Part 2Each year the US Environmental Protection Agency (EPA) releases fuel economy dataon cars manufactured in that year. Below are summary statistics on fuel efficiency (inmiles/gallon) from random samples of cars with manual and automatic transmissions.MeanSDnCity MPGAutomatic Manual16.1219.853.584.5126263525-15-automaticCity MPGmanualDo these data provide strong evidence of a difference between the average fuelefficiency of cars with manual and automatic transmissions in terms of their averagecity mileage? Assume that conditions for inference are satisfied. City MPGDo these data provide strong evidence of a difference between the average fuelefficiency of cars with manual and automatic transmissions in terms of their averagecity mileage? Assume that conditions for inference are satisfied.(1) State the hypothesis.(2) Calculate the T-statistics.(3) Calculate the degrees of freedom.(4) Given the p-value of 0.0029, provide a conclusion to the hypothesis test.

t-Test:The t-distribution was invented by William S. Gosset to use in those scenarios where the…

Answered: Part 2 Each year the US Environmental…

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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We calculate the central tendency and variability in order to provide a summary of a data set. Why is it important that we calculate both central tendency and variability?
What is the Importance of Variability?
The semi-averages of the below given data are: Year Rainfall 1999 21 2000 11 2001 14 2002 16 2003 18
Based on the hourly incomes (in US dollars) of employees in two different branches at Citibank, which set of incomes has the most variability? You do not have to calculate anything, but you can if you want to. Just take a look at the incomes and determine which set has the most variability based on the definition.
Variability within groups can have a huge impact on your analyses. With increased variability, you are ________ likely to find significant differences between the groups. A. More B. Less
Why can’t the following mode predict 100% of the variability in the price of a used Corolla?
Just answer question number 1 Answers: 1. 2 vs. 3, q = 6.74, Reject H0, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q = 2.04, Do not reject H0, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q = 5.62, Reject H0, the mean scores of groups 2 and 1 differ significantly.
A violin student records the number of hours they spend practicing during each of ten consecutive weeks. 2.5 3.5 3 2.4 What is the first quartile for this data? 3.6 7 8.1 5.4 7 4.1 8.6
PART 3 A car mat manufacture been having quality issues with its production. A series of tests were carried out to measure the resulting pH of the most common carpet produced, Type 1, as a good indicator of quality. For the following questions show all calculations and formula used. What is the mean, mode and range of the pH after dyeing? Table – Type 1 pH after addition of dye 5.105 to 5.3 5.305 to 5.5 5.5.05 to 5.7 5.705 to 5.9 5.905 to 6.1 6.105 to 6.3 6.305 to 6.5 No. of samples 1 5 7 8 7 4 1 For pH after addition of dye calculate the standard deviation, showing your calculations in full. Plot the standard deviation graph in Excel showing the distribution. From your calculations and the data Give the minimum and maximum limits the pH may be, given that the distribution is normal. Calculate the probability that a randomly selected carpet sample will have a PH of (i) 6.1 and (ii) 5.4. Further tests were carried on a…
Box plots (Excel)– Analyze each of these cycle time data but on the same chart: C7, C8, C9. That means one chart showing three different box plots, with a single conclusion that addresses all three. Interpret outside value, mean score, N spread, Fence, upper lower and upper outer fences, adjacent, and outside and far out value. C7 C8 C9 19.98211 20.7142 20.21992 20.01223 20.65907 20.00799 20.02408 20.6437 20.02974 19.94534 20.45958 19.94026 19.86814 20.63716 19.796 20.18784 20.65365 20.01327 19.92074 20.54906 20.01064 20.0778 20.5228 20.07752 19.88045 20.47224 19.95005 20.08633 20.61675 20.13076 19.99881 20.62622 20.06755 20.04184 20.42231 20.13078 19.7936 20.61609 19.88701 19.93159 20.52705 19.87559 20.19998 20.58901 19.88053 20.18833 20.49057 19.9302 20.12368 20.68086 19.9738 19.91343 20.57999 19.8936 20.1602 20.34386 20.02487 20.09396 20.62949 20.09329 20.11419 20.66649 20.00717 19.9063 20.71718 20.04545 20.12964 20.43237 19.95537…
Answer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 a. Assuming that the ratio is a normal random variable, construct a probability plot and observe if the data points follow a linear trend.
What do the box plots tell you about the variability of the data? a. A has greater variability because its median and mean are greater than B b. B has greater variability because its range and IQR are greater tha c. B has greater variability because its median & mean are greater than A d. A has greater variability because its range & IQR are greater than B

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