. ### Analysis This problem involves hypothesis testing to determine if the average technician arrival time exceeds 60 minutes. You'll need to decide between rejecting or failing to reject the null hypothesis based on the evidence provided and the significance level.
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