Is there a significant difference between the average HDL levels of normal and obese adults?
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A study was undertaken to compare the average high-density lipoprotein (HDL) levels of normal and
obese adults in a certain community. HDL levels of a random sample of adults from this community
were measured (in milligrams per deciliter or mg/dL) and presented below.
Assume that the HDL levels of both the normal and obese adults follow the
unknown but equal population variances. Is there a significant difference between the average HDL
levels of normal and obese adults? Use a 5% level of significance.
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- During the COVID-19 pandemic, drive-up grocery delivery became very popular with customers. Two US retailers that provide this service are Target and Walmart. Many shoppers prefer to order from only one store to save time, but they wonder if they are spending more money shopping at one store rather than both. The data file Snacks has the prices for 20 identical snack items sold at both retailers in Mankato, Minnesota. Assume that µd is the mean difference (Target - Walmart) in the price of the items. Using α = .05, determine whether or not the price of these grocery items differed significantly. Perform your analysis using MegaStat. Download: Snacks d. State the Decision Rule for this analysis. e. Perform the analysis and identify the mean price of the Target items, the mean price of the Walmart items, and the mean difference between the two stores. f. State the test statistic and the p-value for your analysis. g. State the lower- and upper-limits of the 95% confidence interval. h.…Managers of an outdoor coffee stand in Coast City are examing the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivariate data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees Fahrenheit) for each of fifteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1. Temperature, x (in degrees Fahrenheit) Coffee sales, y (in dollars) 81.6 1534.6 39.5 2264.1 2400+ 51.5 2179.5 2200- 75.6 1531.0 72.5 1941.4 2000- 73.7 1670.5 1800. 69.6 1699.0 47.9 1983.3 1600- 47.9 2167.9 1400- 73.8 2020.3 54.9 1617.4 1200 58.7 1922.9 44.9 1803.9 38.6 1986.2 Figure 1 61.4 1812.6 Send data to calculator Send data to Excel The value of the sample correlation coefficient r for these data is approximately -0.643. Answer the following. Carry your intermediate computations to at…In an experiment on factors affecting tooth growth, 40 guinea pigs each received either 1 or 2 mg/day of vitamin C, delivered via orange juice (OJ) or an ascorbic acid pill (AA). The dependent variable was the length of odontoblasts (cells responsible for tooth growth). The descriptives are shown in the plot and table below. In a factorial ANOVA on odontoblast length, the F values for the main effect of dose, the main effect of delivery method, and the interaction were 31.35, 6.62, and 6.99, respectively. In simple effects analyses on the effect of delivery method, t was 4.03 when the dose was 1 mg/day, while t was .05 when the dose was 2 mg/day. 3. 30 - Method O OJ • AA 25 - Descriptives - Length 20 Dose Method Mean SD N 15 1 mg/day OJ 2 mg/day OJ AA 16.770 2.515 10 22.700 3.911 10 10 AA 26.140 4.798 10 1 mg/day 2 mg/day 26.060 2.655 10 Dose Report the full set of results in APA style, including degrees of freedom for all tests, the direction of all significant effects (a = .05), and…
- 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.) 1980 per 1999 per сapita сapita income, x income, y ху (in $1000s) (in $1000s) 38 Tennessee 8.3…The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, =y−41.990.51x . This line is shown in the scatter plot below. Based on the sample data and the regression line, complete the following. (a)For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices. (b)According to the regression equation, for an increase of…Urinary fluoride concentration (in parts per million) was measured for both a sample of livestock that had been grazing in an area previously exposed to fluoride pollution and a similar sample of livestock that had grazed in an unpolluted region. Do the accompanying data indicate strongly that the mean fluoride concentration for livestock grazing in the polluted region is larger than that for livestock grazing in the unpolluted region? Assume that the distributions of urinary fluoride concentration for both grazing areas have the same shape and spread. Use a significance level of 0.05. Group 1 (Polluted): 21.3 || 18.7 || 23.0 || 17.1 || 16.8 || 20.9 || 19.7 Group 2 (Unpolluted): 14.2 || 18.3 || 17.2 || 18.4 || 20.0 What is/are the Mann-Whitney Rank Sum critical value(s) for this problem? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 43 b 56 n 58,33 d 60
- 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 fifteen 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 fifteen states. (These products, written in the column labelled " xy ", may aid in calculations.) Question table 1980 per capita income, x (in $1000 s) 1999 per capita…According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.37. Suppose a random sample of 115 traffic fatalities in a certain region results in 56 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.1 level of significance? Find the test statistic, zo. 20 = (Round to two decimal places as needed.)Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 3. Create a 95% confidence interval for the population mean HCT.
- Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] Perform ANOVA to check if any of these populations have different mean hemoglobin concentrations. (Assume that all the ANOVA requirements such as normality, equal variances and random samples are met.) After you perform ANOVA perform a Tukey-Kramer post-hoc test at a significance level of 0.05 to see which populations actually have different means. As usual, round all answers to two digits after the decimal point. (Make sure you round off to at least three digits any intermediate results in order to obtain the required precision of the final answers.) For any questions, which ask about differences in means or test statistics, which depend on differences in means provide absolute values. In…Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivariate data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees Fahrenheit) for each of sixteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1. Temperature, x(in degrees Fahrenheit) Coffee sales, y(in dollars) 46.6 2141.1 56.9 1923.2 75.4 1990.8 73.1 1677.7 49.0 2012.9 57.3 1593.6 64.7 1855.5 37.1 1997.9 66.5 1744.9 50.9 2227.9 39.7 2241.5 53.3 1779.8 74.7 1527.4 81.3 1521.4 44.7 1792.0 69.3 1942.1 The value of the sample correlation coefficient r for these data is approximately…A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
