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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- In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.In the following data pairs, A represents birth rate and B represents death rate per 1000 resident population. The data are paired by counties in the Midwest. A random sample of 16 counties gave the following information. A: 12.5 13.2 12.6 12.1 11.4 11.1 14.2 15.1 B: 9.6 14.3 10.7 14.2 13.2 12.9 10.9 10.0 A: 12.5 12.3 13.1 15.8 10.3 12.7 11.1 15.7 B: 14.1 13.6 9.1 10.2 17.9 11.8 7.0 9.2 Do the data indicate a difference (either way) between population average birth rate and death rate in this region? Use ? = 0.01. (Let d = A − B.) What is the value of the sample test statistic? (Round your answer to three decimal places.)Given that x = 35, n = 52, and o = 4, then we can be 95% confident that the true mean,u, lies between the values andSolve these 4 questions please using the data table below
- A researcher was interested in finding out whether students’ sense of belonging in a course differed between students attending classes on campus and students attending classes on Zoom. They recruited five students attending classes on campus and five students attending classes on Zoom to test this. Students were asked to complete a survey measuring how much they felt like they belonged in the course. The scale ranged from 0 (not at all) to 10 (very much). Students’ data, which were non-normal, are provided below. Campus Zoom 3 7 2 5 7 4 1 8 6 9 What is your obtained statistic?A) 19.5B) 35.5C) 3D) 10 What is your critical statistic?A) 17B) 19C) 0D) 1 What is your conclusion?A) Students taking the course on campus reported a significantly lower sense of belonging compared to students taking the course on Zoom.B) Students taking the course on campus reported a significantly higher sense of belonging compared to students taking the course on Zoom.C) Sense of belonging…In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21A machine precision-cuts tubing such that ? = 38.00 in. and ? = 0.05 in. If the lengths are normally distributed, find the probability that a piece of tubing selected at random measures as follows. (Round your answers to four decimal places.) (a) greater than 38.05 in.(b) less than 38.045 in.(c) between 37.95 and 38.05 in. You may need to use the table of areas under the standard normal curve from the appendix.
- 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.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.For 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.
- Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.In the following data pairs, A represents birth rate and B represents death rate per 1000 resident population. The data are paired by counties in the Midwest. A random sample of 16 counties gave the following information. A: 12.5 13.2 12.6 12.1 11.4 11.1 14.2 15.1 B: 9.6 14.3 10.7 14.2 13.2 12.9 10.9 10.0 A: 12.5 12.3 13.1 15.8 10.3 12.7 11.1 15.7 B: 14.1 13.6 9.1 10.2 17.9 11.8 7.0 9.2A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. For the variable “amount of TV” (as it appears in this problem), what is the scale of measurement? a. nominal b. ordinal c. interval d. ratio A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. If the researcher’s hypothesis is correct, which of the following conclusions could be drawn? a. Fail to reject the null, watching violent TV does not increase…