1.When is it appropriate to use the t-distribution in testing a hypothesis abouta population mean?2.In what ways are the distributions of the z-statistic and the t-statistic alike?How do they differ?3.Calculate the t-statistic for each of the following:H = 12, X= 15, s = 4, n = 12µ = 10, X=7.8, s = 5.1, n = 10µ = 5.3, X= 5, s = 0.14, n = 8µ= 9.1, X=7.2, s = 1.8, n = 15µ = 7, X= 5, s = 3, n = 10a.b.С.d.е.A random sample of ten measurements were obtained from a normallydistributed population with mean µ=6.5. The sample values are X=4.2 ands = 2.4.Test the null hypothesis that the mean of the population against thealternative hypothesis, µ = 6.5. Use a= 0.05.a.Test the null hypothesis that the mean of the population against thealternative hypothesis,H#6.5. Use a = 0.05b.Conduct a t-test for the null hypothesis H,: µhypothesis H: µ > 100 based on 15 random observations. The sample meanis 110 and the sample standard deviation is 8. Use a = 0.05.5.= 100 against the alternative

Name: 1.When is it appropriate to use the t-distribution in testing a hypot
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 1.When is it appropriate to use the t-distribution in testing a hypothesis abouta population mean?2.In what ways are the distributions of the z-statistic and the t-statistic alike?How do they differ?3.Calculate the t-statistic for each of the follow

Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Answered: 1. When is it appropriate to use the…

Math

Statistics

1. When is it appropriate to use the t-distribution in testing a hypothesis about population mean? a

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A researcher has run an experiment on the effects of early cognitive simulation on children and their school success at age 10 years. He wants to compare his sample results to the normal distribution (z-distribution), but he is not sure whether the population distribution is normal or not. He comes to you as an expert in statistics for advice. Can he do this? Why or why not? What conditions must be met?
3. The pooled variance is a function of the sample variances. O True O False
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
In a certain populalion, let us assume that IQ scores are normally distributed with mean of 100 and standard devialion of 15. What percentage of the population have IQ scares more than 116? Select one: a. 0.6808 O b. 0.2327 O c. 0.3192 C d. 0.8577 e. 0.1423 f. 0.7673
2. When we carry out a 1-sample hypothesis test for the mean, one of the ways that we can check for normality is to look at the normal plot. How do we know if our normality assumption is satisfied by looking at the normal plot? Be as specific as possible.
Describe a study in which you can use both nonparametric and parametric statistics. A researcher has participants expecting to receive either painful or mild electrical shocks during a study wait in a quarter-full waiting room with other participants. He then measures whether they choose to sit next to other participants or if they sit far away on their own. What is the best test to run for this study and why?
B. Explain the following: 1. What is a t-distribution? 2. When is a z-test and the t-test used?
-what kinds of questions can we test with a t test? -How do you know if two samples are statistically different from each other? In other words, what statistics will tell you if your results are statistically significant?
"What i v nighest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1125 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. 257 43.1 110.1 High school 292 44.2 84.9 Bachelor's 294 42.7 105.8 Graduate 282 43.6 100.8 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F = Variation within the samples For the data from the survey, F - 1.22. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. (b) From…
10. For which of the following cases would you use a t-test statistic? A. Where the population distribution is not normal, the population variance is not known and the sample size is below 25. B. Where the population distribution is not normal but the population variance is known. C. Where the population distribution is normal, the population variance is not known and the sample size is below 25. D. Where the population distribution is normal, the population variance is known and the sample size is 25 or more.
a) Determine the standard deviation (s) of sunflower heights in the test plot which wasnot fertilized and the Pseudo-Standard deviation (PSD) of sunflower heights in the test plotwhich was fertilized. b) Consider the following three statements A.If the median of X is greater than the mean of X than the distribution of X ispositively skewed. B.For Normal populations the median and the mean are approximately equal. C.The median and the Inter-quartile range are measures of variability in apopulation. c) Consider the following three statements A.The correlation between two positive quantities is always positive. B.If the correlation between X and Y is negative than the slope of the regressionline for predicting Y from X is negative. C.Pearsons correlation coefficient is always between -1 and +1. This is notnecessarily true for Spearmans correlation coefficient
At a 0.05, test to see if the population variances from which the following samples were drawn are equal. The test statistic is Group 1 n₁ = 21 Group 2 n₂ = 19 $1 = 20 S2 = 18 (A) 1.56 (B) 1.23 (C) 1.26 (D) 1.11