### Bank Branch Waiting Time Analysis**Scenario:**A bank with branches located in a commercial district and a residential area aims to improve customer service during the noon-to-1 P.M. lunch period. The current study focuses on waiting times, defined as the number of minutes from when a customer enters the line until reaching the teller. Data are collected from a random sample of 15 customers at each branch.**Objective:**Determine if there's a significant difference in mean waiting times between the two branches with a significance level ($\alpha$) of 0.1.**Hypothesis Testing:**- Let $\mu_1$ be the mean waiting time at the commercial district branch.- Let $\mu_2$ be the mean waiting time at the residential area branch.**Hypotheses:**A. $H_0: \mu_1 = \mu_2$ (Null Hypothesis) $H_1: \mu_1 \neq \mu_2$ (Alternative Hypothesis)**Task:**Determine the test statistic ($t_{STAT}$), rounded to two decimal places.> **Note:** The correct answer is option A, as indicated by the selected green dot. No data or calculation is provided for the test statistic. ### Commercial and Residential DataThis table displays data comparing commercial and residential metrics. The values represent specific measurements for each category.#### Commercial- 4.27- 5.28- 3.02- 5.02- 4.62- 2.72- 3.74- 3.11- 4.74- 6.23- 0.48- 5.03- 6.59- 6.01- 3.76#### Residential- 9.61- 5.96- 8.01- 5.79- 8.52- 3.69- 8.19- 8.33- 10.72- 6.96- 5.74- 4.11- 6.22- 9.78- 5.29There are no accompanying graphs or diagrams in this image. This tabulated data can be useful for analyzing trends and patterns between commercial and residential sectors.

The random variable is waiting time. There are two independent samples which are commercial and…

Answered: A bank with branches located in a…

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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A survey was conducted among the engineering students in a university. The survey is conducted to find the relationship between the test preparation time and their test achievement. The 50 respondents were asked 2 questions: a) How much time did you spend to prepare for the exam? and b) What is your test achievement? Based on the above statement, determine the type of statistics that is suitable for the study and briefly explain your answer.
A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…
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In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). Then find the lower limit and upper…
As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Prepare a managerial report that analyzes the data. Consider the complete data set collected over a one-year period. Safety Percent Under 21 Fatal Accidents per 1000 12 2.942 11 0.688 7 0.865 11 1.632 10 2.071 16 2.607 17 3.81 7 0.348 12 1.122 7 0.625 8 1.008 15 2.781 11 1.385 8 1.413 9 0.019 8 0.318 10 1.829 11 2.226 13 2.835 13 2.332 10 1.274 16 4.08 7 2.17 15 3.603 14 2.603 8 0.815 7 0.8 13 2.87 7 1.247 14 3.204 9 0.994 9 0.473 13 1.423 17 3.594 9 1.906 13 1.623 15 2.923 11 1.893 14 2.794 12 2.614 8 0.906 16 3.236 Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.) MeanStandard deviation Find…
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
A hospital wants to estimate the percentage of admitted patients who receive Medicare benefits. If we want to estimate that percentage based on examination of randomly selected patient payment records, how many patient records must be examined in order to be 90% confident that we are within four percentage points of the population percentage?
In a 2018 Poll 447 out of 486 supported universal background checks for all gun sales in the U.S. In a similar poll from 2015, 276 of 321 interviewed supported universal background checks. Is this significant evidence that the percent of the population that supports universal background checks in the U.S. has decreased during this time?
IBL Company manager asked his statistic team to give to the production department the data on the number of phones manufactured over the 17 months.. The data collected are as follows: Months 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 REQUIRED # of phones produced 2045 1566 1207 4563 5052 3465 2542 4134 3567 5163 4563 7453 2621 4772 4563 5052 2846 1. Calculate the following using the data provided on the table: a. the mean b. median c. mode 2. Find the Quartile 1, Quartile 3 and inter-quartile of the phones produced 3. Why is the quartile important? What purpose does it serve? 4. Why is median preferred to mean in certain circumstances? 5. How do we call data when Mode >Median >Mean and show with a diagram how such distribution looks? 6. Explain and compare parameters and statistics.
Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 16.3 million out of the 312.7 million Americans suffer from sleep apnea, or approximately 5.2%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2%, a simple random sample of 380380 commercial truck drivers is examined by a medical expert, who concludes that 29 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2%? Use a 0.01 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test.…
The table below shows the results of a survey in which 142 male and 145 female workers ages 25 to 64 were asked if they had at least one month's income set aside of emergencies.

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