Answered: During the days of coronavirus, people…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

Problem 24SE: Table 6 shows the year and the number ofpeople unemployed in a particular city for several years....

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During the days of coronavirus, people work most of the time from home. Many offices, schools, universities conduct their works, meetings, classes online. As a result of this new normal, it is assumed that on average, utility expenses per family (electricity, water, gas etc.) increases by 40% per month. For the verification of this assumption, four months data of percentage change of utility expenses of 10 families of similar size is given below and answer the following questions, the data is normally distributed:

	Percentage change of utility expenses
April	33.65	37.09	29.72	33.42	38.14	34.9	37.35	38.66	22.92	34.19
May	37.19	36.61	40.35	28.19	35.19	37.43	38.03	42.99	30.22	38.8
June	37.13	36.2	43.6	35.31	33.66	28.51	37.67	20.68	38.04	38.43
July	38.84	32.17	34.9	30.17	29.63	27.14	32.17	33.46	36.72	39.64

Writ//e the null and alternative hypothesis for this test.
Write your final conclusion about the assumption.
What will be the 95% confidence interval for the average percentage change of utility expenses on the basis of given data.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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