The correct spelling of the phrase "study atimprove" is actually "study to improve". In phonetic transcription, "study" is pronounced as /ˈstʌdi/ and "to" is pronounced as /tu/. The word "improve" is spelled as /ɪmˈpruːv/ in IPA, with emphasis on the second syllable. Therefore, the phrase should be spelled as "study to improve" to convey the intended meaning of working towards enhancing knowledge and skills. It is important to pay attention to spelling and grammar to ensure clear communication.