Final answer:
The question of interest is whether the sample mean for the pepper plant is less than 80 days. This can be determined using a hypothesis test and comparing the test statistic to the critical value.Option A is the correct answer.
Step-by-step explanation:
The question of interest in this case is A. Is the sample mean for the pepper plant less than 80 days?
To determine the answer to this question, we need to use a hypothesis test. The null hypothesis (H0) states that the mean number of days to maturity is equal to 80, and the alternative hypothesis (Ha) states that the mean number of days to maturity is less than 80.
We can calculate the test statistic using the formula: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). Then, we compare the test statistic to the critical value from the t-distribution table with (sample size - 1) degrees of freedom at a significance level of 0.05.
If the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is evidence the average days to maturity for the pepper plant is less than 80 days.