Given that x̄ = 36, n = 47, and � = 4, then we can be 95% confident that the true mean,�, lies between the values and
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Given that x̄ = 36, n = 47, and � = 4, then we can be 95% confident that the true
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- A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.515), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.On the television game show Deal or No Deal, a contestant chooses from among 26 suitcases, each of which contains a dollar amount. Those 26 amounts (in order) are given below. 0.01 300 75,000 1 400 100,000 500 200,000 10 750 300,000 25 1000 400,000 50 5000 500,000 75 10,000 750,000 100 25,000 1,000,000 200 50,000 If one of these 26 prizes is selected at random (so that all 26 prizes are equally likely), the expected value of these prize amounts is equal to this mean: $131,478.6. Which of these relationships would be better described with a Spearman's rank coefficient than with a Pearson's coefficient? a. The association between income and educational attainment (measured in years of school) b. The association between hours of sleep and score on an exam C. The association between years aged and price of wine d. The association between ice cream sales and crime rates e. The association between number on NY Times Best Seller List and copies of book sold
- Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.Help to solve the problemThe temperature of a certain chemical process is thought to be related to the time it takes for the process to reach completion. Out goal is to that relationship so that we can use it to predict TIME TO REACH COMPLETION at various TEMPERATURES. 14 trials are set up and the time for the process to complete is measured for each of the different temperatures. The data is presented here:(data is in the image added to the question as well as more questions to answer)
- A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 49.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. |(c) Compute an approximation for P(p 20.495), which is the probability that there will be 49.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.Use the information below to answer questions 27 and 28. Consider again the NCHS-reported mean total cholesterol level in 2002 for all adults is 2003. Suppose a new drug is proposed to lower total cholesterol. A study is designed to evaluate the ecacy of the drug in lowering cholesterol. Fifteen patients are enrolled in the study and asked to take the new drug for 6 weeks. At the end of 6 weeks, each patient’s total cholesterol level is measured and the sample statistics are as follows:n = 15, x̄ = 195.9, and s = 28.7. Is there statistical evidence of a reduction in mean total cholesterol in patients after using the new drug for 6 weeks? 27. The test statistic to be used is ........................................... and the hypotheses to test are?(i). ........................................................................... (ii)................................................................................. 28. Given that the table or the critical value is -2.145, do we accept…On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
- A population of N = 8 scores has a mean of M = 10. After one score is removed, the mean is found to be M = 5 What is the value of the score that was added? A X = 45 B X = 35 C X = 50 D X = 80For questions 1 and 2, sketch an appropriate graph as part of your solution. A college entrance exam has a mean score of 150 with a standard deviation of 23. If the shape of the distribution of these exam scores is skewed to the right, what can be said about the proportion of students taking this exam obtain a score between 104 and 196? 1. A college entrance exam has a mean score of 150 with a standard deviation of 23. If the shape of the distribution of these exam scores is mound shaped and symmetrical, approximately what proportion of students taking this exam obtain a score: a) below 81? b) between 104 and 150? c) above 173? 2.Solve the problem. The systolic blood pressures of the patients at a hospital are normally distributed with a mean of 138 mmHg and a standard deviation of 12.8 mmHg. Find the two blood pressures having these properties: the mean is midway between them and 90 % of all blood pressures are between them. (Hint: the area between the two values is 0.9. Since they are symmetrical on either side of the mean, that leaves an area of 0.1 divided by 2 = 0.05 in the tails of the distribution.) ο οο 126.5 mm Hg, 149.5 mm Hg 116.9 mm Hg, 159.1 mm Hg 117.9 mm Hg, 160.1 mm Hg O.121.6 mm Hg, 154.4 mm Hg
