Test for the significance of the intercept and the slope using t-test with a=0.05.
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6. Answer the problems completely. Round off your answers up to four decimal places, with correct units and box or encircle them.
![An article in Air and Waste ["Update on Ozone Trends in California's South Coast Air Basin" (Vol. 43, 1993)]
studied the ozone levels on the South Coast air basin of California for the years 1976–1991. The author believes
that the number of days that the ozone level exceeds 0.20 parts per million depends on the seasonal
meteorological index (the seasonal average 850 millibar temperature). The data follow:
Year
Days
Index
Year
Days
Index
1976
91
16.7
1984
81
18.0
1977
105
17.1
1985
65
17.2
1978
106
18.2
1986
61
16.9
1979
108
18.1
1987
48
17.1
1980
88
17.2
1988
61
18.2
1981
91
18.2
1989
43
17.3
1982
58
16.0
1990
33
17.5
1983
82
17.2
1991
36
16.6
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6. Test for the significance of the intercept and the slope using t-test with a=0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9f2fdbe-c6f4-4010-82ae-6e605629d3a7%2Fd5a128d0-f55d-4daa-908a-9ff4bd536619%2Fyz9rszi_processed.png&w=3840&q=75)
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- The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): Table: Economic Dynamism ($) of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions: (i) Determine sample mean x :i Determine sample mean x : Enter in decimal form to nearest ten-thousandth. Do not enter units of measure. Examples of correctly entered answers: 0.0015 0.0000 136.7000 99.0070 36.9128 (ii) Determine sample standard deviation s : Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 0.0001…The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013). Table: Economic Dynamism of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. (iv) Determine sample mean x :iv Determine sample mean x : Enter answer to nearest ten-thousandth, without "$" sign. Examples of correctly entered answers: 11.2385 0.0079 3.0500 7.4000 (v) Determine sample…The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013). Table: Economic Dynamism of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. μ < $60.29 B. p < $60.29 C. μ = $60.29 D. p = $60.29 Enter letter corresponding to correct answer (ii) Which of the following…
- The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): Table: Economic Dynamism ($) of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions (iv) Determine t score corresponding to desired confidence level Enter value in decimal form rounded to nearest hundredth. Examples of correctly entered answers: 2.01 0.37 0.60 0.00 (v) Determine error bound of the mean: Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers: 0.0000 0.0003 3.0060 2.0700…The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): Table: Economic Dynamism ($) of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions: (vii) Using the confidence interval, select the correct description of the result of the survey: A. We estimate with 95% confidence that the true proportion mean economic dynamism for middle-income countries is between $40.21 and $47.54. B. We estimate with 95% confidence that the proportional economic dynamism for middle-income countries is between $40.21 and $47.54. C. We estimate…The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013). Table: Economic Dynamism of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. (x) Select the statement that most correctly interprets the result of this test: A. The result is statistically significant at .05 level of significance. Evidence supports the claim that the mean economic dynamism for a middle-income…
- The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013). Table: Economic Dynamism of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. (vii) Calculate and enter test statistic Enter value in decimal form rounded to nearest ten-thousandth, with appropriate sign (no spaces). Examples of correctly entered answers: –2.0140 –0.0307 +0.6000 +1.0009…How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures, in degrees Celsius, and mean coral growth, in centimeters per year, over a several‑year period at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (b) Find the correlation ?r step by step. Round off to two decimals places in each step. First, find the mean and standard deviation of each variable. Then, find the six standardized values for each variable. Finally, use the formula for ?r . Round your answer to three decimal places.2. Given the data, test whether there is a relationship between the number of years in college (X) of thestudents and their subsequent yearly income at 5% level of significance.
- The article “Assessment of Dermopharmacokinetic Approach in the Bioequivalence Determination of Topical Tretinoin Gel Products” (L. Pershing, J. Nelson, et al., J Am Acad Dermatol 2003:740–751) reports that the amount of a certain antifungal ointment that is absorbed into the skin can be modeled with a lognormal distribution. Assume that the amount (in ng/cm²) of active ingredient in the skin two hours after application is lognormally distributed with μ = 2.2 and σ = 2.1. a) Find the mean amount absorbed. b) Find the median amount absorbed. c) Find the probability that the amount absorbed is more than 100 ng/cm². d) Find the probability that the amount absorbed is less than 50 ng/cm². e) Find the 80th percentile of the amount absorbed. f) Find the standard deviation of the amount absorbed.How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning (a) Make a scatterplot. Which is the explanatory variable? The plot shows a negative linear pattern. Explanatory Variable: How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data…Use tables to express and represent the descriptive statistics for thevariables below. Years GDP growth (annual %) Gross capital formation (annual % growth) Labor force participation rate, total (% of total population ages 15-64) (modeled ILO estimate) 2019 0.892 2.556 71.38 2018 1.89 3.862 70.44 2017 0.997 6.158 71.15 2016 1.375 -0.103 70.31 2015 0.921 -6.13 68.74 2014 0.69 3.84 68.39 2013 0.518 5.473 68.53 2012 -0.614 -5.75 67.42 2011 1.73 8.972 67.63 2010 -1.457 -2.039 67.84 2009 -4.345 -18.427 68.15 2008 -0.8117 -8.009 68.46