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- What type of data: The weight of cars crossing the Golden Gate Bridge. Qualitative Quantitative Discrete Quantitative ContinuousEvery year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were: Aptitude Score01234 5 Frequency134414 a.The mean (x¯) aptitude score: (Please show your answer to 1 decimal place.) The median aptitude score: The mode aptitude score: (Please separate your answers by ',' in bimodal situation. Enter DNE if there is no mode.)Association between PSA and prostate cancer PSA test result Prostate cancer Frequency + + 92 + − 27 − + 46 − − 72 (a) What are the sensitivity and specificity of the test? (b) What are the PV+ and PV − of the test?
- The quality department at ElectroTech is examining which of two microscope brands (Brand A or Brand B) to purchase. They have hired someone to inspect six circuit boards using both microscopes. Below result in terms of a number of defects (e.g., solder voids, misaligned components) found using each microscope. (Note that the data for two brands can be paired) State all the assumptions required to define the test statistic. State the test Statistic in notations first and then calculate its value Find the p-value Carry out test of hypotheses at 1% level of significance and state the conclusion in context of problem. Calculate 99% confidence interval for the true average difference in defects found for two microscope brands.Parametric Inferential StatisticsThe Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user's body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.5 watts per kilogram. A sample of 47 models was tested and the average of their Specific Absorption Rates (SARs) was found to be 1.18 watts per kilogram. Assume that the population standard deviation is 0.25 watts per kilogram. Construct a 90% confidence interval for the mean of the SARs for cell phones that received certification from FCC. Margin of error (if applicable): (Round the answer to 2 decimal places)
- The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user's body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.5 watts per kilogram. A sample of 47 models was tested and the average of their Specific Absorption Rates (SARs) was found to be 1.18 watts per kilogram. Assume that the population standard deviation is 0.25 watts per kilogram. Construct a 90% confidence interval for the mean of the SARs for cell phones that received certification from FCC. Confidence interval:( , ) Interpretation: We are % confident that the mean of the SARs for cell phones that received certification from FCC is between watts per kilogram and watts per kilogram.The Specific Absorption Rate (SAR) for a cell phone measures the amount of radio frequency (RF) energy absorbed by the user's body when using the handset. Every cell phone emits RF energy. Different phone models have different SAR measures. To receive certification from the Federal Communications Commission (FCC) for sale in the United States, the SAR level for a cell phone must be no more than 1.5 watts per kilogram. A sample of 47 models was tested and the average of their Specific Absorption Rates (SARs) was found to be 1.18 watts per kilogram. Assume that the population standard deviation is 0.25 watts per kilogram. Construct a 90% confidence interval for the mean of the SARs for cell phones that received certification from FCC. Point estimate: =watts per kilogram (Round the answer to 2 decimal places) Confidence level % and �= , also �2= , and 1-�2= Critical values: (Round the answer to 2 decimal places) left= right=Statistics for CS
- Scientists suspect that females can smell a particular chemical with an intensity greater than that of males. It is understood that there is a genetic component which affects the sensitivity to this chemical as well. 7 sets of full blood siblings are put near the chemical and asked to rate its intensity on a scale of 0 to 10. (0 means cannot smell.) Here are the results:Please state: 1. Qualitative (Categorical) or Quantitative (Numeric)• If Qualitative: Goodness of Fit or Test of Homogeneity/Independence?• If Quantitative: Proportions or Means?2. State the null and alternative hypotheses. 3. What distribution would you use to conclude the test, assuming all necessary assumptions weresatisfied? If Degrees of Freedom are involved, state them.Categorize these measurements associated with student life according level: nominal, ordinal, interval or ratio. 1) nationality of the students. 2) grade in the last exam(base of 100 points possible) 3) teacher evaluation (bad, good, very good, excellent) 4) weight of studentsCreating a visual representation here is challenging, but I can guide you on how to label key points on the symmetric bell-shaped graph with a mean of 510 and a standard deviation of 91: 1. **Mean (Peak)**: The highest point on the graph corresponds to the mean, which is 510 in this case. 2. **± 1 Standard Deviation**: Mark points on both sides of the mean at a distance of 91 units (standard deviation). These points would be at \(510 + 91\) and \(510 - 91\). 3. **± 2 Standard Deviations**: Similarly, mark points at \(510 + (2 \times 91)\) and \(510 - (2 \times 91)\) to represent values within 2 standard deviations from the mean. 4. **± 3 Standard Deviations**: Repeat the process for values within 3 standard deviations from the mean, at \(510 + (3 \times 91)\) and \(510 - (3 \times 91)\). Label each of these points on the x-axis, and you'll have a well-labeled symmetric bell-shaped graph representing the normal distribution with a mean of 510 and a standard deviation of 91.