In order to win a game, a player must throw two fair dice and the sum of the dice needs to be either 4 or less or 10 or more for the player to win.
What is the probability that the sum of the dice is 4 or less?
What is the probability that the sum of the dice is 10 or more?
What is the probability that the player will win the game?
In: Statistics and Probability
1. The lengths of pregnancies in a small rural village are
normally distributed with a mean of 263 days and a standard
deviation of 13 days.
In what range would you expect to find the middle 98% of most
pregnancies? Between ___ and _____
If you were to draw samples of size 38 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between ___ and _____
2. Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.2in and a standard deviation of 0.9in.
In what range would you expect to find the middle 98% of most
head breadths?
Between __ and ____
If you were to draw samples of size 38 from this population, in what range would you expect to find the middle 98% of most averages for the breadths of male heads in the sample?
3. The lengths of pregnancies in a small rural village are normally distributed with a mean of 265.3 days and a standard deviation of 12.7 days.
In what range would you expect to find the middle 50% of most pregnancies? Between ___ and _____
4. A population of values has a normal distribution with μ=213.5μ=213.5 and σ=36.5σ=36.5. You intend to draw a random sample of size n=138n=138.
Find the probability that a single randomly selected value is
greater than 211.
P(X > 211)
Find the probability that a sample of size n=138n=138 is
randomly selected with a mean greater than 211.
P(M > 211)
In: Statistics and Probability
Spend some time looking at the vehicles on the road. Look at the first 40 vehicles that drive by. Take note of the number of vehicles that are cars (sedans). Use the data you collect to construct confidence interval estimates of the proportion of vehicles that are cars (rather than trucks, vans, etc.). Report your confidence interval to the group. Why might people get different results? Is your sample likely a good representation of the total population of all vehicles? Why or why not? Make sure you show all your work and explain each of your steps to arrive at the confidence interval.
Noted as 26 sedans out of the 40 vehicle that drove by.
Please help me solve this problem. thank you.
In: Statistics and Probability
1. Express the
confidence interval (35%,42%) in the form of p±ME.
% ± %
2.
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of x=70 hours with a standard deviation of s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence.
What sample size should you gather to achieve a 0.45 hour margin of error? Round your answer up to the nearest whole number.
n = bacteria
If you can kindly answer both questions please I would really appreciate it. I have posted these questions several times and keep getting the wrong answers. Thank you so much
In: Statistics and Probability
A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science. A second sample of 100 different students was asked the same question in history. If 46 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the claim whether the difference between the proportions is due to chance. Use α = 0.02. Identify the claim, state the null and alternative hypotheses, find the critical value, find the standardized test statistic, make a decision on the null hypothesis (you may use a PValue instead of the standardized test statistic), write an interpretation statement on the decision.
In: Statistics and Probability
Please answer the last step for question 1. Answer it asap please. Thanks
1. Consider the following data for three different samples from three different populations:Consider the following data for three different samples from three different populations:
Sample 1 
Sample 2 
Sample 3 

0 
6 
6 

4 
8 
5 

0 
5 
9 

1 
4 
4 

0 
2 
6 

T = 5 
T = 25 
T = 30 
G = 60 
SS = 12 
SS = 20 
SS = 14 
∑X^{2} = 356 
Compute a oneway ANOVA, with α = .05.
Step 1: State your hypotheses in SYMBOLS. Step 2: Draw your distribution and shade in the critical region (remember that you have to compute df to find the CR). Step 3a: Calculate the test statistic. Step 4: Make a decision about your hypotheses. Step 5: Compute and interpret effect size

In: Statistics and Probability
A 98% confidence interval for the average height of the adult
American male if a sample of 286 such males have an average height
of 59.3 inches with a population deviation of 4.3 inches
round to the nearest hundredth of an inch
In: Statistics and Probability
Using traditional methods it takes 110.0 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 50 students and observed that they had a mean of 111.0 hours. Assume the variance is known to be 16.00. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Step 1 of 5: Enter the hypotheses: Step 3 of 5: Specify if the test is onetailed or twotailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
In: Statistics and Probability
In: Statistics and Probability
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Followup calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 88% ±4%. What does this mean? Are the conclusions below correct? Explain.
a) Between 84% and 92% of all orders arrive on time. 

b) 
90% of all random samples of customers will show that 88% of orders arrive on time. 
c) 
90% of all random samples of customers will show that 84% to 92%of orders arrive on time. 
d) 
The company is 90% sure that between 84% and 92% of the orders placed by the customers in this sample arrived on time. 
e) 
On 90% of the days, between 84% and 92% of the orders will arrive on time. 
In: Statistics and Probability
In this exercise, we will look at descriptive statistics and how to explore and summarize data sets. For this, we use the Heart Disease dataset from the UCI data repository. This dataset consists of 4 small datasets of people with heart disease admitted to 4 hospitals.
For now, we only work with the file. this data consists of 271 instances with 7 attributes. The attributes are described as below:
Age: age in years
sex: 1 = male; 0 = female
cp: chest pain type
Value 1: typical angina
Value 2: atypical angina
Value 3: nonanginal pain
Value 4: asymptomatic
Trestbps: resting blood pressure
Chol: cholesterol level
Thalach: maximum heart rate achieved
heart_problem: 1= have heart problem; 0=No heart problem
Instruction: Use Microsoft Excel to do your work. Please submit your work as ONE MS excel file and create one tab for each question. Show your work as rigorously as possible. name the file as lastname_fastname_hw1.excel.
Using the attached data, answer the following questions:
1. How many patients have heart disease? (0.5)
2. What is the average Cholesterol level of people with heart disease and without heart disease? What is the standard deviation? (1)
3. What is the median and average age of people with,
a. cholesterol higher than 240.0? (0.5)
b. cholesterol higher than 240.0 with heart disease? (0.5)
c. cholesterol higher than 240.0 without heart disease? (0.5)
4. Create a histogram of resting blood pressure. (1)
5. Create boxplots based on the sex of the patients for the following attributes:
a. cholesterol level (1.5)
b. maximum heart rate achieved (1.5)
6. For each Box plot, answer the following questions:
a. What is the HSpread (Q3Q1) of cholesterol level for male and females? (0.5)
b. What are the Lower Hinge and Upper Hinge values for maximum heart rate for male and female? (0.5)
7. In order to find if two attributes are related and their values change together, we can use Scatter plot. Follow the instruction below and answer the questions:
a. Create two scatter plots of age and resting blood pressure for people with heart disease and without heart disease. Is there any visual correlation? (1+1)
b. Calculate the average resting blood pressure of each age (HINT : Use Groupby for age) for people with heart disease. (1)
c. Calculate the average resting blood pressure of each age (HINT : Use Groupby for age) for people without heart disease. (1)
d. Now create two scatter plots using the previous results. Do you observe a correlation now? Do people without heart disease have higher blood pressure as they age than people with heart disease? (2)
8.Compare the resting blood pressure of people with heart disease and without. (1)
LINK TO Data set
https://docs.google.com/document/d/1KYER8cMeWPcOlMJpegWNIDAF4maIAthKTM3Hrpr8rxk/edit?usp=sharing
In: Statistics and Probability
A student wonders if people of similar heights tend to date each other. She measures herself, her roommate and the women in the adjoining rooms; then she measures the next man each woman dates. Here are the data (in inches):
Women  66  64  66  65  70  65  60  70  72  63 
Men  72  68  70  68  71  65  64  66  70  69 
A. What is the least squares regression line of the male height
on female height? Graph it on a scatterplot. Make sure all parts
are appropriately labeled.
B. Use your results from a. to predict the height of Jill’s next
date if she is 68 inches tall.
C. What is the correlation of the data? What does the correlation
describe?
D. Are there any influential outliers in the data set?
In: Statistics and Probability
Suppose a computer chip manufacturer rejects 1% of the chips produced because they fail presale testing. Assume the bad chips are independent. Complete parts a through d below
a) Find the probability that the third chip they test is the first bad one they find. The probability is __________
b) FInd the probability they find a bad one within the first 11 they examine _________
c) Find the probability that the first bad chip they find will be the fourth one they test _____________
d) Find the probability that the fifth chip they test is the first bad one they find _______________
An Olympic archer misses the bull'seye 14% of the time. Assume each shot is independent of the others. If she shoots 8
arrows, what is the probability of each of the results described in parts a through f below?
a) Her first miss comes on the sixth arrow.
The probability is _____________
(Round to four decimal places as needed.)
A manager at a company that manufactures cell phones has noticed that the number of faulty cell phones in a production run of cell phones is usually small and that the quality of one day's run seems to have no bearing on the next day.
a) What model might you use to model the number of faulty cell phones produced in one day?
Geometric, Poisson, Binomial, Uniform ?
b) If the mean number of faulty cell phones is 1.9
per day, what is the probability that no faulty cell phones will be produced tomorrow?
c) If the mean number of faulty cell phones is 1.9
per day, what is the probability that 3 or more faulty cell phones were produced in today's run?
In: Statistics and Probability
A salesman normally makes a sale (closes) on 75% of his presentations. Assuming the presentations are independent, find the probability of each of the following.
a) He fails to close for the first time on his fifth attempt.
b) He closes his first presentation on his fourth attempt.
c) The first presentation he closes will be on his second attempt.
d) The first presentation he closes will be on one of his first three attempts.
A manufacturer of game controllers is concerned that its controller may be difficult for lefthanded users. They set out to find lefties to test. About 13% of the population is lefthanded. If they select a sample of 6 customers at random in their stores, what is the probability of each of the outcomes described in parts a through f below?
a) The first lefty is the fourth person chosen.
The probability is _____________
(Round to four decimal places as needed.)
The probability model below describes the number of repair calls that an appliance repair shop may receive during an hour. Complete parts a and b below.
Repair Calls 1 2 3 4
Probability .1 .4 .3 .2
b) What is the standard deviation?
The standard deviation is ____________
(Round to two decimal places as needed.)
In: Statistics and Probability
201 
240 
217 
283 
268 
212 
251 
263 
275 
208 
230 
288 
259 
225 
218 
236 
243 
247 
280 
234 
250 
236 
277 
255 
228 
268 
231 
269 
224 
259 
258 
231 
255 
202 
219 
245 
246 
271 
249 
255 
265 
235 
243 
245 
252 
246 
238 
257 
254 
284 
In: Statistics and Probability