In a hypothesis test, a small value for the sample variance increases the likelihood that a statistically significant treatment effect will be detected. O True O False
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- The mean age of all CFA candidates is 28 years. The mean age of a random sample of 100 candidates are found to be 26.5 years. The difference of 1.5 years is called: the random error. the sampling error. the population error.A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 17 children selected at random and finds that their mean attention span is 27 minutes with a standard deviation of 5 minutes. If we assume that attention spans are normally distributed, find a 90% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit:What is a random variable? Give an example of an experiment and its associated random variable.
- The general meaning of a standard error is best described by which of the following? a. A standard error is another term for the estimated standard deviation of the population. b. If you go out about two standard errors on either side of 0, you can be about 95% confident that the unknown population parameter will be in the resulting interval. c. A standard error is essentially a standard deviation, specifically, the standard deviation of the sampling distribution of the estimate of the population parameter. d. All of these choices are correct characterizations of a typical standard error.Let’s suppose that you have a set of time-series variables, and you want to model the relationship between them. Read the situations given below and answer the questions. (200 words)a) Explain the statistical test if the linear combination (of time-series variables) is I(0).b) Which statistical test can be applied if all the series are integrated of the same order I(1). Justify your answerThe chart below is a summary of the main results of a test data set representing the population observed purchasing a virtual digital assistant. What does the accuracy rate indicate? Metrics Metric Value Accuracy (#correct) 178 Accuracy (%correct) 85.6 Specificity 0.88219 Sensitivity (Recall) 0.6 Precision 0.82400 F1 Score 0.88213 Success Class 1 Success Probability 0.4 Multiple Choice 85.6% of the population has purchased a virtual assistant. 60% of the observations are correctly classified. 85.6% of the observations are correctly classified. 14.4% of the observations are correctly classified. Explain all the incorrect answers also
- An ROC curve is plotted between............... (Multiple answers may be correct) Group of answer choices True positive rate and false positive rate True positive rate and (1-false positive rate) Sensitivity and specificity Sensitivity and (1-Specificity)A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 13 doors is made, and it is found that they have a mean of 2043 millimeters with a variance of 1024. Is there evidence at the 0.025 level that the doors are too short and unusable? State the null and alternative hypotheses for the above scenario.Which of the following is a distinguishing characteristic of using goalpost conformance for settingquality expectations?a. The use of Six Sigma performance standardsb. The use of the DMAIC (define, measure, analyze, improve, and control) problem-solving methodc. The use of Taguchi quality loss functions for control purposesd. The use of quality expectations expressed as a specified range around a targeted qualityperformance level
- One of the assumptions made in simple regression is that ______________. a. the error terms are exponentially distributed b. the error terms have unequal variances c. the model is linear d. the error terms are dependent e. the model is nonlinearThe Empirical Rule tells us that … a) __________ of the data lies within 1 standard deviation of the mean b) __________ of the data lies within 2 standard deviation of the mean c) __________ of the data lies within 3 standard deviation of the meanIn a random sample of 250 homeowners from a population of homeowners in a Florida resort community, 32 report that they had water damage during the past rainy season. The endpoints of a 95% confidence interval for the proportion of all homeowners who had water damage are closest to which of the following? a. 0.081 to 0.175 b. 0.073 to 0.182 c. 0.093 to 0.163 d. 0.087 to 0.169