- For the following data construct a frequency distribution, showing lower and upper class limits, frequency, cumulative frequency, relative frequency, cumulative relative frequency and midpoints. Use 6 intervals.
10, 13, 14, 15, 16, 19, 22, 23, 25, 28, 29, 33, 37, 39, 42, 47, 48, 54, 55, 59, 62, 69, 75, 78, 81. - A study was done on a new pain medication in which a sample 35 arthritis patients were given a new drug and another sample of 35 arthritis patients were given a placebo. They were then asked to rate their amount of pain an hour after taking their pills. Is this an experimental or an observational study.
- Find the mean, median and mode for the data in problem number one.
- For problem #3 what be the best measure of center and why.
- Describe what level of data each variable would fit.
a. Number of Fords and Chevy’s in a parking lot.
b. Weights of boys on a baseball team.
c. First three finishers in the Boston Marathon.
d. Average temperature per month in Anchorage Alaska. - In how many ways can you choose 5 people out of a group of 32.
- In how many ways can you choose a President, Vice-President, Secretary and Treasure out of a group 25 students.
- The following table represents the amounts of certain types of cars in a student parking lot.
Ford Toyota Dodge Chevy BMW
41 46 29 37 24
If I put the names of all of these cars in a hat and randomly choose one of them what is the probability I would choose.
a. A Dodge
b. A Chevy
c. A BMW
d. I would not choose a Ford. - If I take a true-false test with 20 questions, what are the following probabilities, if I guess on each question. A true-false test follows a binomial distribution.
a. I get exactly 11 correct.
b. I get at least 13 correct.
c. I get at most 10 correct.
d. I pass the test. I need to get 12 correct to pass the test. - If 30% of the students at a certain school are males. Consider a group of 10 males at that school.
a. State the random variable
b. Write the probability distribution
c. Draw a histogram
d. Describe the shape of the histogram
e. Find the mean
f. Find the variance.
g. Find the standard deviation - The following pertain to the normal distribution and finding z-scores. Find the appropriate z-scores.
a. The area to the right of z is 25%
b. The area to the left of z is 68%
c. The area between -z and z is 90%
d. The area to the left of z is 95%. - If test scores for SAT scores are normally distributed with a mean of 1900 and a standard deviation of 125. Find the following
a. The probability a student receives a test score greater than 2200
b. The probability a student receives a test score between 1750 and 2175.
c. The probability a student receives a test score less than 1800.
d. If Stanford only accepts students who score in the top 7% of the SAT score, what score would you have to receive to get into Stanford. - If I do not know the shape of the distribution of a random variable and I take samples of size 15, can I use the normal distribution for the shape of the distribution of their sample means. Yes or no.
- For the above question if I take samples of size 35 can I now use the normal distribution for the shape of the distribution of sample means.
- If I take a sample of 25 from a population that is normally distributed with a mean of 30 and standard deviation of 7. What is the mean and standard deviation for the distribution of sample means for this sample.
- For problem #12 if I take a sample of 40 students what is the probability their average SAT score will be greater than 2000.
- What is the probability that same sample of 40 students will have an average test score less than 1800.
- If there is a difference in the answers from #12 to #’s 16 & 17, why do you think that is.
- If I compute a confidence interval with a sample size of 200 and I then increase that sample to 300 what will happen to the confidence interval. Will it increase, decrease or stay the same.
- Find a 90% confidence interval for the SAT scores from problem #12, use a sample size of 40.
- If California has 400769 confirmed cases of COVID-19 and 7,769 deaths related to the disease find as 95% confidence interval for California’s death rate for COVID-19.
- The Governor of California claims the COVID 19 DEATH RATE IS LESS THAN 3%. Test this claim at a significance level of .05.
- If there are 5 buildings at a school and I randomly choose 20 subjects from each building what type of random sampling method is this.
- If at this same school I put every ones name in a hat and randomly chose 100 students what type of random sampling method is this.
- If I take samples of size 40 from the home prices in Los Angeles, which I know to be heavily skewed to the right.
a. What will be the shape of the sampling distribution of the means.
b. Suppose in my sample my mean is $350000 and my standard deviation is $975.00. What is the mean and standard deviation for the distribution of sample means.
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