It sounds quite plausible to me.
2 seconds sound clip from the The Cocoanuts (1929) movie soundboard.
You can hear this line at 01:03:15.625 in the DVD version of the movie.
Quote context
[...]
- I didn't want you to do it. I just meant that you could give me one like it.
- Wait a minute. Are you accusing me of taking Mrs. Potter's necklace?
- I'm taking all the blame myself. I was joking, and you took me seriously.
- Bob, last night when you told me that you'd taken it, I just couldn't believe it.
- Why, Polly, she's out of her mind.
- It sounds quite plausible to me.
- He didn't know what he was doing. I begged him to take it back.
- Say, I'm not gonna stand for any more of this. Why, the whole thing is ridiculous. It's absurd!
- Do you people really think for one moment that... Oh, I... I don't care what you think, any of you.
- Polly, you know it's a lie, don't you?
- It was just a harmless flirtation, and then, well, he lost his head.
[...]