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- PlzPlease solve with one t test 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…The waiting time T at a bank teller’s window between two successive customers isdistributed as exponential with a mean of four minutes. Find the following probabilities:(a) P(T ≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), and (d) P(T < 5). NOTE: Please explain each part, so the problem can be used as a Study Guide
- How could knowledge of probabilities be used to analyze the data given in the table?If age were held fixed, but a person put on 15 pounds, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)If a person kept the same weight but got 15 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)(e) Test each coefficient to determine if it is zero or not zero. Use level of significance 5%. (Use 2 decimal places for t and 3 decimal places for the P-value.) t P value β2 β38. High levels of cholesterol in the blood increase the risk of heart disease. For 14-year-old boys, the distribution of blood cholesterol is approximately Normal with a mean of 170 milligrams of cholesterol per deciliter of blood (mg/dl) and a standard deviation of 20 mg/dl. Which equation could be used to solve for the 30th percentile of this distribution? x-170 (a)-0.30 = 20 (b) 0.30 = X-170 20 (c)-0.52 = (c) 0.30 = X-170 20 X-170 (d) 0.52= 20 170-x 20
- An occurrence sampling study of students in the classrooms concluded that 40% of the students wear shorts to class in May. What is the range of values within which you feel the true percentage lies if (a) absolute accuracy is 10% and (b) relative accuracy is 10%?Suppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 2 units?2 of 21 For f(e)-- 2z, evaluate /(-4). -68 -30 %-36 1365
- 14. What is the significance of the coefficient of variation?If age were held fixed, but a person put on 15 pounds, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)If a person kept the same weight but got 15 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)(e) Test each coefficient to determine if it is zero or not zero. Use level of significance 5%. (Use 2 decimal places for t and 3 decimal places for the P-value.) t P value β2 β3What is the formula for finding the z-score? The z-score of the mean is always Z =