Statistics Questions from Nov 23,2024

Browse the Statistics Q&A Archive for Nov 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The following table shows the number of individuals in a sample of 450 who indicated they support the new tax proposal. Political Party Support Democrats Independents We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed. The calculated value for the test statistic equals Question 5 (4 points) Assume that 20 people participated in a weight loss program for 6 months. Each person's weight before and after the program is determined and recorded. The following summarizes the results for the 20 people: Mean weight lost \( =9 \) pounds Sample standard deviation of weight lost \( =4.6 \) pounds Assume that the hypothesis test will be conducted to determine whether or not the weight loss program is effective using a 0.05 level of significance. What is the value of the test statistic? A study was recently conducted at a major university to estimate the difference in the proportion of business school graduates who go on to graduate school within five years after graduation and the proportion of non-business school graduates who attend graduate school. A random sample of 400 business school graduates showed that 75 had gone to graduate school while in a random sample of 500 non-business graduates, 137 had gone on to graduate school. Based on a 95 percent confidence level, what is the upper limit of the confidence interval estimate? -0.018 0.1034 -0.031 0.2340 The American College Health Association produced the National College Health Assessment (Andy Gardiner, "Surfacing from Depression," February 6,2006 ). The assessment indicates that the percentage of U.S. college students who report having been diagnosed with depression has risen from 2000 . The assessment surveyed 47,202 students at 74 campuses. It discovered that \( 10.3 \% \) and \( 14.9 \% \) of students indicated that they had been diagnosed with depression in 2000 and 2004 , respectively. Assume that half of the students surveyed were surveyed in 2004 . Conduct a hypothesis test to determine if there has been more than a 0.04 increase in the proportion of students who indicated they have been diagnosed with depression. Use a significance level of 0.05 and a p-value approach to this test. What is the difference between the following two regression equations? \[ \hat{y}=b_{0}+b_{1} x \] Choose the correct answer below. A. The first equation is for sample data; the second equation is for a population. \[ \mathrm{B} \text {. The first equation is for a population; the second equation is for sample data. } \] Question 2 (4 points) The American College Health Association produced the National College Health Assessment (Andy Gardiner, "Surfacing from Depression," February 6, 2006). The assessment indicates that the percentage of U.S. college students who report having been diagnosed with depression has risen from 2000 . The assessment surveyed 47,202 students at 74 campuses. It discovered that \( 10.3 \% \) and \( 14.9 \% \) of students indicated that they had been diagnosed with depression in 2000 and 2004 , respectively. Assume that half of the students surveyed were surveyed in 2004. Conduct a hypothesis test to determine if there has been more than a 0.04 increase in the proportion of students who indicated they have been diagnosed with depression. Use a significance level of 0.05 and a p-value approach to this test. Question 1 (4 points) The American College Health Association produced the National College Health Assessment (Andy Gardiner, "Surfacing from Depression," February 6, 2006). The assessment indicates that the percentage of U.S. college students who report having been diagnosed with depression has risen from 2000 . The assessment surveyed 47,202 students at 74 campuses. It discovered that \( 10.3 \% \) and \( 14.9 \% \) of students indicated that they had been diagnosed with depression in 2000 and 2004 , respectively. Assume that half of the students surveyed were surveyed in 2004. Indicate the margin of error for estimating \( p_{1}-p_{2} \) with \( \bar{p} 1-\bar{p} 2 \). Homework Heights \( (\mathrm{cm}) \) and weights \( (\mathrm{kg}) \) are measured for 100 randomly selected adult males, and range from heights of 138 to 192 cm and weights of 39 to 150 kg . Let the predictor variable \( x \) be the first variable given. The 100 paired measurements yield \( \bar{x}=167.53 \mathrm{~cm}, \bar{y}=81.41 \mathrm{~kg}, \mathrm{r}=0.305, \mathrm{P} \)-value \( =0.002 \), and \( \hat{y}=-101+1.02 \mathrm{x} \). Find the best predicted value of \( \hat{y} \) (weight) given an adult male who is 167 cm tall. Use a 0.01 significance level. - Click the icon to view the critical values of the Pearson correlation coefficient r . The best predicted value of \( \hat{y} \) for an adult male who is 167 cm tall is \( \square \mathrm{kg} \). uppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield \( \bar{x}=95.68, \bar{y}=93.05, r=0.863, P \)-value \( =0.000 \), and \( =10.14+0.87 x \), where \( x \) represents the IQ score of the wife. Find the best predicted value of \( \hat{y} \) given that the wife has an IQ of 103 ? Use a significance level of 0.05 . Click the icon to view the critical values of the Pearson correlation coefficient \( r \). \begin{tabular}{l} Evaluate the given binomial coefficient. \\ \( \binom{8}{3} \) \\ \hline\end{tabular}
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