Find the instantaneous form for each of the following phasors: 20 (a) A, = j10a, +a (b) B, = j4e-*a, + 6e*P*a, (c) C, = j2e=20%e¬J#lda -20z
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- Suppose you have four classifications: freshmen (f), sophomore (so), junior (j), and senior (se). You construct a dummy variable, one for each classification that takes on the value of (1) should that classification be true for that observation and 0 otherwise. Further assume that you estimate the following model: E[GPA]= .5*ACT+0*So+-0.42*J+{c}*Se How much higher/lower is a Junior's GPA, after controlling for ACT, than for the omitted category?For the 17 girls whoreceived the family therapy, the changes in weight duringthe study (which are in the data file Anorexia at the textwebsite) were11, 11, 6, 9, 14,−3, 0, 7, 22,−5,−4, 13, 13, 9, 4, 6, 11.(a) Verify that ¯y = 7.29, s = 7.18, and se = 1.74.(b) To use the t distribution, explain why df = 16 and a95% confidence interval uses the t-score of 2.120.(c) Verify that the 95% confidence interval for the populationmean change in weight μ for this therapy is (3.6,11.0). Interpret.Three male patients, pink, green and blue, came into a medical clinic with symptoms of lethargy (feeling tired) and chest congestion. A blood sample was taken for each patient to measure the hematocrit levels and to determine the hemoglobin saturation curves for each patient. The results are shown below with the saturation curve on the left and the hematocrit on the right. What should the oximeter readings be for Patients Pink, Green and Blue if arterial PO₂ was 80 mm Hg [Select) ? Which patient(s) has a significant reduction in total oxygen carrying capacity [Select] #? NO, Saturation of hemoglobin 100 80 60 40 20 Pink, 40 40 PO, (mm) 30 Bue 100 Pink Green Blue
- An instructor teaching an 8 am class randomly samples a group of students who regularly attend class and records the volume of coffee each person drinks after 9 pm each evening and the average number of hours each person sleeps each night. Do you expect the association to be positive, negative, or expect no relationship? Explain why.John calculated r -.44 for a set of n 10 pairs of values that represent the number of absences from class (X) and students midterm exam scores (Y). How much of the variability in exam scores can be predicted from the relationship with the number of absences?Data were collected on the times to recovery (in days) for athletes who had serious concussions. There were two data sets. One data set consisted of the recovery times of 200 athletes who were treated for their concussion and the other data set consisted of the recovery times of 200 athletes who received no treatment for their concussions. The histograms summarize the two data sets. For simplicity call the histogram on the left Figure 1, and the one on the right Figure 2. (a)Researchers claim that those who were not treated for concussion tended to have longer recovery times than those who were treated. According to this claim, which of these two histograms corresponds to the data for those who were not treated? (b) In no more than two sentences, justify your answer to part (a). (c) From Figure 1, find the (approximate) proportion of athletes that recovered in 55 or fewer days. (d) Which measure of centrality would you prefer to use for the data that led to Figure 2: the sample mean or…
- The correlation coefficient between people who get less than six hours sleep at night and caffeine intake is 0.39. This means that the hours of sleep a person gets has no relationship to the amount of coffee a person drinks True or False?A researcher studied the relationship between the amount of carbohydrates (x) and the amount of salt (y) in different food products. sample of 36 food products yielded these calculations: r = -0.1245, ŷ=0.5545– 0.1636x According to the correlation, if a food contains more carbohydrates, is it likely to contain more salt or less salt? Why or why not?A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Z-value p-value Single Policyholders n₁ = 440 Number making claims = 88 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. (to 2 decimals) (to 4 decimals) X Married Policyholders n2 = 840 Number making claims 126 We can conclude ✔ that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. X * )
- Suppose you have four classifications: freshmen (f), sophomore (so), junior (j), and senior (se). You construct a dummy variable, one for each classification that takes on the value of (1) should that classification be true for that observation and 0 otherwise. Further assume that you estimate the following model: E[GPA]= .5*ACT+.1*So+.2*J+.1*Se What is the omitted category? Enter 1 for Freshmen, 2 for Sophomores, 3 for Juniors, 4 for Seniors.A negative correlation means that as the values on X increase, the values on Y O increase decrease O stay the same both increase and decreasefirst picture is the background information

