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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 $63,250? 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.

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 Bakersfield or is a physics 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. 

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 8 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.

Scenario: A math professor is interested in determining the true proportion of all students at his school that prefer online math classes as opposed to in-person math classes. However, the professor didn’t have enough time to survey every student at the school. Therefore, the professor decided to survey students from each of his classes. He randomly selected 10 students from each of his 5 classes and asked them whether they would prefer to take their math classes online or in-person. 32 out of the 50 students stated that they would prefer in-person classes while 18 of the 50 stated they would prefer to take them online.    Consider the scenario above and answer the following questions: What is the population of interest? What is the parameter of interest? What is the sample statistic?  

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 given that they are a math 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. 

Suppose there is a club on campus with 6 members and 2 must be selected to represent the club on ASB. How many total pairs of representatives are there?

Construct a data set that consists of 6 values where the median and the mean are both 8. Type your answer in the following format: {Value1, Value2, Value3, Value4, Value5, Value6}

Consider the following sample data set below. Calculate the median.  {12, 2, 8, 12, 15, 24, 20, 6, 22, 6} Make sure to round your final answer to 2 decimal places. For example, if you thought the final answer was 87.6543 then you would type in 87.65

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 and is an engineering 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. 

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 105? 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.