Answer:
Comparing means from dependent samples.
Step-by-step explanation:
In the scenario described above, the 25 sampled individuals were used to test the effect of weightlifting on alleviating back pain. The samples used were not changed nor altered during the study as the same subjects who were tested to measure their level of pain before lifting weight were the same group subjected to the actual weight lifting test and again had their level of pain tested. Since only one group was involved in the study ( a single group was tested on neutral and actual treatment). Hence, the study used dependent samples to compare the average level of pain.
5,400 cubes is needed to fill the rectangular prism.
Answer:
The sample data confirm the geneticist's prediction that 75% of the offspring from this cross will have red flowers.
Step-by-step explanation:
A Chi-square goodness of fit test can be used to test the claim made by the geneticist.
The hypothesis is defined as:
<em>H₀</em>: There is no difference between the observed and expected value,i.e. <em>p</em>₁ < 0.75.
<em>Hₐ</em>: There is a significant difference between the observed and expected value, i.e. <em>p</em>₁ > 0.75.
The test statistic is:

Consider the tables attached below.
The value of the test statistic is:

The critical value is:

*Use a Chi-square table.
The critical region is:

The test statistic value of 25.8133 lies in the critical region.
The null hypothesis is rejected at 1% level of significance.
<u>Conclusion</u>:
As the null hypothesis is rejected it can be concluded that 75% of the offspring from this cross will have red flowers.