Blog

Suppose you have a standard deck of 52 playing cards and you randomly select 1 card and record whether or not the card that you drew was a “club”. You then return to the card back to the deck and repeat this process a total of 6 times so that you end up drawing 6 cards total. Find the probability that less than 4 out of the 6 cards that you drew were clubs.  Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23. Note: In a standard deck of playing cards, 13 of them are clubs and 39 of them are not. 

Suppose you flip a coin in the air one time and record the result (Heads or Tails) as it lands. Then you flip the coin again and record the result a second time. Find the following probability: What is the probability that you get “Heads” on both coin tosses?   Make sure to type in your answer as a decimal rounded to 2 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.12. 

Suppose you have a jar that contains 20 marbles: 5 red, 7 blue, 4 green, and 4 black. If you were to select 1 marble at random from the jar, what is the probability that you would pull 1 green marble?   Type in your answer as a decimal rounded to 2 places. For example, if you thought the answer was 54.321% then you would type in 0.54. 

Suppose you flip a coin in the air one time and record the result (Heads or Tails) as it lands. Then you flip the coin again and record the result a second time. Find the following probability: What is the probability that you get “Tails” on both coin tosses?   Make sure to type in your answer as a decimal rounded to 2 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.12. 

In 2019, a survey was conducted to try and determine whether or not MLS games drew in more fans than NBA games. The researchers randomly selected 40 games/matches from each sport and recorded the number of fans in attendance. In the 40 MLS games, there was an average of 20,976 fans per game with a sample standard deviation of 1,211 fans. In the 40 NBA games, there was an average of 18,321 fans with a sample standard deviation of 1,387 fans. Carry out the appropriate hypothesis test at the

Suppose you were trying to determine if there was a difference in the means of 4 different groups, and instead of using an ANOVA test, you decided to carry out 6 separate 2-sample t-tests to compare every possible combination of groups and you set the Type I error rate as

How many classes are you currently enrolled in at Taft College?

A study was conducted in 2018 comparing the average earnings (average annual salaries) of US citizens in each state. Suppose you are hired to provide a more recent comparison of the average salaries of US citizens by state. Specifically you are tasked to determine whether the average salary in California, Washington, and Arizona are identical. Assume that the annual salaries for each state are known to be normally distributed. The data table below shows the annual salaries of the 10 individuals from your survey from each state for this year.   Annual Salaries by State California Arizona Washington $78,080 $64,128 $79,966 $74,610 $64,310 $76,491 $76,127 $61,000 $79,674 $79,951 $61,473 $78,976 $78,808 $58,283 $80,517 $75,243 $62,311 $79,586 $78,191 $61,939 $77,306 $79,793 $58,499 $79,590 $74,424 $61,061 $80,506 $77,776 $64,618 $76,293   Carry out the appropriate hypothesis test at the

Suppose you have a standard deck of 52 playing cards and you randomly select 1 card and record whether or not the card that you drew was a “club”. You then return to the card back to the deck and repeat this process a total of 6 times so that you end up drawing 6 cards total. Find the probability that less than 2 out of the 6 cards that you drew were clubs.  Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23. Note: In a standard deck of playing cards, 13 of them are clubs and 39 of them are not. 

On average, how many hours per week do you spend working at your job(s)?