MO21. An Article in the Journal of Sports Science (1987, Vol. 5, pp. 261-271) presents the results of an investigation of the hemoglobinlevel of Canadian Olympic ice hockey players. A random sample of 20 players is selected and the hemoglobin level is measured. Theresulting sample mean and standard deviation(g/dl) are x=15.23 and s-0.6117. Use this information to calculate a 95% two-sidedconfidence interval on the mean hemoglobin level and a 95% two-sided confidence interval on the variance. Assume the data arenormally distributed. Round your answers to 2 decimal places i.e., 0.00. Provide all the the necessary solutions.Blank 1sps Blank 2Blank 3so?s Blank 4

Answered: MO21. An Article in the Journal of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. Metal Tags on Penguins and Length of Foraging Trips. Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. From a sample of 344 foraging trips for metal-tagged penguins, the mean length was 12.70 days. From a sample of 512 foraging trips for electronic-tagged penguins, mean length was 11.60 days. Test whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. a. State hypotheses in terms of two means. b. Calculate the sample statistic XM - XE c. An estimate of the standard error for this difference of means is SE-0.2834. Calculate a test statistic to two decimal places. d. What is the correct theoretical distribution for this test? ☐Normal ☐t with degrees of freedom e. Find the p-value and draw a…
5.20 High School and Beyond, Part I: The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 200 students from this survey. Side-by-side box plots of reading and writing scores as well as a histogram of the differences in scores are shown below. (a) Are the reading and writing scores of each student independent of each other? ( )yes, they are paired since each student has both a reading score and a writing score ( )no, they are paired since each student has both a reading score and a writing score ( ) yes, because reading and writing are two different activities (b) Create hypotheses appropriate for the following research question: is there an evident difference in the average scores of students in the reading and writing exam? ( )Ho: μdiff = 0Ha: μdiff < 0 ( )Ho: μdiff = 0Ha: μdiff > 0 ( )Ho: μdiff = 0Ha: μdiff ≠ 0 (c) The…
Recall that small effects may be statistically significant if the samples are large. A study of small-business failures looked at 153 food-and-drink businesses. Of these, 107 were headed by men and 46 were headed by women. During a three-year period, 17 of the men's businesses and 7 of the women's businesses failed. (a) Find the proportions of failures for businesses headed by men (sample 1) and businesses headed by women (sample 2). These sample proportions are quite close to each other. p̂men = p̂women = Give the P-value for the z test of the hypothesis that the same proportion of women's and men's businesses fail. (Use the two-sided alternative.) The test is very far from being significant. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = (b) Now suppose that the same sample proportions came from a sample of 30 times as large. That is, 210 out of 1380 business headed by women and 510 out of 3210 businesses…
Women at Work. In the article “Job Mobility and Wage Growth” (Monthly Labor Review, Vol. 128, No. 2, pp. 33–39), A. Light examined data on employment and answered questions regarding why workers separate from their employers. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left-skewed variable. For that variable, do the following tasks. a. Determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning. b. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks.
Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. The data are shown in Table 7.3. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. Table 7.3 Serum estradiol and ethnicity in 25 premenopausal women, where 0=Caucasian and 1=African-American ID Serum_estradiol Ethic 1 94 0 2 54 1 3 31 0 4 21 1 5 46 1 6 56 0 7 18 1 8 19 1 9 12 1 10 14 0 11 25 0 12 35 1 13 22 1 14 71 0 15 43 1 16 35 1 17 42 1 18 50 1 19 44 1 20 41 0 21 28 0 22 65 0 23 31 0 24…
An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H₂SO4) and calcium chloride (CaCl₂) on the amount of black mud precipitate in the treatment of alkaline wastewater. There were three levels of each concentration, and two replicates of the experiment were made at each combination of levels. The relevant statistical analysis is provided in the following table. Source DF SS MS F P 2 457.65 228.83 8.845 0.008 H₂SO4 CaCl₂ 2 38783 19391 749.53 0.000 Interaction 4 279.78 69.946 2.704 0.099 Error 9 232.85 25.872 Total 17 39753 a) The appropriate statistical analysis to test would be: a. One-way ANOVA b. Two-way ANOVA C. Three-way ANOVA d. Two-Sample t-test b) Does there appear to be an interaction between concentration of sulfuric acid and calcium chloride at the .05 level? What does this say about the additive model? c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the treatment of alkaline wastewater be…
(a) The population 3, 4, 9, 14, and 20 has a mean of 10 and a standard deviation of 6.356. The z-scores for each of the five data values are z3 ≈ −1.101, z4 ≈ −0.944, z9 ≈ −0.157, z14 ≈ 0.629, and z20 ≈ 1.573. Find the mean and the standard deviation of these z-scores. mean standard deviation (b) The population 2, 6, 12, 17, 22, and 25 has a mean of 14 and a standard deviation of 8.226. The z-scores for each of the six data values are z2 ≈ −1.459, z6 ≈ −0.973, z12 ≈ −0.243, z17 ≈ 0.365, z22 ≈ 0.973, and z25 ≈ 1.337. Find the mean and the standard deviation of these z-scores. mean standard deviation (c) Use the results of part (a) and part (b) to make a conjecture about the mean and standard deviation of the z-scores for any set of data. The mean of the z-scores is always 1, and their standard deviation is 0. The mean of the z-scores is always 1 more than the standard deviation. The mean and standard deviation of z-scores are never the same.…
The accompanying data were read from a plot (and are a subset of the complete data set) given in an article. The data represent the mean response times for a group of individuals with closed-head injury (CHI) and a matched control group without head injury on 10 different tasks. Each observation was based on a different study, and used different subjects, so it is reasonable to assume that the observations are independent. y = Study 1 2 3 4 5 6 7 8 9 10 Mean Response Time CHI 302 492 658 684 922 1044 1421 1329 1481 1815 t = Control 250 360 475 (a) Fit a linear regression model that would allow you to predict the mean response time for those suffering a closed-head injury from the mean response time on the same task for individuals with no head injury. (Round your answers to four decimal places.) 525 610 740 880 920 1010 1200 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the…
In ongoing economic analyses, the federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have gotten information about the 1999 per capita income for a state (denoted by y) from its 1980 per capita income (denoted by x)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of sixteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). The data are plotted in the scatter plot in Figure 1. Also given is the product of the 1980 per capita income and the 1999 per capita income for each of the sixteen states. (These products, written in the column labelled "xy", may aid in calculations.) Florida Nevada West Virginia Hawaii Arkansas Utah Kansas Montana North Dakota Nebraska…
Women are recommended to consume 1700 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 12 women who participated in the study is shown below: 1784, 1677, 1583, 1984, 1910, 1737, 1522, 1574, 1853, 1546, 1707, 1866 Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.)
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
treatment conditions. a. Treatment 1 0 0 0 3 0 0 T=3 SS = 7.5 Treatment 2 2 3 1 3 2 1 T = 12 SS=4 Treatment 3 4 2 4 3 4 4 G=36 SStotal = 42 T = 21 SS = 3.5 Use an analysis of variance with a = .05 to determine whether these data indicate any significant mean differences among the treatments. Please organize all of your work on a source table E C

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