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Asked by Samareleni Lazcano on Jul 08, 2024

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Two samples each of size 25 three-year-old children are taken from independent populations. The populations are distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean 33.0 and standard deviation of 4.0.
The pooled variance is ______________.
The computed t-statistic is ______________.
There are ______________ degrees of freedom for this test.
The critical values for a two-tailed test of the null hypothesis of no difference in the population means at the Two samples each of size 25 three-year-old children are taken from independent populations. The populations are distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean 33.0 and standard deviation of 4.0. The pooled variance is ______________. The computed t-statistic is ______________. There are ______________ degrees of freedom for this test. The critical values for a two-tailed test of the null hypothesis of no difference in the population means at the = 0.05 level of significance ______________. A two-tailed test of the null hypothesis of no difference would ______________ at the = 0.05 level of significance. The p-value for a two-tailed test whose computed t-statistic is 2.50 is between ______________. If we were interested in testing against the one-tailed alternative that at the = 0.01 level of significance, the null hypothesis would ______________. The p-value for a one-tailed test whose computed statistic is 2.50 (in the hypothesized direction) is between ______________. = 0.05 level of significance ______________.
A two-tailed test of the null hypothesis of no difference would ______________ at the Two samples each of size 25 three-year-old children are taken from independent populations. The populations are distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean 33.0 and standard deviation of 4.0. The pooled variance is ______________. The computed t-statistic is ______________. There are ______________ degrees of freedom for this test. The critical values for a two-tailed test of the null hypothesis of no difference in the population means at the = 0.05 level of significance ______________. A two-tailed test of the null hypothesis of no difference would ______________ at the = 0.05 level of significance. The p-value for a two-tailed test whose computed t-statistic is 2.50 is between ______________. If we were interested in testing against the one-tailed alternative that at the = 0.01 level of significance, the null hypothesis would ______________. The p-value for a one-tailed test whose computed statistic is 2.50 (in the hypothesized direction) is between ______________. = 0.05 level of significance.
The p-value for a two-tailed test whose computed t-statistic is 2.50 is between ______________.
If we were interested in testing against the one-tailed alternative that Two samples each of size 25 three-year-old children are taken from independent populations. The populations are distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean 33.0 and standard deviation of 4.0. The pooled variance is ______________. The computed t-statistic is ______________. There are ______________ degrees of freedom for this test. The critical values for a two-tailed test of the null hypothesis of no difference in the population means at the = 0.05 level of significance ______________. A two-tailed test of the null hypothesis of no difference would ______________ at the = 0.05 level of significance. The p-value for a two-tailed test whose computed t-statistic is 2.50 is between ______________. If we were interested in testing against the one-tailed alternative that at the = 0.01 level of significance, the null hypothesis would ______________. The p-value for a one-tailed test whose computed statistic is 2.50 (in the hypothesized direction) is between ______________. at the Two samples each of size 25 three-year-old children are taken from independent populations. The populations are distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean 33.0 and standard deviation of 4.0. The pooled variance is ______________. The computed t-statistic is ______________. There are ______________ degrees of freedom for this test. The critical values for a two-tailed test of the null hypothesis of no difference in the population means at the = 0.05 level of significance ______________. A two-tailed test of the null hypothesis of no difference would ______________ at the = 0.05 level of significance. The p-value for a two-tailed test whose computed t-statistic is 2.50 is between ______________. If we were interested in testing against the one-tailed alternative that at the = 0.01 level of significance, the null hypothesis would ______________. The p-value for a one-tailed test whose computed statistic is 2.50 (in the hypothesized direction) is between ______________. = 0.01 level of significance, the null hypothesis would ______________.
The p-value for a one-tailed test whose computed statistic is 2.50 (in the hypothesized direction) is between ______________.

Pooled Variance

An estimate of variance across different samples or groups that assumes the underlying population variances are equal.

T-Statistic

A type of test statistic calculated to determine if a hypothesis should be accepted or rejected, commonly used in a t-test to compare means.

Degrees of Freedom

The number of independent values or quantities that can vary in the analysis without breaking any constraints, relevant in statistical tests to assess the validity of the test.

  • Recognize and implement the appropriate degrees of freedom in the hypothesis testing of two separate samples.
  • Locate and engage the rejection territory in hypothesis examination.
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MATURA SELVARAJAHJul 10, 2024
Final Answer :
12.5; 2.50; 48; -2.0106, 2.0106; be rejected; 0.01, 0.02; be rejected; 0.005, 0.01

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