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8. {40.27 Points] DETAILS BBUNDERSTAT12 7.4.020.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test [as regards her baby}. Let x2 be the empathy score of a father. A random sample of 33 mothers gave a sample mean of E1 = 68.36. Another random sample of 37 fathers gave i2 = 58.70. Assume that 0'1 = 11.69 and 0'2 =11.59. (a) Let #1 be the population mean of x1 and let \"2 be the population mean ofxz. Find a 99% confidence interval for H1 - #2. [Round your answers to two decimal places.) lower limit upper limit (1:) Examine the condence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive. all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% condence level? 0 Because the interval contains only positive numbers, we can say that the mothers have a higher mean empathy score. 0 Because the interval contains both positive and negative numbers. we can not say that the mothers have a higher mean empathy score. 0 We can not make any conclusions using this condence interval. 0 Because the interval contains only negative numbers. we can say that the fathers have a higher mean empathy soc re. Need Help