A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating between 200 and 275. Round your answer to 4 decimal places The probability is :Listed below is a sample of 15 human pulse rates and body temperatures. Determine if correlation exists between human pulse rate and their body temperatures. If an individual measured their pulse rate at 70 bom, determine their best predicted body temperature. In your analysis, include your linear correlation coefficient, r, equation of the least squares regression line, and conclusion referencing definitive linear correlation. Pulse 68 77 82 84 71 65 61 78 59 73 64 66 69 74 73 Rate (bpm) Body 98.5 98.2 98 98.1 98.6 6 98.7 96.9 98.3 98.8 98.5 98 98.9 98.6 98 98.8 Temp in degrees F Please type your answers to the following 4 questions below: 1. What is the linear correlation coefficient r? 2. What is the equation of the least squares regression line? . What is your conclusion (linear relation)? What is the best predicted body temperature for a person with a pulse rate of 70 bpm? BIUSI BEE X2 Insert FormulaThe Gallop Poll recently conducted a study on job satisfaction. The claim is that more than 75% of workers are satisfied with their job, and sample statistics include 580 employed adults, with 516 of them saying that they are satisfied with their job. Use a p-value and a significance level of 0.05 to state a conclusion about the null hypothesis (reject H_0 or fail to reject H_0). Then state the conclusion based on the results of the test. Remember, when H_0 is rejected, then there is sufficient evidence to support the statement in H_1. When H_0 is not rejected, then there is not sufficient evidence to support the statement in H_1. Please use the box below to: 1) Tell me if you reject or fail to reject the null hypothesis. 2) Write a conclusion based on the results of the test. The conclusion should address whether you support or fail to support the alternative hypothesis. Insert FormulaAssume that men's heights have a mean of 70 inches and a standard deviation of 4 inches and that women's heights have a mean of 65 inches and a standard deviation of 3.5 inches. The tallest living man is Sultan Kosen who is 99 inches tall. The tallest living woman is Sun Fang who is 87 inches tall. Based on the given information, which of these people is relatively taller? Using statistics, explain why you answered the way you did B JUSTBEEE X2 X" Insert Formula