13.6. The price quotations of four different com- moaities for 1951 and 1965 are given below. Calculate the index number of 1965 with 1951 as base by using (i) simple average of price relatives: (ii) weighted average of price relatives. (Price in Rs) 1951 Commodity Weight 1965 4.5 2.0 3.2 2.5 4.5 3.0 1.8 1.0 5762 A凶 CD
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- Q3The following information was recorded in a toy store: Year 2016 Year 2017 Year 2018 Price Quantity Price Quantity Price Quantity Slime 6 50 9 60 10 56 Sticky tact 2 100 2 105 2 120 Stinky egg 4 60 4 50 6 60 Teddy Bear 10 30 11 26 12 24 Tortoise 8 40 11 39 12 36 Q3The following information was recorded in a toy store: (a) By using the above data, compute the Laspeyres Price Index for year 2018 by using year 2016 as base year. (b) Interpret your answer in part (a)). (c) By using the above data, compute the Paasche Price Index for year 2018 by using year 2016 as base year. (d) Which item has experienced the greatest inflation rate from year 2017 to year 2018? (Just state your answer, no calculation is needed in part (d)).The following table gives the prices of some food items in the base year and current year and the quantities sold in the base year and current year. Commodity 2000 2005 Price (K) Quantity Price (K) Quantity A B C 15 20 4 15 5 10 22 27 7 12 4 5 Compute the following price index numbers for 2005 from the above table: i. Laspeyre’s price index number ii. Paasche’s price index numberThe following data has been collected on the interarrival times of patients to an emergency department: 3.772, 1.761, 0.743, 15.988, 0.412, 7.541, 6.900, 3.447, 7.024, 1.061, 5.449, 0.309, 0.766, 4.807, 8.143, 0.093, 9.524, 0.012, 4.634, and 0.195 minutes. Estimate the squared coefficient of variation of the arrival process. Is the arrival process likely to be Poisson? Why or why not? Estimate the arrival rate?
- A mining company finds that daily lost-work injuries averages to 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?The following table gives the prices of some food items in the base year and current year and the quantities sold in the base year and current year. Commodity 2000 2005 Price (K) Quantity Price (K) Quantity A 15 15 22 12 B 20 5 27 4 C 4 10 7 5 Compute the following price index numbers for 2005 from the above table: Laspeyre’s price index number Paasche’s price index numberc. The proportion of buyers who actually make a purchase appears to be relatively constant over time. In 2015, among a sample of 389 on-line buyers, 159 purchased merchandise. In 2019, for a sample of 301 on-line buyers, 138 purchased merchandise. At the .05 level of significance, did the proportion of on-line buyers change from 2015 to 2019?
- Calculate the appropriate measure of skewness from the following distribution. Monthly income Upto 100 100-150 151-200 201-300 301-500 501-750 751-1000 1000 & above Frequency 9 51 120 240 136 33 9 213/14 The coefficient of determination of the expanded data set is =_%. Round to one decimal place as needed. The coefficient of determination of the expanded data set is =_%. Round to one decimal place as needed. Is the point corresponding to the 12th Car influential? Is it an outlier?six hundred adult americans were asked by telephone poll, "what do you think constitutes a middle-class income?" Include left endpoint, but not right endpoint. salary: R. Freq. < 20000 0.02 20000-25000 0.09 25000-30000 0.19 30000-40000 0.26 40000-50000 0.18 50000-75000 0.17 75000-99999 0.02 100000+ 0.01 A. what percentage if the survey answered not sure B. What percentage think that middle-class is from $25,000 to…
- 3. The following statements indicates the use of descriptive statistics EXCEPT A. Last school year, the ages of students at Poytechnic University of the Philippines are from 16 to 21 years old.B. A car manufacturer wishes to estimate the average lifetime of batteries by testing a sample of 50 batteries.C. A basketball player wants to know his average score for the past 10 games.D. Based on the data of NTC, the number of subscribers increased by 30% from 2015 to 2016.For the periods 2014 to 2019, ESKOM’s electricity percentage price adjustments are given in thefollowing table:2014/15 2015/16 2016/17 2017/18 2018/197.05% 31.70% 8.18% 1.62% 2.82%Table 1: Average percentage price adjustmentsb) Find the Geometric Mean for the same period Use your answer in a) and b) above to comment on the differences between the twomeans. What is the effect of outliers on both the two means?The accompanying data table contains the listed prices (in thousands of dollars) and the number of square feet for 20 homes listed by a realtor in a certain city. Square Feet Price ($000) 833 203 3,235 652 1,497 281 898 204 1,914 373 2,402 378 948 202 929 197 1,623 336 2,139 335 3,241 466 1,758 312 2,118 356 3,046 531 801 183 1,958 402 843 202 2,579 521 3,177 482 2,768 445 (b) Estimate the linear equation using least squares. Interpret the fitted intercept and slope. Be sure to include their units. Note if either estimate represents a large extrapolation and is consequently not reliable. Complete the equation for the fitted line below. Estimated Price ($000)…