What is a paired sample t-test used for?

Q: Suppose that you have obtained a sample with the intent of performing a particular…

A: Solution: We have to determine:If we have obtained a sample with the intent of performing a…

Q: What are the sample space of the experiment?

A: Here use definition of sample space

Q: Claim: Most adults would erase all of their personal information online if they could. A software…

A: H0 : p =0.5 H1 : p >0.5 Population proportion = p₀ = 0.5 Sample size = n =499 Sample…

Q: Illustrates the effect of  significance level on the power of a two-sample t test?

A: Power of a hypothesis test: The probability of not committing a Type II error is called the power of…

Q: Explain the Difference between the sample space and random variables?

A: Sample space: The sample space is the collection of all outcomes, if a random experiment is…

Q: Explain the basic idea for performing a hypothesis test, based on independent samples, to compare…

A:

Q: What is the similarity between one-way ANOVA and a t-test?

A: Answer: A

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

A:

Q: Give three (3) examples for each where the Two-Sample t-Test and Paired-Samples t-Test were misused…

A: Two-sample t-test is used to compare the means between two independent groups and paired t-test is…

Q: What conditions are necessary in order to use a t​-test to test the differences between two…

A: The objective is to identify the conditions that are necessary to use a t-test to test the…

Q: A direct mail appeal for contributions from a university's alumni and supporters is considered cost…

A: Given: P = 0.15 n = 250 X = 40 α = 0.05 Formula  Used: Test-statistic Z = p^-PP(1-P)n

Q: identify two methods for obtaining a simple random sample

A: The two methods for obtaining a simple random sample are:Lottery method: In this method of random…

Q: ​Claim: Most adults would erase all of their personal information online if they could. A software…

A: State the hypotheses. From the information, given the claim is “most of the adults would erase all…

Q: Claim: Most adults would erase all of their personal information online if they could. A software…

A: The proportion of adults who would erase all of their personal information online if they could is…

Q: Explain ways in which we use the independent sample t-test vs. paired sample t-test?

A: Independent sample t-test vs. paired sample t-test

Q: Sample Variance of 10, 12, 19, 21, 17 are?

A: Here, the sample size, n is 5. The mean is calculated below. x=∑i=1nxin=10+12+19+21+175=15.8

Q: which is more appropriate if the sample size is more than 50? Kolmogorov test or Shapiro test?

A:

Q: rationale for using n – 1 to compute the sample variance

A: we divide by 'n' to get the population variance.

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: State two differences between a cluster sample and a stratified random sample

A: Stratified Sampling: Stratified sampling is a sampling method, in which the population is divided…

Q: What is the appropriate null hypothesis for this test? b. What is the sample size for this data? c.…

A: a) degrees of freedom for groups is 2. Thus, number of treatments is 3. The hypotheses to be tested…

Q: an independent-samples t test, you will usuall

A: the test statistic for independent-samples t test = μ1-μ2-0combined standard deviation

Q: What is the sample size of adults participated in this study?

A: We have to find the sample size for the given situation.

Q: school administrator claims that 85% of the students at his large school plan to attend college…

A: Given that ; Sample size (n) = 50 P = 85 %  P(cap) = 76%  By using one sample proportion test we get

Q: Provide an original example of how one could use a one-sample t-test to evaluate the effectiveness…

A: example of how one could use a one sample t test to evaluate the effectiveness

Q: What are thw two requirements for a random sample?

A: In this case, we need to write the two requirements for the random sample.

Q: use a sample to draw an inference about a population

A: The population is a set of all the possible observations about a specified characteristic of…

Q: is it a cluster sample

A: Cluster Sampling: A heterogeneous population is divided into homogeneous groups and which is used…

Q: what is the general alternative hypothesis for a two tailed independent samples t test

A: Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled…

Q: What is the key role of the hypothesized sampling distribution in hypothesis test?

A: The sampling distribution is the distribution of the statistic. It gives all the possible outcomes…

Q: hat is the key difference between the independent and dependent/paired samples t-test?

A:

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: ​Claim: Most adults would erase all of their personal information online if they could. A software…

A: Ho :   p =    0.5                  H1 :   p >   0.5     (Right tail test)…

Q: What are some different types of analyses I could run on a independent sample t-test?

A: Independent sample t-test : It compares the means between two unrelated group in order to find…

Q: Randomization is important when assigning the students to the treatment and control groups to ensure

A: Here professor compare two groups of college students

Q: Does having a non-significant P-value means that the means of the sample will be the same? explain

A: The hypotheses for the means is constructed as: H0: The means of the sample will be the same. H1:…

Q: Describe the difference in the conclusions that one could draw from a sample T-test when CLT did NOT…

A: Reviewing information, Given that, Central limit theorem(CLT) does not hold for sample

Q: Compute the test statistic (z-observed) for the mentioned sample

A: The sample mean is 4.9, the population standard deviation is 1.8 and the sample size is 36.

Q: What are examples of situations in independent sample t-test vs. Paired sample t-test between two…

A: There are two types of data, one is independent variable and another is dependent variable.…

Q: Perform the analysis of variance (ANOVA) at the 5% significance level to identify is there any…

A: Excel Procedure: Enter the data for 1, 2, 3 in Excel sheet>Go to Data Menu>Click on Data…

Q: When would you use a one-way ANOVA test rather than an independent sample t-test

A: T- test  T-test is the method to know whether the two population are statistically different or not.…

Q: Could please help interpret this SPSS output of a Independent sample t-test?

A: Independent samples t-test is an inferential statistical procedure.

Q: What is Effect of Sample Size on standard error?

A: The standard error is also inversely proportional to the sample size; the larger the sample size,…

Q: Using the t-table, find the critical values for a two-tailed test with a significance level of 5%…

A:

Q: Identify the appropriate test-statistic and look for the rejection region of the following situation

A: Given, Sample mean=27.3 Sample S.D=4.1 Population mean=28 n=80

Q: How do you transform the sample statistic (M, – Mo) into a test statistic (tobs)?

A: The answer is given in the below image.

Q: (4) Are the population mean and variance random variables? Why? Are the sample mean and variance…

A: Note: Hi! Thank you for the question. As questions 4 and 5 are independent questions, according to…