A box contains 3 plain pencils and 1 pen. A second box contains 9 color pencils and 3 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected? Write your answer as a fraction in simplest form

Q: If n=30, ¯xx¯(x-bar)=49, and s=4, find the margin of error at a 99% confidence level Give your…

A: Given,n=30x¯=49s=4degrees of freedom(df)=n-1df=30-1=29α=1-0.99=0.01α2=0.005t0.005(29)=2.756…

Q: Use a t-test to test the claim about the population mean u at the given level of significance a…

A: Solution: Given information: n=20 Sample size x=51527 Sample mean s=2800 Sample standard deviation

Q: Suppose 16% of students entering uni drop out before receiving their degree. If a random sample of…

A:

Q: Football Air Pressure During the NFL's 2014 AFC championship game officials measured the air…

A:

Q: If you reject the null hypothesis ar the 5% significance level would you reject the null hypothesis…

A: If null hypothesis is rejected at 5% level of significance it means the p-value is less than 0.05…

Q: Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, then what is the…

A:

Q: Given P (X) = 0.4, P (Y) = 0.4 and P (X/Y) = 0.25. Find the probability that the event Y does not…

A: Given that, P(X)= 0.4 ,  P(Y)= 0.4 and  P(X/Y')= 0.25

Q: a) Given the bonus b, the salesperson's best response function is b) Suppose the dealership pays b =…

A: From given  data we have : Her effort = e probability she sell 4 cars = 4e probability she sell 1…

Q: A district sales manager wishes to determine whether there is a difference in mean daily sales…

A: Given that    Store 1 Store 2 Sample size (n) 37 37 Sample mean daily sales volume (in…

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A: From the provided information, Mean (µ) = 0 Standard deviation (σ) = 1

Q: A poll was conducted to investigate opinions about global warming. The respondents who answered yes…

A: Given  Test statistic=0.474, level of significance ɑ=0.01

Q: You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories…

A: The claimed proportions for 4 categories are given as pA = 0.1; pB = 0.25; pC = 0.25; pD = 0.4.

Q: The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is…

A: Given that Population proportion=0.15 Sample size (n)=381 Number of them repeat offender (X)=46…

Q: (a) A serious drought related problem for farmers is the spread of aflatoxin, a highly toxic…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The owner of a chain of mini-markets wants to compare the sales performance of two of her stores,…

A: (a) Hypotheses: H0:μd=0H1:μd≠0

Q: Let's continue with the previous scenario: 0.03 0.97 Y N Y Dc 0.98 N D 0.99 0.01 0.02 i) The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Down a certain stretch of highway, the probability that a car will be speeding is 0.27. If the next…

A: It is given that n=14 and the probability of a car will be speeding is 0.27.

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: The mean is 0 and the standard deviation is 1.

Q: There are 6 green apples and 7 red apples in a basket.   (a) What is the ratio of red apples to…

A: Given that  6 Green Apples  7 Red Apples  We have to find  (a) What is the ratio of red apples to…

Q: Give a 95% confidence interval for μ based on this sample. Based on your confidence interval in part…

A: here , An SRS of 900 high school seniors gained an average of ¯x=14 points in their CAT exam. Assume…

Q: Marks Students Calculate the average marks of the students. 30-35 25-30 2,500 4,500 35-40 1,400…

A:

Q: a) State the Hypotheses (in words is fine) Ho: H1: b) Find the test statistic and p-value. Round to…

A: The given table shows the students degrees and their higher education plans.

Q: Q6. The following set of data were gathered from six laptops, displaying hours on charger per day…

A: Given that  Hours on charger (x) hours of battery life (y) 8 1 6 2 5 2 4 2 3 4 2 6

Q: Martha's Vineyard Marine Supply is a wholesaler for a large variety of boating and fishing…

A: First we enter the given data set in excel sheet.  Material handling department costs depend on the…

Q: Q9. The value of the 'coefficient of determination' (2²) ranges from a) 0 to 1 b) -1 to 0 c) -1 to…

A: Given that  The value of the "coefficient of determination" (r2) ranges from Coefficient of…

Q: The following table shows the systolic blood pressure of 5 women and 5 men.   Women 110 120 95…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Q: investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a…

A:

Q: A variety bag suggests that it contains 30% Snickers, 20% 3 Musketeers, 20% Milky Way, and the…

A: (a)

Q: Use the given confidence interval limits to find the point estimate p^ and the margin of error ME.…

A: The following information has been given: The confidence interval limits are 0.57<p<0.63

Q: Calculate the 5 numbers summary of the given data using approximation method.…

A:

Q: a. Write the estimated regression equation (to whole number). ý= = + b. Compute the F statistic and…

A: first we complete ANOVA: df (Regression) =k =1df (Residual) = n-k-1 =30-1-1=28df (Residual ) = n-1…

Q: Experience the Tour de France (ETF) is a specialty travel agent. It arranges vacations for amateur…

A: Given : Experience the ETF is a special travel agent There are 5 peoples who take the calls from…

Q: A researcher studied the relationship between the number of times a certain species of cricket will…

A: Regression line are used to predict the future value. It has two variables, they are independent and…

Q: Which of the following statement is INCORRECT about the reason for running a two-samples t-test…

A: Answer is in step 2

Q: SCENARIO 3 A survey claims that the average cost of a hotel room in Atlanta is $69.23.   To test…

A: A sample of 30 hotel rooms, average cost is $68.43 n=30 x=68.43 The population SD(standard…

Q: (b) The blood pressure reading for people aged 80 years old that are having high blood pressure is…

A:

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the desired…

A:

Q: Several local universities hire a polling company to study how wide spread cheating is in online…

A: The objective is to match the type of bias this challenge would make us worry about the most.

Q: A therapist was interested in determining whether patients experiences reduced anxiety following…

A: Sample size N = 9 We have to use repeated samples t-test.

Q: here are 5 new books and 9 used books on a shelf.   (a) What is the ratio of new books to all…

A: Ratio is a type of continuous scale measure. It has two parts, they are numerator and denominator.…

Q: Q3. Which measure shows the distance between the highest and the lowest value of a dataset? a) Range…

A: Given that  The measure shows the distance between the highest and the lowest value of the data set

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: The data is x y 3 16.4 4 14.66 5 13.32 6 10.98 7 6.04 8 7

Q: A sample of size 16 was taken from a very large population. Sample statistics, x¯ and s, were used…

A:

Q: In a company made up of 30,000 employees, 6,900 (23%) are enrolled in an optional savings program.…

A: Given that in a company made up of 30,000 employees, 6,900 (23%) are enrolled in an optional savings…

Q: To investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a…

A: From the provided information, Sample size (n) = 20 Level of significance (α) = 0.01

Q: (c) Identify the standardized test statistic. Use technology. =(Round to two decimal places as…

A:

Q: Question 2 (a) The probability that Henry will like a new movie is 0.70 and the probability that…

A:

Q: 45 <-00 45 88 45 50 50 55 55 59 58 60 60 63 65 65 Data Set A 70 Data Set B 70 Step 2 of 2: Which…

A: Interquartile range is the measure of variation.   IQR = Q3-Q1  Where Q3 is third quartile and Q1 is…

Q: Suppose that a researcher selects a sample of participants from a population. If the shape of the…

A: For the given statement Select the correct choice ?

Q: The calories and sugar content per serving size of ten brands of breakfast cereal are fitted with a…

A: Given: Intercept a = 78.3275 Slope b = 2.74239 Formula Used: The equation of regression line is: Y =…