A study was conducted and it found that the mean annual sala…

A study was conducted and it found that the mean annual salary for all California residents was $63,783 and the true standard deviation for all California residents was $7,240. Suppose you were to randomly sample 50 California residents. Use this information to answer the following question.  What is the probability that the average salary for the 50 individuals in your sample would be anywhere from $61,000 to $62,000? Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

IQ scores are normally distributed with a mean of 100 and a…

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Use this information to answer the following question. What is the probability that a randomly selected person will have an IQ score of at most 123? Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

A study was conducted and it found that the mean annual sala…

A study was conducted and it found that the mean annual salary for all California residents was $63,783 and the true standard deviation for all California residents was $7,240. Suppose you were to randomly sample 50 California residents. Use this information to answer the following question.  What is the probability that the average salary for the 50 individuals in your sample would be at most $64,000? Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

A study was conducted and it found that the mean annual sala…

A study was conducted and it found that the mean annual salary for all California residents was $63,783 and the true standard deviation for all California residents was $7,240. Suppose you were to randomly sample 50 California residents. Use this information to answer the following question.  What is the probability that the average salary for the 50 individuals in your sample would be at least $64,000? Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.54321 then you would type in 0.543.

Steve Rogers, also known as Captain America was out on a run…

Steve Rogers, also known as Captain America was out on a run and was able to run 13 miles in 30 minutes which means that on average it took him about 2 minutes and 18 seconds (138 seconds) to run each mile. Dr. Banner took note of the time and was curious if Steve just ran 1 mile at a time, if his average time would be under 2 minutes (120 seconds) per mile. Dr. Banner decided to put Captain America to the test and he had him run a mile 40 times and he recorded the results each time. Out of those 40 times, he found the average time it took Captain America to run a mile was 118 seconds with a standard deviation of 4.7 seconds.  Based on the information above, carry out the appropriate hypothesis test at the