Imagine that a tomato farmer wants to know how many tomatoes

Last updated: 3/21/2023

Imagine that a tomato farmer wants to know how many tomatoes she should save this year to have enough seeds for next year s crop Historically she has obtained an average of 17 viable seeds per tomato She wants to check if the number of viable seeds for this year s crop is any different from the average Because she does not have any preconceived notions of why this year s crop would be more or less viable than her past crops she decides to answer her question using a two tailed t test for a mean The farmer picks one randomly selected tomato each from 50 randomly selected plants and uses a germination experiment to determine how many seeds from each tomato are viable She calculates the sample mean as 15 viable seeds per tomato with a standard deviation of 4 3 seeds Her sample data appear normal and do not contain any outliers Select the appropriate null and alternative hypotheses for Elizabeth s question Ho H