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The CBEST is a test that individuals in California must take before they can become substitute teachers at the K-12 level. One portion of the exam is devoted to mathematics and it consists of 50 multiple choice questions that each have 5 possible options. Suppose Jim took the CBEST test and decided to randomly guess on all 50 questions. Use this information to answer the following question.  What is the probability that Jim gets no more than 17 correct? 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 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 $65,250? 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.

The CBEST is a test that individuals in California must take before they can become substitute teachers at the K-12 level. One portion of the exam is devoted to mathematics and it consists of 50 multiple choice questions that each have 5 possible options. Suppose Jim took the CBEST test and decided to randomly guess on all 50 questions. Use this information to answer the following question.  What is the probability that Jim gets anywhere from 13 to 21 correct? 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 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 37 times and he recorded the results each time. Out of those 37 times, he found the average time it took Captain America to run a mile was 116 seconds with a standard deviation of 8.2 seconds.  Based on the information above, carry out the appropriate hypothesis test at the

A survey was taken of students enrolled in STEM classes at Taft College. One of the questions asked which city the students live in, and one of the other questions asked about their major. The results are shown below. Use them to answer the probability question that follows.  Probability Table Bakersfield Taft Shafter Other Math 3 5 2 4 Chemistry 9 4 1 5 Biology 4 13 8 6 Engineering  14 15 2 1 Physics 3 1 0 2   What is the probability that a randomly selected student from this survey lives in Taft or Shafter?   Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.123. 

State all of the assumptions that are required for constructing a confidence interval for the population proportion as well as how you would check those assumptions. Be as specific as possible. 

A survey was taken of students enrolled in STEM classes at Taft College. One of the questions asked which city the students live in, and one of the other questions asked about their major. The results are shown below. Use them to answer the probability question that follows.  Probability Table Bakersfield Taft Shafter Other Math 3 5 2 4 Chemistry 9 4 1 5 Biology 4 13 8 6 Engineering  14 15 2 1 Physics 3 1 0 2   What is the probability that a randomly selected student from this survey lives in Shafter and is a chemistry major?   Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.123. 

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 $67,100? 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 recent study was conducted and it found that IQ’s are normally distributed with a mean of 100 and a standard deviation of 15. Use this information to find the following probability.  What is the probability that a randomly selected individual would have an IQ of at most 99?   Make sure to write your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 23.173% then you would type in 0.232.

A study was conducted where the heights of students in middle schools from around the county  were collected and analyzed. The data was normally distributed and they found that the mean height of those middle school students was 1.512 meters with a standard deviation of 0.07 meters.  Calculate the corresponding z-score for a student whose height was 1.5 meters tall.    Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 1.462178 then you would type in 1.462.