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  • A normal distribution has a mean equal to 45. What is the standard deviation of this normal distribution if 2.5% of the proportion under the curve lies to the right of x = 52.84?

 (Round your answer to two decimal places.) 

  • A normal distribution has a standard deviation equal to 25. What is the mean of this normal distribution if the probability of scoring above x = 196 is 0.0228?

(Round your answer to one decimal place.) 

  • McCabe, Ricciardelli, and James (2007) recruited 107 men and 151 women to do a series of surveys pertaining to factors such as body image and body satisfaction. Using the Body Image Satisfaction scale, where higher scores indicate greater satisfaction, they found that men scored 19.10 ± 4.55 (M ± SD), whereas women scored 16.84 ± 5.66 (M ± SD) on this scale. Assuming these data are normally distributed, answer the following questions.

(a) What is the z-score for 19.10 in the sample of data for men?

z =  

(b) What is the z-score for 16.84 in the sample of data for women?

z =

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