3. What is the area of the tail region of the t-distribution wl freedom that falls below the t-value -2.179?
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- The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations ( +30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean () minus three standard deviations (-30). 34.13% 34.13% 13.59% 13.59% 2.19% 0. 13% 2.19% 0.13% -20 *lo *20 Use the figure to help you answer the following questions: The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP…Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 102 pounds and a standard deviation of 37.1 pounds. Random samples of size 17 are drawn from this population and the mean of each sample is determined.A researcher tests their new treatment for sleep disorder among a sample of 16 individuals whohave been diagnosed with a sleep disorder. The researcher knows that individuals diagnosedwith a sleep disorder tend to have sleep quality scores that form a normal distribution with a µ= 50 (the s is not known) and predicts that the new treatment will improve their sleep (higherscores mean higher improvement). After the treatment is administered to individuals in thesample, the mean is found to be M = 55 and the variance is s2 = 64. Conduct all of the steps ofhypothesis testing using an alpha = .05.
- Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significan tly lower than 30 minutes after a Kettleball workout at the 0.05 level of significance. Let µ1 = mean before workout. 68 66 66 77 77 75 62 61 83 68 72 | 69 76 82 before 79 after 80 | 61 69 Construct the appropriate confidence interval for the given level of significance. [three decimal accuracy] [three decimal accuracy]What is the cumulative area under the standard normal curve between z- score -1 and z-score 1 ?calcium levels in people are normally distributed with a mean of 9.6 MG and a standard deviation of 0.3 MG. Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. On the calcium level that is the borderline between low calcium levels, and those not considered low. Carry your intermediate, computations to at least four decimal places round your answer to one decimal place.
- The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure (a) What is the minimum UGPA that would stil place a student in the top 15% of UGPAS? (b) Betwoen what two values does the middle 50% of the UGPAS le? lako 26 3.30 seere l D (a) The minimum UGPA that would stil place a student in the top 15% of UGPAs is (Round to two decimal places as needed) (b) The middle 50N of UGPAs lies between on the low end and (Round to two decimal places as needed) on the high end.F(144) Generation Y has been defined as those individuals who were born between 1981 and 1991. A 2010 survey by a credit counseling foundation found that 60% of the young adults in Generation Y pay their monthly bills on time. Suppose we take a random sample of 190 people from Generation Y. Question content area bottom Part 1 The distribution of p is a aproximately normal. Calculate the standard deviaiton of p. σp=enter your response here (Round to four decimal places as needed.) What is the probability that between 106 and 120 of them will pay their monthly bills on time? P(Between 106 and 120 of them will pay their monthly bills on time)=enter your response here (Round to four decimal places as needed.)Help me answer questions in picture with the following information below: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 9 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that ?1 = 0.7 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of x2 = 2.00 hours per night. Previous studies show that ?2 = 0.9 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance.
- 5. The data shown to the right represent the age (in weeks) at which babies first crawl, based on a survey of 12 mothers. Complete parts (a) through (c) below. 52 30 44 35 47 37 56 26 52 47 28 28 Click here to view the table of critical t-values. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below. А. В. 4- 2- 1- -4+ 20 30 40 50 60 -2+++ 20 30 40 50 60 Age (in weeks) Age (in weeks) Is it reasonable to conclude that the data come from a population that is normally distributed? O A. No, because the plotted values are not linear. O B. No, because there are not enough values to make a determination. C. Yes, because the plotted values are approximately linear. D. Yes, because the plotted values are not linear. (b) Draw a boxplot to…NoneThe dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.1 8.9 11.8 8.4 7.2 10.1 12.1 8.7
