When is it appropriate to use a z-test, a t-test, and nonparametric tests for one sample or two samples?

Q: Here are two different samples drawn from two different populations: Sample A (n=13) Sample B (n=12)…

A: Given Information: Two different samples are drawn from two different populations. Sample size of…

Q: Why does z-test is being used when the sample size is large(> 30) and t-test when the sample size is…

A:

Q: It is desired to compare the grade point averages of the students studying industrial engineering…

A: Solution Answer.  Kruskal-Wallis Analysis of Variance Because the kruskal wallis analysis is used to…

Q: To decide whether the variation among sample mean ranks is large enough to warrant rejection of the…

A:

Q: Kevin, a Human Resources professional, would like to make the claim that the average hourly wage for…

A: μ=$9.69 per hour α=0.01

Q: Two dependent samples with , = 1.6, s, =.8, n, =n, = 20 Test if populations u, > 4, at a = 0.05…

A: Given data : sample size, n = 20 sample mean, x̄ = 1.6 sample standard…

Q: 1. The dependent variable in this scenario is quantitative. (enter T for true or F for false). 2.…

A: We have to determine the dependent and independent variable for given situation.

Q: is An independent samples t-test is appropriate for measuring differences between a selected sample…

A: One sample t test: One sample independent t test is a parametric test used to check for differences…

Q: when we will be reject the NULL HYPOTHESIS on the basis of

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: What are the assumptions of the independent-samples t test?

A: The significant assumptions for the independent samples t-test would be as follows:

Q: Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the…

A: The mean and standard deviation can be calculated as: Therefore, the sample mean and sample…

Q: Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires…

A:

Q: The independent samples t-test does not require the value of the population __ to be provided - α…

A: The independent sample t-test statistic can be determined using following formula: t =x-usnx =…

Q: a. Are the variables considered as ordinal or interval data? Why? b. Which is the appropriate test…

A: Given information: V = 8 P-value = 0.04371

Q: If we have a sample of size 100 from a population of rope with sample mean breaking strength of 960…

A: The claim is that population mean breaking strength differs from 1000 pounds.

Q: An investigation of water plant growth compares the heights (in inches) of a species of plant…

A: Given:

Q: Dr. House is leading a study to determine whether a new drug could significantly improve memory loss…

A: Dr. House is leading a study to determine whether a new drug could significantly improve memory loss…

Q: Which of the following are the assumptions for a Paired Samples t Test? Choose all assumptions which…

A: Correlated samples t test or matched pairs t test or repeated measures t test: The paired t is used…

Q: Find the critical value for a test for correlation with α = 0.01 for a sample size of 30.

A:

Q: The z-statistic for the difference between the tvlo sample proportions is 5.266 with a P- value of…

A: Given, Z-statistics = 5.266 p-value = 0.00000014 α=0.05

Q: Find the significance level of a one tailed test if the critical value of t is 2.264 and the sample…

A: The hypothesis test, will contain two hypotheses: null hypothesis and alternate hypothesis. The…

Q: Determine the critical value(s) for a one sample hypothesis test for proportions that has a two…

A:

Q: What are some assumptions researchers may have about a related-samples t-test?

A: Correlated samples t-test or matched pairs t-test or repeated measures t-test: The paired t-test or…

Q: Out of an F test, Chi-squared t test, Two sample t test, and an One sample t test, the best test to…

A: We have to answer the question of, out of F test, Chi squared test, Two sample t test and an One…

Q: Suppose that a one-way ANOVA is being performed to compare the means of three populations and that…

A: Given N1=11 N2=14 N3=15

Q: How many samples should be selected when the total population is 31 for goldfeld and quandt test to…

A: Goldfeld Quandt test for heteroskedasticity requires to divide the data set (population or sample)…

Q: What is the difference between t-Test: Two-Sample Assuming Unequal Variances and t-Test:…

A: Assumptions about t -test : i. The random variable x follows normal distribution or the sample is…

Q: FIND THE test statistics value  FOR  TWO TAILED TEST  SAMPLe sixe 26 and level of significance is…

A:

Q: f. If there were a Type I or Type Il error given this sample, what would it be, a the implications…

A: Solution a. Ho : p1-p2 =0 Ha : p1>p2 b. now  p1=x1/n1 = 25/75 = 0.33 p2=x2/n2 = 37/75 = 0.49…

Q: If a hypothesis is true and the difference between the control group and the experimental group is…

A: Based on the concept, If a hypothesis is true and the difference between the control group and the…

Q: if variances are unequal, which would be an alternate non-parametric test for the independent…

A: When the variances are unequal, Mann-Whitney U Test would be an alternate non-parametric test for…

Q: Independent random samples were selected from population 1 and population 2. The following…

A: Use the independent two sample t test

Q: The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η,…

A:

Q: If my p-value = .322 and my significant level is .05, then My Null Hypothesis is rejected and I must…

A: The random variable is X. The given p-value is 0.322. Level of significance is 0.05. We have to…

Q: 16) On what situations should the paired samples t test be used rather than the independent samples…

A: The paired t-test can be defined as a statistical technique, which is used to decide whether the…

Q: When should you use a z-test versus a single sample t-test?

A: We know that- z-test- It is a statistical test used to determine the difference between the two…

Q: What is the relationship between the t-test and the sample size? (

A: Here identifying the relationship between t test and sample size

Q: What is the difference in assumptions between the one-mean t-test and the one-mean z-test?

A: The One Sample t Test determines whether the sample mean is statistically different from a known or…

Q: Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare…

A: a)Requirements for a paired t-test:The samples must be paired sample and drawn randomly from…

Q: Seven acute schizophrenics and 10 chronic schizophrenics have been measured on a clarity of thinking…

A: Given:

Q: A researcher calculated sample proportions from two independent random samples. Assuming all…

A: Let p^1 be the sample proportion of 1st population and n1 be the sample size. p^2 be the sample…

Q: A professor wanted to determine if the GPAS of students at Saddleback College are less consistent…

A: The claim is that the standard deviation of grades for saddleback college student is less than the…

Q: PO,n Suppose that we want to test Ho : B1 = 0 against H1 : ß1 # 0 at 1% significance level. Assuming…

A: Solution:

Q: A hypothesis test for the mean of a population was performed and a p-value was obtained p = 0.044.…

A:

Q: Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires…

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

Q: Are the two samples independent? State the null and alternative hypothesis. What is the p-value in…

A: n1 = 10n2 = 10 degree of freedom = n1 + n2 -2 = 18 t = 0.63

Q: s of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observations (to 2 decimals).…

A: 10, 20, 12, 17, and 1610, 20, 12, 17, and 16

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.