A study of parental empathy for sensitivity cues and baby temperament higher scores mean more empathy was performed Let x be a

Question

A study of parental empathy for sensitivity cues and baby temperament higher scores mean more empathy was performed Let x be a random variable that represents the score of a mother on an empathy test as regards her baby Let x be the empathy score of a father A random sample of 38 mothers gave a sample mean of x 68 36 Another random sample of 38 fathers gave X 58 70 Assume that a 10 99 and 10 88 a What distribution standard normal or Student s t should be used to construct a confidence interval for Explain A Student s t should be used because o and are known A standard normal should be used because and are known A standard normal should be used because o and are unknown A Student s t should be used because and are unknown b Let be the population mean of x and let 2 be the population mean of x Find a 99 confidence interval for Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places

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