Julia enjoys jogging. She has been jogging over a period of several years, during which time her physical condition has remained constantly good. Usually she jogs 2 miles per day. During the past year Julia recorded how long it took her to run 2 miles. She has a random sample of 95 of these times. For these 95 times the mean was 15.60 minutes and the standard deviation s=1.80 minutes. Find the margin of error (round to 2 decimal places) and the 90% confidence interval for Julia’s average running time.

Colorado voted recently on legalizing recreational marijuana use. Prior to the election,

pollsters working in favor of legalization wanted to estimate the proportion of California

voters that were in favor of the proposed law. The pollsters wanted a margin of error of 0.01 and a confidence level of 95% for their estimate.

1. What sample size did they need? (Assume p* or  = 0.5.)
2. The pollsters’ budget was not big enough to accommodate a sample of that size. So, instead, they decided to go for a margin of error of 0.05. What sample size do they need? (Again, assume p* or  = 0.5.)

The processing time for the shipping of packages for a company, during the holidays, were recorded for 48 different orders. The mean of the 48 orders is 10.5 days and the standard deviation is 3.08 days. Raw data is given below. Use a 0.05 significance level to test the claim that the mean package processing time is less than 12.0 days. Is the company justified in stating that package processing is completed in under 12 days?

1) Write Ho (null) and H1 (alternative) and indicate which is being tested

2) Perform the statistical test and state your findings; Write answer as a statement

1. In preparing to do a study on the proportion of people who use internet gambling sites, you must determine how

many people to survey. If you want to be 99% confident that the population proportion is within 3 percentage

points, how many people must you survey?

2.The National Health and Nutrition Examination Survey reported that in a recent year, the mean serum cholesterol

level for U.S. adults was 202, with a standard deviation of 41 milligrams per deciliter. A simple random sample of

110 adults is choose, find the probability that the mean cholesterol level is greater than 210.

3. In a Gallup poll, 64% of the people polled answered yes to the following question: “Are you in favor of

the death penalty for a person convicted of murder?” The margin of error in the poll was 3% and the

estimate was made with 90% confidence. At least how

many people were surveyed?

Closer to the November election, better precision and smaller margins of error are desired. Assume the following margins of error are requested for surveys to be conducted during the electoral campaign. Assume a planning value of p^* = 0.50 and a 90% confidence level. What is the recommended sample size for each survey? Show work

1. For September, the desired margin of error is 0.045. ____________

2. For October, the desired margin of error is 0.035. ____________

3. For early November, the desired margin of error is 0.025. ____________

4. For pre-election day, the desired margin of error is 0.015. ____________

A survey of 24 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $57.00 per hour. The sample standard deviation was $6.02 per hour. (Use t Distribution Table.)

1. What is the best estimate of the population mean?

2. Develop a 98% confidence interval for the population mean wage (including benefits) for these employees. (Round your answers to 2 decimal places.)

We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 201 had kids. Based on this, construct a 90% confidence interval for the proportion π of adult residents who are parents in this county. Give your answers as decimals, to three places. < π

< π <

Give a real-life example of combination or permutation.

Come up with a quantitative variable (not mentioned in the text). Identify the appropriate scale of measurement. Identify whether this variable is discrete or continuous (or at least theoretically continuous). Identify all of the frequency distribution graphs that would be appropriate for this variable. Come up with a qualitative variable (not mentioned in the text). Identify the appropriate scale of measurement. Identify whether this variable is discrete or continuous (or at least theoretically continuous). Identify all of the frequency distribution graphs that would be appropriate for this variable. Come up with one example of when it would be better to use a quantitative variable. Come up with one example of when it would be better to use a qualitative variable.

1. To investigate whether giving chest-compression-only (CC) rather than standard cardiopulmonary resuscitation (CPR) to a heart attack patient will improve the victim's chance of surviving, researchers conducted 2500 trials. In each trial, the EMT present randomly assigned either CC or CPR at the site where a person had just experienced a heart attack. They found that of the 1,600 cases where CC had been given, 200 people had survived, whereas of the 900 cases where standard CPR had been given, the number was 180.
2. Identify the observational units. Choose one.
   1. Whether given CC or CPR instructions
   2. Whether heart attack victim survived or not
   3. Cases of heart attacks where emergency services were contacted
   4. Those people who survived
3. Identify the explanatory variable. Choose one.
   1. Whether given CC or CPR instructions
   2. Whether heart attack victim survived or not
   3. Cases of heart attacks where emergency services were contacted
   4. Those people who survived

1. Identify the response variable. Choose one.
   1. Whether given CC or CPR instructions
   2. Whether heart attack victim survived or not
   3. Cases of heart attacks where emergency services were contacted
   4. Those people who survived

2. In this context, which of the following is an (are) appropriate statistic value(s)? Choose all that apply.
   1. 200/1,600−180/900= -0.075
   2. 200/2500−180/2500= 0.008
   3. 200/1400−180/720= -0.107
   4. (200/1,600)/ (180/900) = 0.626

3. Which of the following is the appropriate null hypothesis? Choose one.
   1. Giving CC instructions is just as effective as giving CPR instructions at saving lives of heart attack victims.
   2. Giving CC instructions is more effective than giving CPR instructions at saving lives of heart attack victims.
   3. Giving CC instructions is less effective than giving CPR instructions at saving lives of heart attack victims.

4. Which of the following is the appropriate alternative hypothesis? Choose one.
   1. Giving CC instructions is just as effective as giving CPR instructions at saving lives of heart attack victims.
   2. Giving CC instructions is more effective than giving CPR instructions at saving lives of heart attack victims.
   3. Giving CC instructions is less effective than giving CPR instructions at saving lives of heart attack victims.
5. Use an appropriate randomization-based applet to find a p-value. Report and based on this p-value, what is the conclusion that we can get?
6. Use the 2SD method to find a 95% confidence interval for the parameter of interest. Report this interval and interpret the interval in the context of the study.

• Give one example (not listed in the textbook) for each scale of measurement (nominal, ordinal, interval, ratio).
• Come up with a relationship that you think exists between 2 variables. How would you study that using a correlation study?
• How would you study the relationship from b. using an experiment? Make sure to identify the independent and dependent variables in your study.

Suppose a test procedure about the population mean (u) is performed, when the population is normal and the sample size n is LARGE, then if the alternative hypothesis is Ha : u < u0, the rejection region for a level (alpha) test is .______________

Let's assume the first scatter plot shown is showing the amount of animals a person has for x and for y it is showing the amount of times per month they need to vacuum. Would this data show a positive correlation between animals owned and number of times vacuuming per month? For the second plot lets assume x is time of day and y is number of traffic accidents for that time of day. Would this plot show a negative correlation for traffic accidents relating to time of day? Would it be safe to say that both of these scenarios appear linear?

According to an​ article, 47​% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly selected​ adults, find the probability that the​ number, X, who have experienced a breakup at least once during the last 10 years is

a. exactly​ five; at most​ five; at least five.

b. at least​ one; at most one.

c. between five and seven​, inclusive.

d. Determine the probability distribution of the random variable X.

The data set contains the weight (grams) of 10 mice before and after the treatment. Weight of the mice before treatment before:

(200.1, 190.9, 192.7, 213, 241.4, 196.9, 172.2, 185.5, 205.2, 193.7)

Weight of the mice after treatment after:

(392.9, 393.2, 345.1, 393, 434, 427.9, 422, 383.9, 392.3, 352.2)

Is there enough evidence in the data that the treatment increases the weight population average weight by at least 150 grams?

Please answer with R programming code. Thanks!