0. 1. Calculate mean from the raw-data collected by Mr. X, of 10 students and the following height in inches: 48, 52, 56, 50, 54, 62, 60, 58, 46, and 44 by applying: (a) Direct method, and (b) Indirect method.
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- According to the Pak Car Dealers, the mean price for used cars is Rs. 900,000. A Firm reviewed a sample data of 35% used car sales at the dealership. In an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices in Rupees for the sample of 30 cars are shown in the Tabl- Table 2: Used Cars Data (Price in Rs) 200000 700000 240000 250000 220000 740000 280000 285000 680000 430000 335000 280000 540000 400000 470000 350000 450000 860000 780000 510000 900000 720000 270000 350000 800000 275000 270000 950000 640000 540000A team of dermatological researchers were studying skin cancer among 60- 70 year old American men. Suppose you were part of the research team and took a sample of n = 70 men from this age group and calculate the mean number of skin cancer spots in the sample. Also suppose that it is known that the distribution of the number of cancer spots is right-skewed. How is the mean of the distribution of sample means related to the population mean of the number of cancer spots? The mean of the distribution of sample means is less than the mean of the number of cancer spots. The mean of the distribution of sample means is equal to the mean of the number of cancer spots. The mean of the distribution of sample means is greater than the mean of the number of cancer spots. We cannot be sure of any of the above answers until we examine the data.Four mixer trucks, A, B, C, D, are used to move concrete from the batching plant to the construction site. Table Q4 shows the amount of fuel, in litres, used per meter cube of concrete moved for each truck. Test the hypothesis that the mean amount of fuel used per meter cube of concrete moved is the difference for each truck. Use the 5% level of significance. Q4 - END OF QUESTIONS – please asap Table Q4: Amount of fuel, in litres, used per meter cube of concrete for each truck Truck A Truck B Truck C Truck D 0.21 0.21 0.22 0.22 0.25 0.21 0.20 0.18 0.20 0.21 0.21 0.21 0.21 0.18 0.21 0.19 0.20 0.22 0.20 0.18 0.19 0.20 0.19 0.20 0.18 0.23 0.19 0.20
- B5: a) [10] For the data set X = {1,2,6 ,2,8,6,5,2,4}, determine; i) The range and the mode. ii) The median and the inter-quartile range. The mean I and the standard deviation o (to 2 digit accuracy). b) [5] You want to display graphically some crime statistics of the incidence of four categories of crime for each of the last five years. You will need the graphic to show changes in both the total crime and the relative incidence of the four categories over this period. What sort of statistical diagram would you use, and why?A researcher believes there is a difference in the mean number of days before visible results begin to show among three types of facial creams that reduce wrinkle lines. Several consumers are randomly selected and given one of the three creams. Each participant then recorded the number of days it took to see results. The results are shown in the table. Based on these data, can you conclude that there is a difference between the mean number of days for these three creams? Use a 0.05 level of significance and assume the population distributions are approximately normal with equal population variances. Cream #1 20 20 14 17 15 Cream #2 13 15 15 11 13 Cream #3 14 18 15 16 17 10 Copy Data Step 1 of 2: Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.b) If each observation is given by the overall mean + product effect + residual, find the residuals for all above observations and write them in a table. Product effect for each observation is: the group mean - the overall mean So, the product effect is the same for all observations in a group (e.g., A). (Hint: you can use Microsoft Excel, R or SPSS for this)
- Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Salma is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Salma tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Salma conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before…Problem: The number of misdirected luggage cases reported for 5 consecutive weeks at the domestic airport were: 4, 5, 7, 8, 61. Compute the Mean, Median, Range, Interquartile Range, Variance and Standard deviation.6. A kinesiologist wanted to examine the effects of temperature and humidity on exercise performance. Each participant was asked to walk on a treadmill at a normal pace for 60 minutes, and the kinesiologist recorded the distance walked (miles). She assigned participants to one of 4 conditions that varied in temperature (normal or high) and humidity (normal or high). Mean distance walked by the four groups are shown in the table below. Assume a = .05 and Tukey HSD = 0.39. Normal temperature High temperature Normal humidity M = 3.00 M = 2.80 High humidity M = 2.80 M = 2.00 Complete the following conclusion: The factorial ANOVA revealed significant main effects of temperature [F (1, 24) = 25.00, p<.05] and humidity [F (1, 24) = 19.65, p<.05] and a significant Temperature x Humidity interaction [F (1, 24) = 9.25, p < .05].
- Department of Education was analysing the average mathematics test score in the schools in Victoria. It noticed that there were dramatic differences in scores among the schools. In the attempt to improve the scores of all the schools, department attempted to determine the factors that account for the differences. Accordingly, they took a random sample of 40 schools across the state and for each determined the mean test score last year, the percentage of teachers in the schools who have at least one university degree in mathematics, the mean age and the mean annual income of the mathematics teachers. The following is regression output from Excel. SUMMARY OUTPUT Regression Statistics Multiple R 0.597512 R Square 0.357021 Adjusted R Square 0.303439 Standard Error 7.724526 Observations 40 ANOVA df SS MS F Significance F…A group of 320 male students from the local high school have a mean mass of 70.41 kg. Records of similar students countrywide show a mean mass of 70.0 kg. A researcher wishes to determine whether the local students differ from the national group. what would be the research problem?The mean output of solar cells of three types is measured six times under random light intensity over a period of 5 minutes, yielding the results shown. Research question: Is the mean solar cell output the same for all cell types?
