Can you answer questions 4 and 5? (d) Interpret the interval from part (c) in context.4. Construct and interpret a 95% confidence interval for the true mean response time of calls tothe bank's customer service center.5. Is the customer service center meeting its goal of answering calls in less than 30 seconds?Give appropriate evidence to support your answer. case closedNeed Help? Give Us a Call!Refer to the chapter-opening Case Study on page 000. The bank manager wants to know whetheror not the bank's customer service agents generally met the goal of answering incoming calls inless than 30 seconds. We can approach this question in two ways: by estimating the proportion pof all calls that were answered within 30 seconds or by estimating the mean response time µ.Some graphs and numerical summaries of the data are provided below.3525-15-Call response time (seconds)007,515.022.530.037.545.0Call response time (seconds)Descriptive Statistics: Call response time (sec)VariableNМeanSE MeanStDevMinimumQ118.35311.7611.0009.000Call response time(sec)2410.7581. Describe the distribution of call response times for the random sample of 241 calls.2. About what proportion of the call response times in the sample were less than 30 seconds?Explain how you got your answer.3. The bank’s manager would like to estimate the true proportion p of calls to the bank’scustomer service center that are answered in less than 30 seconds.(a) What conditions must be met to calculate a 95% confidence interval for p? Show that theconditions are met in this case.(b) Explain the meaning of 95% confidence in this setting.(c) A 95% confidence interval for p is (0.783, 0.877). Give the margin of error and show howit was calculated.

Name: Can you answer questions 4 and 5? (d) Interpret the interval from part
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: Can you answer questions 4 and 5? (d) Interpret the interval from part (c) in context.4. Construct and interpret a 95% confidence interval for the true mean response time of calls tothe bank's customer service center.5. Is the customer service center