indicates that the actual average weight of the diamonds must exceed 0.5 in order that the process be operated at a profitable level.
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An experiment has been conducted to evaluate a new process for producing synthetic
diamonds. A number of diamonds have been generated by the new process with recorded
weights of 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat. A study of the process costs
indicates that the actual average weight of the diamonds must exceed 0.5 in order that the
process be operated at a profitable level.
a). Based on a 95% confidence level, estimate the actual
diamonds using the new process.
b). Carefully interpret this
c). Explain carefully whether or not there is sufficient evidence to conclude that the
process is operating at a profitable level using the estimation in part (a)
Given:
A number of diamonds have been generated by the new process with recorded
weights of 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat.
Sample size, n = 6
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and that of 84 preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In a. use the technology of your choice to obtain boxplots for the data sets, using the same scale. b. compare the data sets by using your results from part (a), paying special attention to center and variation.The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and that of 84 preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O’Connor, eds., Little, Brown&Co., 1959] a. use the technology of your choice to obtain boxplots for the data sets, using the same scale. b. compare the data sets by using your results from part (a), paying…
- The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and that of 84 preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on theWeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O’Connor, eds., Little, Brown&Co., 1959] a. use the technology of your choice to determine the mean and median of each of the two data sets. b. compare the two data sets by using your results from part (a).A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds is greater than 0.5 karat. To evaluate the profitability of the process, six diamonds are generated, with recorded weights 0.46, 0.61, 0.52, 0.48, 0.57 and o.54 karat. Do the six measurements present sufficient evidence to indicate that the average weight of the diamonds produced by the process is in excess of 0.5 karat? Use 5% level of significanceAn experiment has been conducted to evaluate a new process for producing syntheticdiamonds. A number of diamonds have been generated by the new process with recordedweights of 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat. A study of the process costsindicates that the actual average weight of the diamonds must exceed 0.5 in order that theprocess be operated at a profitable level. a). At 5% level of significance, is there sufficient evidence to conclude that the process isoperating at a profitable level? Your conclusion must be in terms of the P-Value aswell as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explaincarefully. c). What type of error is possible and describe this error in terms of the problem
- An experiment has been conducted to evaluate a new process for producing syntheticdiamonds. A number of diamonds have been generated by the new process with recordedweights of 0.46, 0.61, 0.52, 0.48, 0.57, and 0.54 carat. A study of the process costsindicates that the actual average weight of the diamonds must exceed 0.5 in order that theprocess be operated at a profitable level.a). At 5% level of significance, is there sufficient evidence to conclude that the process isoperating at a profitable level? Your conclusion must be in terms of the P-Value aswell as setting up a Rejection Region. You must show all necessary work.b). Which statistical distribution should be applied in this situation and why? Explaincarefully.c). What type of error is possible and describe this error in terms of the problem.d). Based on a 95% confidence level, estimate the actual mean weight of syntheticdiamonds using the new process.e). Carefully interpret this interval estimation.f). Explain carefully whether…(a) Calculate a 95% two-sided CI for the true average bond strength. (b) Calculate a 95% two-sided CI for the proportion of all such bonds whosestrength values would exceed 10. show major intermediate steps.What is the average NO3- concentration at the upslope site (3 decimal places)? What is the average NO3- concentration at the downslope site ( 3 decimal places)? Given the EPA drinking water quality standard is 10 mg/L of nitrate, is the upslope site safe to drink based only on nitrate content? (Enter yes or no) Is the downslope site safe to drink, based only on NO3- concentration? (Enter yes or no) Assuming the two sites are hydrologically well connected, the transit time between the two sites is fast, and the two sites cannot be treated as independent samples, what kind of t-test should be performed to show that the upslope site is greater than the downslope site? Enter the letter of your answer choice in the answer blank A. one-tailed unpaired t-testB. two-tailed unpaired t-testC. one-tailed paired t-testD. two-tailed paired t-test What is the calculated t statistic, rounded to 4 decimal places? Is the calculated t statistic greater or less than the critical t value reported by…
- A measurement scale that rates product quality as either 1 = poor, 2 = averi average and 3 = good is known as: A OBnominal C. ratio D. intervalThe Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and 84 preserved Etruscan male skulls was analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O’Connor, eds., Little, Brown&Co., 1959] a. Obtain normal probability plots, boxplots, and the standard deviations for the two samples. b. Based on your results from part (a), which would you be inclined to use to…Further to the information provided in the question above, we are informed that nails produced thatare shorter than the minimum acceptable length have to be scrapped. Consider that 4.8cm is still theminimum threshold for acceptable nail length. If the cost to produce one nail is 45 cents, how muchdoes the company incur in Rand losses due to scrapping?