I dont need explain, just result

Question 6:

A sample of 200 regular milk chocolate M&Ms are selected, and we are interested in estimating the percentage of all M&M's that are red. In the sample, 26 were counted to be red.

Which statistics procedure would be the most appropriate for the given context?

• t interval
• t test
• none of these
• z interval
• z test

After answering and submitting your response, compare your answers to the sample answers given. Note that we may not discuss all the aspects in every response, however, pay close attention to the large enough situation. There are multiple situations possible, so try other versions of the problem for more examples.

Explain your reasoning, discussing statistical practices such as randomness, independence, and having a large enough sample size:

Question 12:

Raquel is running for mayor in her local city election. In order to win, she must earn over 50% of the votes. So, Raquel decides to hire a couple of Statistics students to help her measure the progress in her campaign through polling. She is hoping to find sufficient evidence (?=0.05?=0.05)from the sample that she will in fact win the election with more than 50% of the vote. The Statistics students test the following hypotheses, where pp represents the proportion of all voters who will vote for Raquel. H0:p=0.5 HA:p>0.5 Which of the following statements would be true if a Type I error is made? (Select all that apply.)

1. Raquel ends up winning the election.

2. The students find a p-value less than 0.05

3. The sample data collected by the students that Raquel does not have more than 50% of the vote.

4. The students find a p-value greater than 0.05

5. The sample data collected by the students suggest that Raquel will have more than 50% of the vote.

6. Raquel ends up losing the election.

Question 13:

Mike claims that his company's automated paste filling machine will fill tubes of toothpaste with 7 ounces of toothpaste. You feel that the machine might possibly be underfilling the tubes and randomly sample 10 tubes from the machine and measure the amount of paste in the tubes. The sample appeared to have a left skew, and an average of 6.94 ounces.

Which statistics procedure would be the most appropriate for the given context?

• z interval
• t interval
• z test
• none of these
• t test

After answering and submitting your response, compare your answers to the sample answers given. Note that we may not discuss all the aspects in every response, however, pay close attention to the large enough situation. There are multiple situations possible, so try other versions of the problem for more examples.

Explain your reasoning, discussing statistical practices such as randomness, independence, and having a large enough sample size.

Question 1:

Insurance companies track life expectancy information to assist in determining the cost of life insurance policies. The insurance company knows that, last year, the life expectancy of its policyholders was 77 years. They want to know if their clients this year have a longer life expectancy, on average, so the company randomly samples some of the recently paid policies to see if the mean life expectancy of policyholders has increased. The insurance company will only change their premium structure if there is evidence that people who buy their policies are living longer than before.

Histogram of data