In a related-samples t test, the null hypothesis posits that the mean of the sampling distribution is:
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- Suppose that a random sample of 11 scores from a population of test scores is to be used to estimate the population mean and standard deviation. If a 95% confidence interval for the mean is constructed , it contains values that are within _____ standard deviations of its mean.A manufacturer claims that only 2% of their products are defective. A store receives a delivery of 300 items from the manufacturer. Let p-hat = the proportion of defective items in a sample of 300 items. Assuming the manufacturer is correct that only 2% of their products are defective, what are the mean and standard deviation of the sampling distribution of p-hat ? Options: The mean is 0.02 and the standard deviation is 0.008. The mean is 6 and the standard deviation is 2.42. The mean is 6 and the standard deviation is 5.88. The mean is 0.02 and the standard deviation is 0.196.One of the reasons Chi-square is one of the most popular types of significance tests used by researchers is because: a. other tests can’t be done using interval-ratio variables b. it is easy to meet test requirements c.the sampling distribution, as assumed by the Central Limit Theorem, is normal in shape d.all of the above
- Is Friday the 13th Unlucky? The table shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th.(Be sure to subtract in the same direction). Friday 6th Friday 13th Difference 4 2 6 10 5 6 9 13 3 2 11 15 12 12 What are the correct hypotheses? (Select the correct symbols and values.)H0: Select an answer μ₁ μ(d) x̄₂ σ₁² x̄₁ s₁² p μ ? = < ≤ ≠ > ≥ Select an answer 0 μ₁ μ₂ x̄₁ p σ₁² s₁² x̄₂ μ H1: Select an answer x̄₂ μ₁ μ p μ₂ x̄₁ s₂² μ(d) σ₂² ? < ≥ ≠ = ≤ > Select an answer μ x̄₂ s₁² x̄₁ p 0 μ₂ σ₁² μ₁ Original Claim = Select an answer H₀ H₁ df = Based on the hypotheses, find the following: Test Statistic = (Round to three decimal places.)Critical value(s) = ±± (Round to three decimal places.)p-value = (Round…Violation of which assumption below for the two-factor ANVOA is not a cause for concern with large sample sizes? a. The populations from which the samples are selected must have equal variances. b. The populations from which the samples are selected must be normal. c. A violation of any assumption below would be a concern, even with large sample sizes. d. The observations within each sample must be independent.Suppose that a certain chromosone defect occurs in 12% of all sheep. A random sample of 200 sheep is to be obtained and analysed for the chromosone defect. What is the mean of the sampling distribution of the sample proportion?
- A local McDonald's manager will return a shipment of hamburger buns if more than 10% of the buns are crushed. A random sample of 81 buns finds 13 crushed buns. A 5% significance test is conducted to determine if the shipment should be accepted. The p value for this situation is:A statistics teacher claims that, on the average, 5% of her students get a grade of A, 15% get a B, 35% get a C, 30% get a D, and 15% get an F. The grades of a random sample of 120 students were recorded. The following table presents the results. Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.025 level of significance and the p-value method with the TI-84 Plus calculator. Grade A, 9 observed, grade B, 4 observed, grade C, 48 observed, grade D, 37 observed, grade F, 22 observed. What is the p-value?1. We want to investigate whether traffic accidents are more likely on certain days of the week on certain road sections. Which of the following tests best fits the situation?Choose one:a. Two-way analysis of variance OR b. Compatibility test OR c. Paired t-test 2. In which of the following can it be assumed that the sample comes from a normal distribution?Choose one:a. In the Runs test (random test)b. In the compatibility testc. In a two-way analysis of variance
- At a large university, 68% of the students have a laptop, while only 43% of professors have one. Let and be the sample proportions of students and professors, respectively, who have a laptop. Suppose 56 students and 31 professors from this university are selected at random and asked if they have a laptop. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ? The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.012 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.035 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.109 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who…In a study using 14 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is A.) a standard normal distribution. B.) at distribution with 13 degrees of freedom. C.) at distribution with 14 degrees of freedom. D.) at distribution with 15 degrees of freedom. 1.Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.
