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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- A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At ? = 0.05 has the proportion of cat owners changed over the 5-year period?A sample of ore is found to be 0.0022% gold and 0.059% silver. What is the percentage of matter in the ore that is neither gold or silver?ZB = %3D ZA = %3D AB=
- A team of UMD students have invented an inhalable drug that they think will help people breathe better during hard exercise. They test the drug on 3 volunteers (A, B, and C) by measuring their levels of arterial oxygen before receiving the drug (their base level) and then after 5 and 10 minutes have elapsed, respectively. The results are listed in the table. Oxygen level [mmHg] A B C base level 847076 after 5 minutes 85 74 81 after 10 minutes 90 75 98 We want to see how the drug work (better or worse) when compared to the base level. Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 5 minutes. X1b Xub X 1b -5.1783 Xub 11.8450 Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 10 minutes. -1.94 ? Xx 0% 23.94 ? × 0% ? × 0% X 0%A Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In Plant Science (May 2010), a group of Japanese environmental scientists investigated the ability of a hybrid tomato plant to produce miraculin. For a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a standard deviation of 8.0. Assume that x is normally distributed. (a) Find P(x >120).A medical student at a community college in city Q wants to study the factors affecting the systolic blood pressure of a person (Y). Generally, the systolic blood pressure depends on the BMI of a person (B) and the age of the person A. She wants to test whether or not the BMI has a significant effect on the systolic blood pressure, keeping the age of the person constant. For her study, she collects a random sample of 150 patients from the city and estimates the following regression function: Y= 15.50 +0.90B + 1.10A. (0.48) (0.35) The test statistic of the study the student wants to conduct (Ho: B, =0 vs. H4: B, #0), keeping other variables constant is. (Round your answer to two decimal places.) At the 5% significance level, the student will v the null hypothesis. Keeping BMI constant, she now wants test whether the age of a person (A) has no significant effect or a positive effect on the person's systolic blood pressure. So, the test statistic associated with the one-sided test the…
- 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…What is indicated by a Pearson correlation of r = +1.00 between Xand Y? Each time X increases, there is a perfectly predictable increase in Y Every change in X causes a change in Y All of the other 3 choices occur with a correlation of +1.00. Every increase in X causes an increase in YThe placebo effect is particularly strong in patients with Parkinson's disease. To understand the workings of the placebo effect, scientists measure activity at a key point in the brain when patients receive a placebo that they think is an active drug and also when no treatment is given. The same six patients are measured both with and without the placebo, at different times.The six differences (treatment minus control) had x = −0.331 and s = 0.172. Is there significant evidence of a difference between treatment and control? (Round your answer to two decimal places. Assume a 95% confidence level.)

