1. 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 0.16 ounces and the new machine had a standard deviation of 0.09 ounces.

Carry out theappropriatehypothesis test at the =0.05level of significanceto determine if the variability of potato chip bag weights is lower with the new machine as opposed to the one the company is currently using.

Make sure to address all of the following in your response:

• Include your hypotheses. (You can use the Canvas Math Equation editor by clicking on thexto include the appropriate symbols and notation)
• Check any and all relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible)
• Specify your p-value rounded to 2 decimal places. (For example, if you had a p-value of 0.54321, then you would type 0.54)
• Include the decision you are making regarding the null hypothesis and specify why you are making that decision.
• Include a sentence conclusion in context of the given problem.

2. 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 theappropriatehypothesis test at the =0.05level of significanceto determine if the attendance at MLS games is higher on average than NBA games.

Make sure to address all of the following in your response:

• Include your hypotheses. (You can use the Canvas Math Equation editor by clicking on thexto include the appropriate symbols and notation)
• Check any and all relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible)
• Specify your p-value rounded to 2 decimal places. (For example, if you had a p-value of 0.54321, then you would type 0.54)
• Include the decision you are making regarding the null hypothesis and specify why you are making that decision.
• Include a sentence conclusion in context of the given problem.

3. In 2019, a study was carried out to determine whether a higher proportion of males in the US watch NFL games on television as opposed to females. For this study, the researchers surveyed 200 males and 200 females. 143 out of the 200 males stated that they watched NFL games on television while 116 out of the 200 females stated that they watched NFL games on television.

Carry out a difference of proportions test at the =0.05level of significanceto determine if the a higher proportion of males watch NFL games on television as opposed to females.

Make sure to address all of the following in your response:

• Include your hypotheses. (You can use the Canvas Math Equation editor by clicking on thexto include the appropriate symbols and notation)
• Check any and all relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible)
• Specify your p-value rounded to 2 decimal places. (For example, if you had a p-value of 0.54321, then you would type 0.54)
• Include the decision you are making regarding the null hypothesis and specify why you are making that decision.
• Include a sentence conclusion in context of the given problem.