QuestionThe "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg ) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September $57 \quad 63 \quad 60$ 70 52 65 $\begin{array}{lll}74 & 92 & 57\end{array}$ April 58 65 64 68 53 82 92 59
Identify the P -value. P -value $=0.027^{7}$ (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P -value is less than the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is $\square$ $\mathrm{kg}<\mu_{\mathrm{d}}<$ $\square$ kg. (Type integers or decimals roundeध to one decimal place as needed.)