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A study was conducted that found 15% of all US adults have some form of student loan debt. Suppose you were to randomly sample 100 US adults. What is the probability that at anywhere from 5 to 11 of them would have student loan debt? Use a binomial distribution to answer this question. Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type 0.65

Suppose you were to flip a fair coin 7 times and you recorded the number of “Tails” that you received. Find the probability that you would get exactly 2 “Tails” out of 7 coin tosses.  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.

Kawhi Leonard has made 49.1% of all of his shots throughout his career. If he were to play in a basketball game and attempt 33 shots, how many would he be expected to make? Make sure to round your answer to the nearest integer. 

A study was conducted to determine voter’s political party preferences in various cities in Kern County. The researchers conducting the study randomly sampled 100 individuals from these cities In the table below you can see the breakdown of how these individuals responded based on the city that they live in.  Political Party Preference by City Republican Democrat Other No Preference Bakersfield 41 36 7 16 Taft 53 20 9 18 Arvin 62 14 6 18   Use this information to carry out an appropriate test at the

A potato chip manufacturer was building a new manufacturing plant, and they were trying to decide whether or not they wanted to change the equipment/machine they were currently using to bag the potato chips. They had noticed a wide variability in the weight of the potato chip bags that were being produced with their current equipment, and they wanted to reduce the variability. Therefore, they decided to determine if a newer machine would help them reduce the variability in the weights of the bags. They randomly sampled the weights of 50 bags from their current machine and 50 bags from the new machine and both of them recorded an average weight of 10 ounces. However, the current machine had a standard deviation of 0.13 ounces and the new machine had a standard deviation of 0.08 ounces. Carry out the appropriate hypothesis test at the

A study was conducted that found 83% of all teenagers in the US own at least one video game console. Suppose you were to randomly sample 30 US teenagers. What is the probability that exactly 23 of them would own at least one video game console? Use a binomial distribution to answer this question. Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type 0.65

According to the Bureau of Labor Statistics, in 2019 U.S. households spent an average of $386.92 per month on food. Assume this data is normally distributed with a standard deviation of $112. Use this information to answer the following question.  What Z-score would correspond to a household that spent an average of $620 on food per month in 2019? Make sure to round your answer to 2 decimal places; i.e. if your answer was 87.654321 then you would type in 87.65. 

Suppose you are interested in constructing a 95% confidence interval to determine the true proportion of residents in Kern County that are planning on voting for the republican candidate in the next presidential election. If you want to make sure that you are within 0.1 of the actual proportion, how many residents would you need to include in your sample? Reminder: It’s impossible to survey a fraction of a person

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 Oregon 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 Oregon Washington $78,080 $67,701 $79,966 $74,610 $64,404 $76,491 $76,127 $67,205 $79,674 $79,951 $67,377 $78,976 $78,808 $66,084 $80,517 $75,243 $67,490 $79,586 $78,191 $68,983 $77,306 $79,793 $68,775 $79,590 $74,424 $69,105 $80,506 $77,776 $65,160 $76,293   Carry out the appropriate hypothesis test at the

A local landscaping company was running a promotional offer to plant drought resistant trees for homeowners, and the survival rate for those plants has been 91% in the past. Christine just bought a new home and she is looking to hire the company to plant 10 drought resistant trees in her yard. What is the probability that at least 9 of those trees survive? 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.