The recommended daily calorie intake for most adults is 1,600 to 2,400. The histogram below shows the calories in approximately 3,000 meals ordered from Chipotle on Grubhub. Many burritos and burrito Recommended dietary allowance 6% of meals bowls end up with 900 to 2,000 calorie 1,000 calories. 5% This small bump is 4% mostly from sides of chips and guacamole. 3% 2% About 2 percent of meals had more than 2,000 1% calories. 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 2,600 2,800 While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and bell-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and bell-shaped with mean 1071 calories and standard deviation 298 calories. Use the 68-95-99.7 rule to answer the following questions. a. What is the approximate percentage of the Chipotle meals that have between 475 and 1667 calories? |% b. The middle 99.7% of Chipotle meals have between calories and calories? c. What is the approximate percentage of the Chipotle meals that have between 773 and 1369 calories? %The distribution of hits that an NFL linebacker takes during the pre-season is normal with a mean of 81 hits and a standard deviation of 10 hits. Which letter below shows the spot on the normal distribution where 75 hits would be? A B C D E OA O B OC OD OEOn the final exam in his history class Parker has a standardized score (z-score) of 1.7. This means that Parker's exam score O is 1.7 points above the mean score O has a standard deviation of 1.7. O has a score that is 1.7 times the mean score. O is 1.7 standard deviations above the mean score O would have to be multiplied by 1.7 to equal the mean score 9. [-/8 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the mean weight for men 18 to 25 years old is 172 pounds, and the standard deviation is 15 pounds. Assume that the weight for men 18 to 25 follows a normal distribution. In each part below, find the value of the z-score for the given weight. Round your answer to 2 decimal places. (a) 207 pounds Z = (b) 146 pounds. Z = (c) 175 pounds. Z = (d) 230 pounds. Z =Suppose that two graduating seniors, one a marketing major and one an accounting major, are comparing job offers. The accounting major has an offer for $45,000 per year, and the marketing student has an offer for $43,000 per year. Summary information about the distribution of salary offers for each major follows: Accounting: mean = $46,000 standard deviation = $1,200 Marketing: mean = $42,500 standard deviation = $900 For problems A and B calculate the appropriate z scores rounded to one decimal place. A) The z-score for the accounting major is: B) The z-score for the marketing major is: C) Why is one of the z scores positive and the other one negative? O Because the means are different. O Because the standard deviations are different. O Because the values being compared are different. Because one of the values is greater than the mean and the other is less than the mean. 11. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER The weights of a particular breed of dog are normally distributed with a mean of 86 pounds and a standard deviation of 3 pounds. The weights of a particular breed of cat are normally distributed with a mean of 9 pounds and a standard deviation of 1.5 pounds. Referring to the breeds described above, which animal is relatively heavier, a 90-pound dog or a 10-pound cat? Explain your response. The z-score of the dog (rounded to one decimal place) is z = The z-score of the cat (rounded to one decimal place) is z = Choose the appropriate response below: It is not possible to determine which animal is relatively heavier based on the information provided. O The cat is relatively heavier than the dog because the cat's z-score is higher than the dog's z-score. O The dog is relatively heavier than the cat because the dog's weight of 90 pounds is higher than the cat's weight of 10 pounds. O The dog is relatively heavier than the cat because the dog's z-score is higher than the cat's z-score