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Two drugs were being compared for effectiveness in a randomized control trial

Math

Two drugs were being compared for effectiveness in a randomized control trial. Participants for both groups were selected so that each had a BMI of 32 and age of 35 years old at the beginning of the trial.

The diets were strictly enforced to be equal and each participant was allowed to exercise 30 minutes per day during the 12 week

trial period. Each trial began with 50 participants

For the 43 people in drug A's group, the average weight loss was 12.3 lbs with a sample standard deviation of 4.2 lbs.

In group B the 41 who finished the trial ended up with an average weight loss of 11.4 lbs and a standard deviation of 3.2 lbs.

State the alternative hypothesis for this experiment.

Which of the following are not assumptions needed to apply the independent samples t-test for this problem?

Group of answer choices

At least 10 successes and failures in each group

Independent sampling within the groups

Independent sampling between the groups

No outliers in either group

Each group must not be heavily skewed

Sigma must be known

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Step-by-step explanation

State the alternative hypothesis for this experiment.

Here we want to test whether the two drugs were being compared for effectiveness in a randomized control trial or they have same effect.

So the null and alternative hypothesis are as follows:

Null hypothesis, H0: µ1 = µ2

Alternative hypothesis, H1: µ1 ≠ µ2

Which of the following are not assumptions needed to apply the independent samples t-test for this problem?

There are three main assumption for independent samples t-test.

1) Independence: both the groups are independent and the sample are randomly selected from the population.

From this assumption, we require 

Independent sampling within the groups

Independent sampling between the groups

2) Normality: The data is comes from the normal distribution.

From this we required

No outliers in either group

Each group must not be heavily skewed.

3) Homogeneity of Variance

The variances of each samples are homogeneous.

So from the given options, we do not need 

"At least 10 successes and failures in each group" and "Sigma must be known" these assumptions".

Answer: 

At least 10 successes and failures in each group and

Sigma must be known" these assumptions.