91影视

A sample is taken from body temperatures with a sample size of 93 with the claim that the population mean of the body temperature is equal to \[98.6^\circ \,{\rm{F}}\].

The null hypothesis\[{H_0}\]represents the mean body temperature equal to. Also, the alternate hypothesis\[{H_1}\]represents the mean body temperature, which is not equal to.

Let\[\mu \]be the population mean of the body temperatures.

State the null and alternate hypotheses.

\[\begin{array}{l}{H_0}:\mu = 98.6^\circ \,{\rm{F}}\\{H_1}:\mu \ne 98.6^\circ \,{\rm{F}}\end{array}\]

State the test statistic and the p-value obtained from the second row and the fourth row of the given output, respectively. The critical value can also be observed from the third row.

\[\begin{array}{c}t\left( {{\rm{observed}}} \right) \approx - 7.102\\{\rm{p - value}}\left( {Two - Tailed} \right) < 0.0001\\t\left( {{\rm{critical}}} \right) \approx 1.986\end{array}\]

Reject the null hypothesis when the absolute value of the observed test statistics is greater than the critical value. Otherwise, fail to reject the null hypothesis.

In this case,

\[\begin{array}{c}\left| { - 7.102} \right| = 7.102\\ > 1.986\\t\left( {{\rm{observed}}} \right) > t\left( {{\rm{critical}}} \right)\end{array}\].

The absolute value of the observed test statistic is significantly larger than the critical value. This implies that the null hypothesis is rejected.

As the null hypothesis is rejected, it can be concluded that there is insufficient evidence to support the claim that the population mean of the body temperature is equal to .