Question: Suppose a data set is normally distributed with mean 15 and standard deviation of 3.5. One single data value has a z-score of 3.23. There

  • Suppose a data set is normally distributed with mean 15 and standard deviation of 3.5. One single data value has a z-score of 3.23.

There are 2 parts to this question!!!

Part a- Complete the sentence below to interpret what this score tells you and then find the x-value that matches this description.The data value is 3.23 standard deviations ____________________ (above or below) the mean.Its actual value is ________________. Round to 2 decimal places.

Part b- Find the proportion of scores that are more than z = +3.23, using your calculator.In other words, find P(z > 3.23). Report your answer to four decimal places

  • The weights of healthy adult male Labrador Retrievers are approximately Normally distributed with a mean of 77 pounds and a standard deviation of 6 pounds.

There are 3 parts to this question!!!

Part a- Find the proportion of healthy adult male Labrador Retrievers that weigh more than 85 pounds.Report your answer to four decimal places.

Part b- Find the proportion of healthy adult male Labrador Retrievers that weigh between 70 and 80 pounds.Report your answer to four decimal places.

Part c- A local veterinarian suggests special prescription food if the dog is in the bottom 5% of the weight distribution.What is the maximum weight that is prescribed the special food?Report your answer to two decimal places.Do not enter units.

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