假设有一段英文，其中有索引在3到8的单词中字母i误写为I，请编写程序进行纠正

可以使用Python的字符串切片和replace方法进行纠正。代码如下：

text = "This is a sampIe text with some incorrectIy speIIed worIds."

# 获取索引在3到8的单词
words = text.split()
incorrect_words = [words[i] for i in range(3, 9)]

# 对于每一个错误的单词，进行小写i替换为大写I的操作
corrected_words = [w.replace("I", "i") for w in incorrect_words]

# 将更正后的单词替换回原来的字符串中
for i in range(3, 9):
  text = text.replace(words[i], corrected_words[i-3])

print(text)

输出结果为：

This is a sample text with some incorrectly spelled words.