Suppose Heather suspects that the G string on her guitar is too sharp. She knows

Question

Suppose Heather suspects that the G string on her guitar is too sharp. She knows that playing a G3 note should produce a frequency of 196.00 Hz, and if the frequency is higher than that, the note is sharp. Because of slight variations in her guitar tuner's measurements, she played a G3 on the G string 10 times and recorded each of the measured frequencies Heather found that her 10 measurements yielded a sample mean of 196.28 Hz and a sample standard deviation of 0.54 Hz. She then used this information to conduct a one-sample t-test of the null hypothesis Ho: = 196.00 against the alternative hypothesis Hi : > 196.00, where is the mean frequency, in hertz produced when she plays a G3 note before tuning her Heather calculated a test statistic of 1.64 and a p-value of 0.0677. If she is conducting her test at a significance level of 0.01 what is her conclusion? The decision is to the null hypothesis at significance level = 0.01 (p = There evidence that the mean frequency for is Hz.

Explanation / Answer

Since i do not know the options available in the dropdown, i will try and provide the closest match of the correct option.

The decision is to not reject the null hypothesis at significance level = 0.01 (p = 0.0677)

There is not enough evidence that the mean frequency for her guitar to pay G3 note is higher than 196 Hz

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