Children Narrative
Two random samples of 3-year-old children, each of size 25, 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. A test for the difference between the two population means is conducted on this data.
-Refer to Children Narrative. If we were interested in testing against the one-tailed alternative that at the level of significance, should the null hypothesis be rejected or not be rejected?

Question

Children Narrative
Two random samples of 3-year-old children, each of size 25, 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. A test for the difference between the two population means is conducted on this data.
-Refer to Children Narrative. If we were interested in testing against the one-tailed alternative that  at the  level of significance, should the null hypothesis be rejected or not be rejected?

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The Answer of Children Narrative
Two random samples of 3-year-old children, each of size 25, 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. A test for the difference between the two population means is conducted on this data.
-Refer to Children Narrative. If we were interested in testing against the one-tailed alternative that  at the  level of significance, should the null hypothesis be rejected or not be rejected?

Children Narrative Two Random Samples of 3-Year-Old Children, Each of Size 25