A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. Final examination scores from a random sample of students enrolled today and from a random sample of students enrolled five years ago were selected. You are given the following information. Today Five Years Ago x̄      86 88 σ 2 123.5 56 n      46 39  The standard error of x̄ 1 - x̄ 2 is _____.

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0…

A: standard normal curve.X~N(0,1)μ=0σ=1we have to find out the shaded region for the given graph  data.

Q: The point estimate of y when x = 2 is

A: Given the data values  of x and y X Y 1 5 2 4 3 3 4 2 5 1   To find the estimated…

Q: An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising…

A: a) It is needed to test, whether there is a significant relationship between the cost of the…

Q: only HANDWRITTEN answer needed ( NOT TYPED)

A: The standard error explains how much the sample represents the population. It is more then it shows…

Q: In a lab experiment, 4600 bacteria are placed in a petri dish. The conditions are such that the…

A: The population growth model is given as: Pt=P0ert. Here, Pt is the population at time t. P0 is the…

Q: Which bird is faster: Flamingos or peacocks? A study was done to estimate the true mean difference…

A: We have to find the confidence interval for difference in the mean running speed for all flamingos…

Q: 7. A class consists of 15 students: 4 from Nevada, 5 from Michigan and 6 from Georgia. The professor…

A: The number of group consists of at most 1 student from Nevada is obtained below as follows :   From…

Q: The following data, drawn from a normal population, are the waiting times (in minutes) of 12…

A: Answer  Given  X               X^2 1.8           3.24 2.4           5.76 2.7           7.29 2.1…

Q: Bivariate data for the quantitative variables x and y are given in the table below. These data are…

A: The scatter plot for x and y are given.

Q: The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and…

A: The following data are body mass index (BMI) scores measured in 12 patients who are free of diabetes…

Q: In a small pond there are 50 fish, 10 of which have been tagged. If 5 fishes were caught, what is…

A: 10 tagged fish 40 non tagged fish ___________ 50 total fish     select 5 at random P(2 are tagged…

Q: In case the organization controls n = 2000 voters, which is the (approximated) probability that…

A:

Q: 3. Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4…

A: Hypothesized population mean μ0=140 Sample size n=4 Sample data is as follows: 150, 150, 180, 170…

Q: A survey asked 1578 US residents: "Do you think the use of marijuana should be made legal, or not?".…

A: A survey of 1578 residents asked "Do you think the use of marijuana should be made legal, or not?"…

Q: 4. A company has recorded data on the daily demand for its product (y in thousands of units) and the…

A: Given sample size n = 15

Q: What is the spread (standard deviation) of the sampling distribution of Xc - Xr? Round your answer…

A:

Q: A magazine provided results from a poll of 1500 adults who were asked to identify their favorite…

A: The value of the sample proportion of p is obtained below as follows:   From the information, given…

Q: Could you answer letter D?

A: Se=0.057847, df=n-2=23

Q: 2. An electronics company makes customized laptop computers for its customers by assembling various…

A: The number of display screens is 150.

Q: For a uniform random variable X-U (8, 28), find the probability P (X> 22 ): P(X> 22 ) = ?

A: A random variable X~U(8, 28) f(x)=128-8 f(x)=120       ;  8≤X≤28

Q: What is the nature of the relationship between population size and murder rate? Use the below chart…

A: We are given the dataset with population of country as independent variable and the murder rate per…

Q: 8. A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples is drawn withou…

A: Here given that ,  There are total no of apples = 8 +6 = 14. No of red apples = 8 No of yellow…

Q: f. Compute the estimated standard deviation of b₁. g. Use the t test to test the following…

A: Given sample size n = 15 From part a and c, slope = -0.6277, SSxx = 94 and SSE = 62.9681

Q: s that temperature sampling has a standard deviation of 7 degrees F. a. What is the confidence…

A: Given, Sample size (n) = 65  sample mean (x̄)  = 75 sample standard deviation (s) = 7 confidence…

Q: 14.Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph…

A: normal distribution

Q: 76% of all students at a college still need to take another math class. If 4 students are randomly…

A: Let 76% of all students at a college still need to take another math class. i.e. p=0.76 and 4…

Q: Suppose that in a small village about 90% of the residents are of Hawaiian ancestry. Let n=1, 2, 3,……

A: let n be the number of people you must meet until you encounter the first person of Hawaiian…

Q: Use the given table, which lists six possible assignments of probabilities for tossing a coin twice,…

A: Condition for valid probability model: Total probability equal to 1. Each probability is greater…

Q: Suppose a new point was added to your data: a wine that is 20% alcohol that contains 0 calories. How…

A: Given new point was added to the data. We have to check if there will be any change in the values of…

Q: 2/7, The cumulative distribution function of the discrete random variable X is F(x) = - 6/7 1 (A) 1…

A:

Q: On shows like American Idol, contestants often wonder if there is an advantage to performing last.…

A: x = 59  n = 600 po = 1/12

Q: 8. Suppose that textbook weights are normally distributed. You measure 51 textbooks' weights, and…

A: normal distributionsample size  = 51smaple mean = 41 ouncespopulation standard deviation = 11.9…

Q: wo brands of cigarettes are selected, and their nicotine content is compared. The data are shown…

A: The question is about hypo. testing Given : Sample mean of nicotine content in Brand A ( x¯1 ) =…

Q: Question 1 The following data is from a survey of 1722 first-year female students and 1329…

A: If two variable is compared with multiple levels then the chi-square test for homogeneity is used.…

Q: i) Show that (Hint: Use the CLT for Xn Xį ~ Poi(1)). n Σ k=0 1 Xi, where X₁ are i.i.d. random…

A: We have to prove the following statement: limn→∞e-n∑k=0nnk/k!=0.5

Q: Consider the scenario ai from the previous question. Suppose you take an SRS of 50 avocados and find…

A: sample size(n)=50 sample mean=1.1 P-value=0.0542 and α=0.05

Q: 8. Suppose 4 cards are drawn without replacement from a standard deck of 52 cards. Find the…

A: If an experiment occurs and the number of ways an event occurred is observed using the principle…

Q: A researcher reports that the average of assistant professor is less than 42,000. A sample of 35…

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

Q: Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously.…

A: we have given that  Amount of money (A) = $1830 Principal amount (P) = $770 rate of interest (r) =…

Q: 7 coins are dropped to the ploor, if at least 3 of them are heads wat is the probability all 7 are…

A: 7 coins are dropped to the floor.

Q: The following data set shows project grades for an elementary statistics class. 20 21 b.) median 25…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: Compute the MAE for the data below: Time series Forecast 16 19.6 20 19 18 19.14 22 19 O 2.185 O…

A: The data is given as follows: Time Series Forecast 16 19.6 20 19 18 19.14 22 19

Q: 85 94 101 106 111 86 87 87 90 90 92 93 94 94 94 96 96 96 97 97 98 100 100 101 102 103 103 103 104…

A: The question is about frequency distribution Given data : First class lim. : 85 - 89   To find :…

Q: High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using…

A: x1= 56.0 n1= 2051 x2= 84.0 n2= 2030 significance level, 0.01 sample…

Q: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:…

A: p is the population proportion. The hypotheses are as follows: Null hypothesis H0:p=0.65…

Q: Hudson Marine provides boats sales, service, and maintenance. Boat trailers are one of its top sales…

A: The data for quarterly sales for the seven years is given.

Q: If the coefficient of correlation is -0.60, then the coefficient of determination is: a. -0.60 b.…

A: Answer:- Given, The coefficient of correlation is -0.60 . Using formula,  The coefficient of…

Q: How many different committees can be formed from 8 teachers and 41 students if the committee…

A: It is needed to find the ways of forming different committees from 8 teachers and 41 students if the…

Q: Suppose Z follows the standard normal distribution. Calculate the following probabilities using the…

A: z has standard normal distribution. where mean=0 and standard deviation=1 i.e. z~N0,1

Q: An education researcher claims that 57% of college students work year-round. In a random sample of…

A: The question is about hypo. testing Given : Popl. prop. of college stud. work year round ( p ) =…