can you please explain where they got the number 72143 for the sum of x^2
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can you please explain where they got the number 72143 for the sum of x^2
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- Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…A random sample of 150 individuals (males and females) was surveyed, and the individuals were asked to indicate their year incomes. The results of the survey are shown below. Income Category Category 1: $20,000 up to $40,000 Category 2: $40,000 up to $60,000 Category 3: $60,000 up to $80,000 Edit Format Table Test at a = .05 to determine if the yearly income is independent of the gender. (CSLO 1,6,7) 12pt Male 10 35 15 V Paragraph BI U A Female 30 15 45 > 2 T² :The National Institute of Standard and Technology provided exact data on conductivity properties of materials. Following are conductivity measurements for 11 randomly selected pieces of a particular type of glass. Click this button to reveal the data Conductivtity 1.11 1.07 1.11 1.07 1.12 1.08 0.98 0.98 1.02 0.95 0.95 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1? Use a 5% level of significance level. a. How many samples of data are there in this study? 1 d. What type of test is this? One-side OF b. What test you would use for this problem? Sign Test for One-Sample + Ꮕ c. The null hypothesis of this test states that The Population Median conductivity is 1 OF
- The National Institute of Standard and Technology provided exact data on conductivity properties of materials. Following are conductivity measurements for 11 randomly selected pieces of a particular type of glass. Click this button to reveal the data Conductivtity 1.11 1.07 1.11 1.07 1.12 1.08 0.98 0.98 1.02 0.95 0.95 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1? Use a 10% level of significance level. a. How many samples of data are there in this study? b. What test you would use for this problem? Select an answer c. The null hypothesis of this test states that Select an answer d. What type of test is this? O One-side Two-sideA sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150The mean arterial pressure (or MAP, average arterial pressure in one cardiac cycle) is a measure for perfusion status. You are interested to know if it is possible to predict an adult's MAP (Y) based on the body surface area (X). Suppose you randomly selected 50 adults, and measured their mean arterial blood pressure (in mmHg) & body surface area (in m2). The results are reflected below: I = 1.6 s, = 0.5 y = 80.1 s, = 16.9 r 0.8 %3D %3D (Source: Nall, R. (2018, April 10). Mean arterial pressure: Normal, low, high readings plus treatment. Retrieved from https://www.healthline.com/health/mean-arterlal-pressurel There is a 99.7% chance that the actual MAP of those with body surface area of 1.66 m2 falls between and OA) 61.5; 102.0 B) 58.9; 104.5 O C) 66.5; 96.9 O D) 71.6; 91.9 E) 51.3; 112.1
- An article reported the following frequencies with which ethnic characters appeared in recorded commercials that aired on Philadelphia television stations. Ethnicity: Frequency: African American USE SALT Calculate th x² = | OHP₁ P₂P, P = 0.250 H₁: at least one p, = 0.25 Asian In a recent census, the proportions for these four ethnic groups are 0.177, 0.042, 0.734, and 0.047, respectively. Does the data suggest that the proportions in commercials are different from the census proportions? Carry out a test of appropriate hypotheses using a significance level of 0.01. (Let P P₂P and p be the population proportions of the four ethnic groups (African American, Asian, Caucasian, and Hispanic respectively) appearing in commercials on Philadelphia television stations.) State the appropriate hypotheses. O H₂: P₁ = 0.047, P₂ -0.011, p = 0.330, p = 0.005 H: at least one p, P Caucasian Hispanic 330 OH: P₁ = 0.120, P, = 0.028, p = 0.840, p = 0.013 H: at least one p, * P OH₂: P₁ = 0.177, P₂ = 0.042,…A pilot study was performed to investigate the effect of temperature, x (in degree Fahrenheit) on the electrical power consumed, y (in Watt) by an automotive factory. Other factors were kept constant and the data were collected from the study. The summary of the data are given as follows: n = 8, 2x = 401, 2301, x? = 22495 2y? = 666509, Σ > xy = 118652. %3D Compute the equation of the least squares regression line of y on x. Interpret the equation obtained in part (i). Predict the power consumption for a temperature of 65°F. (i) (ii) (iii) (iv) Compute the coefficient of determination and explain.An example of the statistical treatment of an urban spot speed study is given below. Table 10.2 shows a set of 130 observations of spot speeds made by timing vehicles through a "trap" of 88 feet. In this example, the stopwatch data are grouped into 0.2 sec classes (a 1/5 sec stopwatch was used to obtain the data). The first column of the table shows the midpoint of each group. The second column shows the frequency of the observations. The cumulative percent shown in the third column is obtained by dividing each cumulative frequency (for example, 8 vehicles took 5 sec or longer to pass through the trap) by the total number of observations and multiplying by 100 (8 x 100/130 = 6.2 percent). The next two columns are computed to develop the average and variance of the space distribution. The sixth column indicates the speed of each time class and the last two columns are used to obtain the average speed and variance of the time distribution. Spot Speed Study Calculations (1) (2) Number…
- For any given alpha level, x2crit _________.Roman, a health data officer, was tasked to create a report describing the height of all the children ages 12-15 years in a small town in Rome. He measured the height of all the 37 children (ages 12-15 years) in that small town. Answer the table showing the number and percentage of children ages 12 to 15 years according to sex. Sex f Rel f Male <2 decimal places> Female <2 decimal places> Σf <2 decimal places>An article published by the American Meteorological Society, gives a rating system used to classify Nor'easter storms that frequently hit New England which often cause havoc near the ocean. A severe storm has an average peak wave height of μ=16.4μ feet for waves near the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land off piers. Suppose that a reading of 32 waves showed an average wave height of x¯=14.3 feet. Previous reports of severe storms indicate that σ=3.5 feet. Does this information suggest that the storm is decreasing below the severe rating? Use α=0.01 to test the claim.What is the level of significance? State the null and alternate hypotheses. H0:H0:? p σ μ χ Select an answer < = ≠ > H1:H1:? μ p χ σ Select an answer ≠ > = <