The average height X and weight Y of males in population have a bivariate normal distribution with means µx 1.80 m., µY 90.0 kgs and standard deviations 0.30 m., ơY 15.3 kgs respectively. The correlation coefficient between X and Y is p = 0.80.
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- Consider a certain data set on shoulder girth and height of a group of individuals. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. Calculate R2 of the regression line for predicting height from shoulder girth, and interpret it in the context of the application.a sample of 60 grade 9 student age was obtained to estimate the mean age of all grade 9 students. x = 15.3 years and the population variance is 16The mean travel time from one stop to the next on the Coast Starlight Amtrak is 129 minutes, with a standard deviation of 113 minutes. The mean distance travelled from one stop to the next is 108 miles with standard deviation of 99 miles. The correlation between travel time and distance is 0.636. a). Find the equation of the regression line for predicting travel time.
- A researcher computes the correlation coefficient r =r= 0.6939 for an explanatory and response variable. What proportion of the changes in the response variables value is accounted for by the change in the explanatory variable's value? Give your answer to four decimal places.A population of marine gastropods has shell lengths that are normally distributed with mean μ=7mm and variance σ2=2.25mm2. What proportion of the population will have a shell length between 5.5 mm and 8.5 mm?A sample of 100 bears was treated like it was the whole population of Jellystone Park bears, and the mean weight was found to be 800 pounds with standard deviation 12 pounds, the mean blood pressure was 150 with standard deviation 6, and the sample correlation coefficient of weight with blood pressure was found to be .4. Based on this information, what is the regression slope for the SLR equation for predicting blood pressure using observed weight for Jellystone bears?
- Refer to the data in images. Test for a significant difference in the variances of theinitial white blood cell count between patients who did andpatients who did not receive a bacterial culture.Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1380 µm? At least 950 µm? (Round your answers to four decimal places.) less than 1380 μm at least 950 μm (b) What is the probability that the size of a single droplet is between 950 and 1380 µm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of…Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 μm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1440 µm? At least 975 μm? (Round your answers to four decimal places.) less than 1440 μm 9990 X at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1440 µm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest…
- Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.14.1 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 66 samples is 4.34.3 ppm with a variance of 1.001.00. Does the data support the claim at the 0.0250.025 level? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses.The heart rate of humans are normally distributed with a mean of 90.3 bpm and std. dev. of 7.3 bpm. What are the heartbeats that separate the lower 25% from the rest and the upper 20% from the rest?H0 : =150.00 kPa H1 :>150.00 kPa b) α= 0.01; sample variance : 1300 freq. table sample deviation : 36.0555 freq. table