Null and Alternative Hypothesis for Means: Learn It 4

  • Explain the purpose of hypothesis testing.
  • Write the null and alternative hypotheses for tests on population means.
  • Check the conditions for hypothesis tests for population means.
Conditions for a One-Sample [latex]t[/latex]-Test

  1. The sample is a random sample from the population of interest, or it is reasonable to regard the sample as if it is random. It is reasonable to regard the sample as a random sample if it was selected in a way that should result in a sample that is representative of the population.
  2. For each population, the distribution of the variable that was measured is approximately normal, or the sample size for the sample from that population is large. Usually, a sample of size [latex]30[/latex] or more is considered to be “large.” If a sample size is less than [latex]30[/latex], you should look at a plot of the data from that sample (a dotplot, a boxplot, or, if the sample size isn’t really small, a histogram) to make sure that the distribution looks approximately symmetric and that there are no outliers.
In the statistical tool below:

Step 1: Under Enter Data, select Your Own.

Step 2: You may enter the Name of Variable as 2020 Coca-Cola Company grand total.

Step 3: Copy and paste the data set below into the statistical tool.


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