The article “Well-Fed Crickets Bowl Maidens Over” ( Nature Science Update , February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that...

The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 22 male crickets a high protein diet for 8 days, after which chirp rate was measured.

Let:

The parameterμμ be the mean chirp rate of male crickets on a high protein diet for 8 days.

Given:

• The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 65.32 chirps per second with a standard deviation of 12.

Research Question:

• Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies?


• It is known that the researchers did not want to risk a Type I error of more than 5%

1.1 Find the critical value for the appropriate test statistic.

1.2 According to the critical value approach, it is evident that the null hypothesis is      and there is      that the mean chirp rate is higher for male field crickets that eat a high protein diet. (fill in blanks)

1.3

Choose the correct interval for the p-value: options sown in photo

Extracted text: O 0 < p-value="">< 0.005="" o="" 0.005="">< p-value="">< 0.01="" o="" 0.01="">< p-value="">< 0.025="" o="" 0.025="">< p-value="">< 0.05="" o="" 0.05="">< p-value="">< 0.1="" o="" p-value=""> 0.1