Tom Nook is investigating whether opening a luxury furniture…

Tom Nook is investigating whether opening a luxury furniture store on his island is viable. He thinks that he’ll be able to make a profit if the mean income of a villager on his island is greater than 80,000 dollars. He gets a simple random sample of 70 villagers and finds the mean income of the sample is 81,500 dollars with a standard deviation of 9,000 dollars. Run a test to determine whether Tom should open the store. Be sure to: a) state hypotheses (1 point) b) calculate a test statistic (2 points) Note: Keep all decimals in your computation and round the final answer to two decimals (-i.e 3.67).     c) calculate p-value. Report four decimals (-i.e 0.6734). (1 point) d) state your conclusions using a 5% significance level and interpret in context (2 points).

There are one hundred towns in a state, and each contains ex…

There are one hundred towns in a state, and each contains exactly one thousand citizens. A statistician in the state chooses a town at random and takes all its citizens as their sample. Is this a simple random sample from the population of citizens in the state?

You have calculated a 99% confidence interval for the mean n…

You have calculated a 99% confidence interval for the mean number of hours volunteers work each week for a large charity. For each adjustment described below, if all else stayed the same, do your best match whether the confidence interval would become wider, narrower, or neither one.

The following graph represents the probability histogram for…

The following graph represents the probability histogram for the number of heads in 100 tosses of a fair coin. (i.e., a box model with one ticket labeled 1 = head, and one ticket labeled 0 = tail, and we take the sum of 100 draws with replacement from the box).   Assume that in one realization of this statistical experiment, the draws come out as: 52 1’s and 48 0’s.   For each number below, find the phrase which describes it:   

Choose one of the prompts below. Write a 500-word argumentat…

Choose one of the prompts below. Write a 500-word argumentative essay in response. Your essay should cite the reading assignments and give personal examples to support your ideas.   a. Wang-Kildegaard writes, “Language learning is a marathon, not a sprint. Enjoy the journey and don’t rush yourself. Finding joy in the process can lead to better results and a more fulfilling experience.” What should ESL students and/or teachers do to make learning English less stressful and more enjoyable? Include quotes from Wang-Kildegaard, McCullough, and/or Nicholas to support your points.   b. McCullough writes, “Studies are showing what avid bookworms have professed all along: Fiction isn’t pointless. In fact, it’s one of the most enriching experiences you can have.” Is fiction valuable for more than juste entertainment? Include quotes from McCullough, Wang-Kildegaard, and/or Nicholas to support your points.