(e) Test the hypothesis Ho : B1 = 10 versus H1 :ß, # 10 using a = 0.01.Ho and conclude the slopev 10 at a = 0.01.(d) Test the hypothesis Ho : Bo = 0 versus H1 : Bo + 0 using a = 0.01.Ho and conclude that the interceptbe included in the model. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature(in °F) for that month. The past year's usage and temperatures are in the following table:Month Temp. Usage/1000Jan.21185.79Feb.24214.47Mar.32288.03Apr.47424.84May50454.58June59539.03July68621.55Aug74675.06Sept.62562.03Ot.50452.93Nov.41369.95Dec.30273.98(a) Test for significance of regression using a = 0.01. What is the P-value for this test? State the conclusions that result from thistest.The modelat a = 0.01. P-value0.000001.(b) Estimate the standard errors of the slope and intercept.Round your answer to three decimal places (e.g. 98.765)se( B 1) = 1Round your answer to two decimal places (e.g. 98.76)se ( Bo) = 1

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 38 waves showed an average wave height of x = 16.7 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. a) What is the value of the sample test statistic? (Round your answer to two decimal places.)
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x = 17.5 feet. Previous studies of severe storms indicate that ? = 4.0 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to two decimal places.) test statistic = critical value = State your conclusion in the context of the application. Reject the null…
In the area of Russia récords were kept on the relationship between the rain Fall in inches and the yield of wheat (bushels per acre ).the data for a 9 year period is as follow. Rain fall x 13.1,11.4,16.0,15.1,21.4,12.9,9.6,18.2,18.6. yield y : 48.5,44.2,56.8,80.4,47.2,29.9,74.0,74.0,76.8 the equation of the line of least squares is given as ^y= -9.12+4.38x. How many bushels of wheat peen acre can be predicted if it’s is expected that there will be 30 inches of rain?
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 37 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. (a) What is the level of significance? (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. (c)What is the value of the sample test statistic? (Round your answer to two decimal places.)
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. Scientists examined data on mean 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. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.6 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 (a) Use software to find the mean and standard deviation of both sea surface temperature ?x and growth ?y and then find the correlation ?r between ?x and ?.y. Enter your answers in the answer fields using the specific decimal place precision noted. ?¯ (rounded to four decimal places)=x¯ (rounded to four decimal places)= ?? (rounded to four decimal places)=sx…
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 35 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01.
Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month from January through October 2007. Use a TI-84 calculator to answer the following. Dozen Eggs Gallon of Milk 1.30 3.16 1.28 3.12 1.21 3.07 1.24 3.00 1.21 3.08 1.24 3.02 1.25 3.05 1.26 3.06 1.35 2.99 1.54 3.00 Compute the least-squares regression line for predicting the price of milk from the price of eggs. Round the slope and y-intercept to at least four decimal places.
Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs and month from February through September 2009. Use the TI-84 Plus calculator to answer the following. Dozen Eggs Gallon of Milk 1.65 3.54 1.69 3.43 1.80 3.52 2.01 3.58 1.77 3.50 1.88 3.40 1.67 3.47 1.96 3.47 Send deta to Eecel Part 1 of 4 (a) Construct a scatter plot of the price of milk y) versus the price of eggs (x).
The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 33 3 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? [Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) Round the coefficients to 4 decimal places. Hint: Use the variablet from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2013. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years
Please write complete thx. Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on each of three successive days, and the amount of dissolved sugars (in mg/mL) was measured on each sample. The results were as follows: Day 1 4.6 4.9 5.0 4.8 5.2 4.9 Day 2 5.0 5.0 5.1 5.5 5.1 5.3 Day 3 5.7 5.6 5.3 5.5 5.4 5.4 6.2 5.3 a) State the appropriate hypotheses to test for a difference in means. b) Construct the appropriate ANOVA table. c) Use the ANOVA table from part b) to test whether there is a difference in the mean amount of dissolved sugars between the three days at the .05 level. d) Is it applicable to follow up with Tukey-Kramer pairwise comparisons? If so, determine which pair(s) of means are significantly different using the Tukey-Kramer method. If not, explain why not.
Consider the two tables of quantities and prices: Quantities: Food & Transport Clothing Price: Food & Beverages Clothing 2010 2011 2012 20 35 25 29 35 40 37 2010 2011 2012 40 47 33 43 47 Compute the Paasche index for 2012 using 2010 as the base year. (1 d.p.)
The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below. Distance from Debris Distance Traveled 6.94 0.00 5.23 6.13 5.21 11.29 7.10 14.35 8.16 12.03 5.50 22.72 9.19 20.11 9.05 26.16 9.36 30.65 Simple Linear Regression Results: Dependent Variable: Traveled Independent Variable: Debris Sample size: 9 R (correlation coefficient) = 0.5657 R-sq = 0.32002088 Estimate of error standard deviation 8.670711 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept -7.6854587 13.332196 ≠ 0 7 -0.5764586 0.5824 Slope 3.2340908 1.7818117 ≠ 0 7 1.8150575 0.1124 a)What is the least squares regression line for the output given above? b) what is the predicted traveled distance given the distance from debris is 6.5 meters?

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