&5 The following tables show the value (in billions of dollars) of U.Š. international tade in goods nd services for the years 2004-2006. Exports |mports A doods Servies Goods Segvices 344.7 1477.1 292.2 2004 807.5 2005 894.6 38.4 IC8 1-8 315.7 2006 l013.1 422.6 1861.3 342.8 Let 'E be a 312 matrix vepresenting the export data, and let 'm'be similar matrk for the import data. Find each of the fallowing matries land indicate what information each provides. a b) Et M
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- A customer in the wholesale garment trade is often entitled to a discount for a cash payment for goods.The amount of discount varies by vendor. A sample of 150 items selected from a population of 4,000invoices at the end of a period of time revealed that in 13 cases, the customer failed to take thediscount to which he or she was entitled. The amounts (in dollars) of the 13 discounts that were nottaken were as follows:6.45, 15.32, 97.36, 230.63, 104.18, 84.92, 132.76, 66.12, 26.55, 129.43, 88.32, 47.81, 89.01Construct a 99% confidence interval estimate of the population total amount of discounts not takenClassify the following statements as to whether they belong to the area ofdescriptive statistics or inferential statistics___________________ 1. At most 5% of SLU students are smokers.___________________ 2. Assuming that less than 20% of the Kalinga coffee beans weredestroyed by a typhoon these past months, we should expect anincrease of no more than P30 for a kilogram of coffee by the endof the year. ___________________ 3. An employee generalized that the average monthly salary of a regular employee in a certain company is P12,000. ___________________ 4. A study found out that all customers who have received a giftcertificate from a store 75% went back to the store to shop.___________________ 5. The average grade in statistics of 50 students is 83.60.Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour x R Hour x R Hour x R 1 3.25" 0.76" 7 3.05" 0.48" 13 3.21" 0.85" 19 3.31" 1.56" 2 3.20 1.23 8 2.65 1.08 14 2.83 1.36 20 2.99 1.09 3 3.12 1.48 9 3.02 0.66 15 3.22 1.01 21 2.75 1.08 4 3.39 1.31 10 2.85 1.28 16 2.74 0.45 22 3.18 0.46 5 3.07 1.22 11 2.73 1.17 17 2.96 1.48 23 2.84 1.53 6 2.96 0.37 12 2.87 0.45 18 2.64 1.34 24 2.74 0.92 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places…
- Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour x R Hour x R Hour x R 1 3.25" 0.71" 7 2.95" 0.58" 13 3.21" 0.80" 19 3.41" 1.56" 2 3.20 1.18 8 2.75 1.13 14 2.83 1.26 20 2.89 1.04 3 3.22 1.38 9 3.12 0.71 15 3.12 1.01 21 2.75 1.13 4 3.29 1.31 10 2.85 1.38 16 2.84 0.45 22 3.28 0.51 5 3.17 1.12 11 2.83 1.17 17 2.86 1.48 23 2.94 1.63 6 2.76 0.32 12 3.07 0.45 18 2.84 1.24 24 2.74 0.92 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places…Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour x R Hour x R Hour x R 1 3.25" 0.71" 7 3.15" 0.58" 13 3.11" 0.90" 19 3.31" 1.61" 2 3.20 1.18 8 2.55 1.13 14 2.83 1.31 20 2.99 1.14 3 3.32 1.38 9 3.12 0.76 15 3.22 1.06 21 2.55 1.13 4 3.29 1.21 10 2.85 1.38 16 2.94 0.45 22 3.38 0.51 5 2.97 1.22 11 2.83 1.22 17 2.86 1.48 23 3.04 1.58 6 2.96 0.37 12 2.87 0.35 18 2.84 1.24 24 2.74 0.97 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Part 2 Upper Control Limit (UCLx) = ? inches (round…A customer in the wholesale garment trade is often entitled to a discount for a cash payment for goods. The amount of discounts varies by vendor. A sample of 150 items selected from a population of 4000 invoices at the end of period of time revealed that in 13 cases, the customer failed to take the discount to which he or she was entitled . The amount of the 13 discounts that were not taken were as follows: 6.45, 15.32, 97.36, 230.63, 104.18, 84.92, 132.76, 66.12, 26.55, 129.43, 88.32, 47.81, 89.01 Construct a 99% confidence interval estimate of the population total amount of discounts not taken.
- The following table indicates the unit prices (in Rands) and quantities of three goods purchased every month by a bakery for the years 2022 and 2023.GOOD20222023Unit Price (p0)Quantity (q0))Unit Price (p1)Quantity (q1)EggsR2.602550R2.852700FlourR61.00109R64.00103Sesame seedsR115.00345R118.5039523 2023© The Independent Institute of Education (Pty) Ltd 2023Page 7 of 8Q.3.1Using 2022 as the base year, compute the price relatives in 2023 for eggs and sesame seeds. Interpret your answers.(10)Q.3.2Using 2022 as the base year, compute the Laspeyres price index for all of the goods for 2023. Interpret your answer.(8)Q.3.3Using 2022 as the base year, compute the Paasche price index for all of the goods for 2023. Interpret your answer.(7)[TOTALCalculate the test-statistic, t with the following information.n1=55, ¯x1=2.61, s1=0.67n2=25, ¯x2=2.49, s2=0.62Rounded to 2 decimal places.A market researcher for a consumer electronics company wants to study the media viewing behavior of residence of a particular area. A random sample of 40 respondents is selected and each respondent is instructed to keep a detailed Record of time spent in gaged doing contact across all screens in a particular week. The results are as follows: continuing time per week: x=54 hours, s=4.1 hours. 8 respondents have high definition on at least one television set.
- Find Cumulative Distribution Function (cdf) of X, F(x), x {0, 1, 2,...}A water park has an 18-minute ride through man-made rapids and waterfalls. When the ride is in full operation, riding times for passengers are uniformly distributed between 0 and 18 minutes. Suppose an electrical problem leads to a temporary stoppage. What percent of the riders had been on the ride for less than 2 minutes when the stoppage occured? And what percent of the riders had been on the ride between 10 and 15 minutes when the stoppage occured?A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.