If we want to use the t-distribution to make an inference from our normally-distributed sample of size 15, how many degrees of freedom would we use?
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If we want to use the t-distribution to make an inference from our
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- Group A is a sample of 25 people and has a Sum of Squares of 800 Group B is a sample of 20 people and has a Sum of Squares of 1600 Use the information from both samples to estimate the variance of the null hypothesis distribution?If the sample data produce a test statistic (z-score) that is in the critical region, then which of the following is the appropriate conclusion for the test? O reject H₁ O fail to reject H₁ O fail to reject Ho O reject HoLet a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
- Researchers notice that access to food may be related to later success in secondary education. Researchers formulate a hypothesis that says: teenagers are more likely to graduate high school in cities with more food banks per capita compared to cities that have fewer food banks per capita. They run a pilot study with n = 4 neighborhood blocks, sampled randomly across cities in the U.S. Here, x = number of food banks in the target city and y = number of high school graduates in a 4x4 block radius. The data are presented in the table below. What is the correlation between access to food banks (x) and high school graduation (y)? a) Calculate the sum of products b) Calculate Pearson’s rAn adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 260 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 77.6 minutes and a standard deviation of 8.2 minutes. The 260 individuals complete Coolsprint with a mean time of 76.0 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…A researcher is interested in determining whether background music has had an effect on participants' word recall. An experiment was conducted during which one group was given a list of words to study and then asked to recall the words while light jazz was playing in the background the entire time. The second group did the same thing in a completely silent environment. Below are percentages of correctly recalled words for each group.Conduct a two-samples t-test (equal variances assumed) to determiine if there was a significant difference between average percentages of recalled words in both groups.Assume alpha =0.05.In your answer, state the null and the research hypotheses and explain whether the results of the two-sample test led you to reject or fail to reject the null hypothesis, and what it means.Copy the data below into Google Sheets and perform t-test: two-sample (assuming equal variances). Copy/paste the results into the question response window. In your answer, state the…
- One of the two fire stations in a certain town responds to calls in the northern half of the town, and the other fire station responds to calls in the southern half of the town. The following is a list of response times (in minutes) for both of the fire stations (this data will be used for several problems). Both samples may be regarded as simple random samples from approximately normal populations so that the t- procedures are safe to use. Northern: 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 12 Sum = 192 Sum of Squared Deviations = 197.2 Southern: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 12, 12, 12, 12, 13 Sum = 225 Sum of Squared Deviations = 231.5 Find and interpret a 95% confidence interval for the mean response time of the fire station that responds to calls in the northern part of town. Fill in blank 1 to report the bounds of the 95% Cl. Enter your answers as lower bound,upper bound with no…Suppose you analyzed the average monthly credit card bill of Visa credit card customers using two randomly selected samples: one with 144 Visa credit card customers (Sample #1) and one with 100 Visa credit card customers (Sample #2). Every credit card customer in Sample #1 had a monthly credit card bill of $1,812. Sample #2, on the other hand, had an average monthly credit card bill of $1,868 with a variance of 1,302,388 (SM2. If you combined these samples into one... Question 2 What would be the combined monthly credit card bill average (in dollars)? Question 3A What is the combined monthly credit card bill median (in dollars)? Question 3BWha is the shape of the combined monthly credit card bill distribution (in dollars)? Question 4 What would be the combined monthly credit card bill standard deviation (in dollars)?what is the p value? is the p-value low? can we conclude?
- An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 230 Fundash runners and 210 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 230 Fundash runners complete the course with a mean time of 77.9 minutes and a standard deviation of 6.6 minutes. The 210 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.3 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, U1, of Fundash is greater than…The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 2: Co-op Group 3: Work Study Group 1: Internship 10 10.5 11.25 11 9.25 10.25 9.75 13.25 10.5 12.5 10.5 10.75 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using a = 0.01. Group means (report to 2 decimal places): Group 1: Internship: Group 2: Co-op: Group 3: Work Study: ANOVA summary statistics: F-ratio = (report accurate to 3 decimal places) 12.25 10.5 10.75 11.5 10 10.5 р (report accurate to 4 decimal places) Conclusion: © The sample data suggest the average starting hourly wages are not the same. O There is not sufficient data to conclude the starting wages are different for the different groups.
