Question

2 types of peach trees are thought to produce different masses of fruit. Do type 2 trees produce larger fruit? Test hypothesis with R and give p-value.

Type 1	67	83	94
Type 2	206	111	91	112	89

Answer 1

Null Hypothesis, Ho: There is no significant difference in the mean masses of fruits from Type 1 and Type 2 peach trees i.e.

Alternative hypothesis, H1: Type 2 tree produces larger fruits than Type 1 tree i.e.

We will use 2-sample independent t-test. Before using t-test, we need to check for equality of variances using Bartlett's test.

Since p-value for Bartlett's test is less than 0.05 so we reject Ho and conclude that the variances for the two tree types are not equal.

So we use t-test when variances are unequal.

Here in t-test, p value is less than 0.05 so we reject Ho and conclude that tree type 2 produces larger fruits.