Some believe that Captain America can run the fastest mile o…

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be at least 137 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

Some believe that Captain America can run the fastest mile o…

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be greater than 136 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

Some believe that Captain America can run the fastest mile o…

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be less than 138 seconds and more than 140 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

Some believe that Captain America can run the fastest mile o…

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be less than 135 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

A study is going to be carried out where researchers collect…

A study is going to be carried out where researchers collect GPA data from community college students to determine if GPA’s could be used as a predictor for future earnings (annual salaries) later on in life. Assume that GPA data is normally distributed with a mean of 2.98 and a standard deviation of 0.36.  Suppose 36 community college students are randomly selected to be in this study and the mean GPA of these 36 students is 3.10. Calculate the corresponding z-score for this sample average.  Make sure to round your final answer to 3 decimal places (i.e. z=1.468)

Some believe that Captain America can run the fastest mile o…

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be at least 136 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

A study is going to be carried out where researchers collect…

A study is going to be carried out where researchers collect GPA data from community college students to determine if GPA’s could be used as a predictor for future earnings (annual salaries) later on in life. Assume that GPA data is normally distributed with a mean of 2.98 and a standard deviation of 0.36.  Suppose 36 community college students are randomly selected to be in this study and the mean GPA of these 36 students is 2.89. Calculate the corresponding z-score for this sample average.  Make sure to round your final answer to 3 decimal places (i.e. z=1.468)

Some believe that Captain America can run the fastest mile o…

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be less than 138 seconds or more than 137 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.