Question

3. Null hypotheses for an independent-measures t test Which of the following null hypotheses is appropriate...

3. Null hypotheses for an independent-measures t test

Which of the following null hypotheses is appropriate for an independent-measures t test?

H₀: μ₁ – μ₂ ≠ 0

H₀: μ₁ – μ₂ = 0

H₀: μ ≥ 0

H₀: μ < 4

Homework Answers

Answer #1

Solution:

Correct option is

H₀: μ₁ – μ₂ = 0

Explanation:

In an independent-measures t test , we test for the difference between two population means.

i.e. μ₁ – μ₂

Valid signs in null hypothesis H0 are = , and

Valid signs in alternative hypothesis HA   are , < and >

So for an independent-measures t test,

Null hypothesis is

H₀: μ₁ – μ₂ = 0

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
what null hypothesis is tested by an independent measures t-test? what value does the t-test compare?
what null hypothesis is tested by an independent measures t-test? what value does the t-test compare?
Describe an imaginary research study where it would be appropriate to use an independent-measures design that...
Describe an imaginary research study where it would be appropriate to use an independent-measures design that could be analyzed using a t hypothesis test. What are the two sets of data to be compared? What are the null & alternative hypotheses?
A researcher wishes to test the following hypotheses: H 0 : μ ≤ 10 H A...
A researcher wishes to test the following hypotheses: H 0 : μ ≤ 10 H A : μ > 10 Based on 54 independent observations, he calculates a sample mean of 11 and a sample standard deviation of 4. Calculate the T-score he should use for his test statistic. Report your answer to at least three decimal places, e.g., 0.123.
20) A test of significance is conducted for the hypotheses H 0 : μ = 200    vs.    H...
20) A test of significance is conducted for the hypotheses H 0 : μ = 200    vs.    H a : μ > 200. Suppose the z −score for this test was calculated as z =0.76. What is the P-value for this test of significance? Give your answer to four decimal places. 22) A one sample t −test of significance is conducted for the hypotheses H 0 : μ = 1000    vs.    H a : μ < 1000 using a sample of size 100. The...
: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t...
: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test. Data: Use the information from Problem Set 3.7. Instructions: Complete the following: Minutes of practice: Group 1: 34, 25, 4, 64, 14, 49, 54 Group 2: 24, 78, 59, 68, 84, 79, 57 a.   Identify the IV and DV in the study. b.   State the null hypothesis and the directional (one-tailed) alternative hypothesis. c.   Can you reject the null hypothesis at α =...
Consider the following data from a repeated-measures design. You want to use a repeated-measures t test...
Consider the following data from a repeated-measures design. You want to use a repeated-measures t test to test the null hypothesis H0: µD = 0 (the null hypothesis states that the mean difference for the general population is zero). The data consist of five observations, each with two measurements, A and B, taken before and after a treatment. Assume the population of the differences in these measurements are normally distributed. Observation A B 1 1 3 2 3 4 3...
Which of the following are assumptions for the independent-measures t formula for hypothesis testing? 1) The...
Which of the following are assumptions for the independent-measures t formula for hypothesis testing? 1) The observations within each sample must be independent 2) The two populations from which the samples are selected must be normal 3) The two populations from which the samples are selected must be have equal variances 4) All of the above
Problem #2 1) Conduct an independent-measures t-test using the following data set: Group 1: 12 10...
Problem #2 1) Conduct an independent-measures t-test using the following data set: Group 1: 12 10 15 12 4 16 6 10 8 Group 2: 8 5 9 0 6 5 0 1 - 2) Determine the critical values (for an alpha of .05) that you should use to evaluate this t-score.
Question:  Decide between the null and alternative hypotheses and state a real world conclusion. Data were collected...
Question:  Decide between the null and alternative hypotheses and state a real world conclusion. Data were collected from a random sample of American Facebook accounts. Data concerning gender and number of Facebook friends: Descriptive Statistics Sample N Mean StDev SE Mean Men 64 717.56 530.40 66.30 Woman 66 618.95 454.16 55.90 Test Null hypothesis H₀: μ₁ - μ₂ = 0 Alternative hypothesis H₁: μ₁ - μ₂ ≠ 0 T-Value DF P-Value 1.14 123 0.2577
The null and alternative hypotheses for z -test refer to which of the following? A. The...
The null and alternative hypotheses for z -test refer to which of the following? A. The population before the treatment. B. The sample before the treatment. C. The sample after the treatment. D. The population after the treatment.