Knowee
Questions
Features
Study Tools

For a 1 Sample T test, when the sample size is 10, what type of distribution do we use to find the p-value?

Question

For a 1 Sample T test, when the sample size is 10, what type of distribution do we use to find the p-value?

🧐 Not the exact question you are looking for?Go ask a question

Solution

For a 1 Sample T test, when the sample size is 10, we use the t-distribution to find the p-value. Here are the steps:

  1. First, calculate the sample mean (x̄) and the sample standard deviation (s).

  2. Then, calculate the test statistic (t) using the formula: t = (x̄ - μ) / (s/√n), where μ is the population mean, and n is the sample size.

  3. After calculating the test statistic, we then refer to the t-distribution table. Since our sample size is 10, we use 9 degrees of freedom (n-1) in the t-distribution table.

  4. Look up the calculated t-value in the t-distribution table under the appropriate degrees of freedom to find the p-value.

  5. The p-value is the probability that you would have found the current result if the null hypothesis were true. So, if the p-value is less than your significance level (usually 0.05), you reject the null hypothesis.

This problem has been solved

Similar Questions

In carrying out a one-sample t-test for a mean, the hypotheses H0:mu=10 against HA:mu>10 were tested.A sample of size 21 was used, giving a t-statistic of 2.00.Determine the P-value associated with this test.

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 10 at a .10 level of significance; t = ?  Group of answer choices-1.3831.383-1.3721.372

Suppose you conduct a t test on mean of Normal population: 𝐻0:𝜇=100 vs 𝐻1:𝜇>100. If sample size is 15 and test statistic t0 = 0.89, then using t table the P-value range is found to be

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 18 at a .05 level of significance t =Group of answer choices1.740-2.110-1.740-1.734

(a) A statistician randomly sampled 100 observations and found X̄ = 106 and s = 35. Calculate the t statistic and p value for testing.     H0 : μ = 100 against HA : μ > 100.Carry out the test at the 1% level of significance.(b) Repeat part (a), with s = 25.(c) Repeat part (a), with s = 15.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.