Two teaching methods and their effects on science test scores are being reviewed. A random sample of 9 students, taught in traditional lab sessions, had a mean test score of 83.1 with a standard deviation of 5.1. A random sample of 7 students, taught using interactive simulation software, had a mean test score of 87.6 with a standard deviation of 6.4. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software. Use a significance level of α = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places EB TablesKeypad Answer How to enter your answer Previous Step Answers

Q: A store sells bags of candy that weigh exactly 2lb, according to their packaging. Elena, the store m...

A: It is given that the store sells bags of weight, exactly 2lb. The claim is that the population mean ...

Q: The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30...

A: Introduction:The test hypotheses are:Null hypothesis:H0: p = 0.30, that is, 30% in the sample of 1,1...

Q: The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate co...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

Q: For frecuency distribution for us governor 2019.  Party.                     Frequency Democratic.  ...

A: For any event A, the probability of A can be found as follows:

Q: Members of the school committee for a large city claim that the population mean class size of a midd...

A: According to the question,H0: μ=20 versus Ha: μ<20We have n = 35Level of significance = 0.05t = -...

Q: Suppose 230 subjects are treated with a drug that is used to treat pain and 54 of them developed nau...

A: Given hypothesis testNull Hypothesis : p = 0.20Alternative Hypothesis : p > 0.20The sample size n...

Q: entle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the...

A:  (a) Level of significance:Level of significance (α) indicates the probability of rejecting null hyp...

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: Introduction:It is given that Xi’s (i = 1, 2, …, N) are independent Gamma (αi, β) random variables w...

Q: Hospitals typically require backup generators to provide electricity in the event of a power outage ...

A: Independent events:If A and B are two independent events, the probability of the event A and B can b...

Q: Could you help me with these questions in regaurds to the table provided? (2) Calculate covariance b...

A:

Q: A conservation biologist is working on increasing population sizes of the silver-leaf lupine (Lupinu...

A: Solution:a) Effects of ANOVA:It is given that three different treatments assigned to different seeds...

Q: Rolling Two Dice  If two dice are rolled one time, find the probability of getting these results A. ...

A: Hello there! There are more than 3 sub-parts in the question shared. According to our policies canno...

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Relationship between slopes of two perpendicular straight lines:The slopes of two lines, which are p...

Q: Statistics Question

A: Solution:It is given that “Budget” as x variable and significance level of α=0.05.The regression equ...

Q: A national newspaper reported that the state with the longest mean life span is Hawaii, where the po...

A: Part (A):Sample mean:Denote the life span (years) of a randomly selected individual by X.In order to...

Q: A physician wants to test if temperature has an effect on heart rate. In order to do this, she compa...

A: In this question, it has been given,Test Statistics = 5.627Level of significance = 0.05Rejection Reg...

Q: given that the sample mean=105, pop standard deviation=27, n=44, a=0.01 what is the critical s-score

A: Note: In this question it has mentioned that we have to find the s – score but it seems that it is a...

Q: List and describe two of the common types of explanations for statistical relationships (other than ...

A: Common types of explanations for statistical relationships:The common types of explanations for stat...

Q: Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance com...

A:  (a) Level of significance:It is given that to test whether the percentage of wheat crop lost to hai...

Q: Hi. How do you calculate this Poisson Distribution in the TI-83? Thanks.

A: Let ‘Y’ be the waiting time between two busses which follows exponential distribution with mean wait...

Q: Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profi...

A: (a)Using the provided data, the sample mean can be calculated using Excel function “AVERAGE()”.Enter...

Q: Exam grades: scores on a statistics final in a large class were normally distributed with a mean of ...

A: Let X be the scores on statistics final, which is normally distributed with mean = 75 and standard d...

Q: How to determine Estimate the P-value.

A: Introduction:P-value: The P-value is the probability of obtaining a test statistic value as extreme ...

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support...

A: As there is no any estimates available, the sample proportion is assumed to be 0.50, that is, 50%.He...

Q: It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a ...

A: Confidence interval:The (1-α) % confidence interval for proportion p is given by,

Q: Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for ...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: A researcher wants to test to see if husbands are significantly older than their wives. To do this, ...

A: The aim is to find the accurate statement from the following options to evaluate the population mean...

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of P...

A: According to the given question, A and B be two events with probability P(A)=0.71  and P(B)=0.44 the...

Q: Suppose x has a normal distribution with mean μ = 28 and standard deviation σ = 7.Describe the distr...

A: Note:Hi there! Thank you for posting the question. Your question asks about the “distribution of x v...

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: (a)The scatter diagram for the provided data can be plotted using Excel.The steps are given below:En...

Q: Use the normal approximation to the binominal to approximate the probabilities. A gardener buys a pa...

A: Normal approximation to the binomial:If a random variable X ~ B(n, p) in which n is large and p is c...

Q: Write the equation of the line that passes through the points (0, 1) and (− 1, 3). Explain your solu...

A: The equation of the line is given by, y = mx+c, where m is the slope and c is the intercept.

Q: A simple random sample of 60 items from a population with o 9 resulted in a sample mean of 36. If re...

A: Confidence interval:The (1-α) % confidence interval for population mean µ is given by:

Q: A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this cla...

A: Test statistic calculation:In this context, a researcher claimed that the proportion of incidence of...

Q: There are six multiple-choice questions on an exam, each with three possible answers. (a) Determine ...

A: According to the given question, there are six multiple-choice questions on an exam, each with three...

Q: Consider the following multiple regression model :          y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x...

A: The given multiple regression model is as follows:

Q: Using the data below, determine whether the proportion for each group is equal using a 5% significan...

A: According to the given question, to test whether the proportion for each group is equal using a 5% l...

Q: How do you determine the mean annual return?

A: The mean of any given data is nothing but the average of the data.Let X1, X2 , X ,....., Xn are n da...

Q: 1. A committee of eight people must choose a president, a vice president and a secretary. In how man...

A: Number of ways three positions can be chosen:When there are n items, the number of ways x items can ...

Q: Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to...

A: Correct Option D) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2>0.Ex...

Q: How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in te...

A: (a)Using the provided data, the sample mean and standard deviation can be calculated using Excel fun...

Q: a. Which of the six correlations above are statistically significant (i) if you test each correlatio...

A: We have been given alpha  = 0.05 which implies that the probability of inferring that there is a cor...

Q: Var Adn Cater Graded Assignment 3 ue: 08/01 Plesse, show your work ond write your answers in full se...

A: Preliminary calculations:The probability distribution is constructed as follows.

Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table given ...

A: Using the provided formula, the sample standard deviation of the provided frequency distribution is ...

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: It is provided that and the moment generating function (MGF) is,

Q: Midterm exam scores are normally distributed with a mean of 75 and a standard deviation of 6. If the...

A: According to the question , Midterm exam scores are normally distributed with a mean of 75 and a sta...

Q: 10) Two cards are drawn from a standard deck of 52 cards and the first is not replaced before the se...

A: In this question, we have to draw two cards from a deck of 52 cards without replacement. Then we hav...

Q: 10 9 8 6 Frequency 5 4 3 2 1 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 50 to 59 The table above lis...

A: Frequency table:Frequency table represents the number of times each class repeats.The frequency of e...

Q: A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters...

A: (a)Poisson distribution is most suitable, when the events are “rare” and occur independently of each...

Q: Natasha is a physician looking to determine whether a supplement is effective in helping men lose we...

A: Test statistic results:For testing whether a supplement is effective in helping men lose weight or n...