Answer:
0.0930; fail to reject the null hypothesis
Explanation:
Sample Statistics


Population Statistics


Claim
The mean weight of women is 145lbs
Counterclaim:
The mean weight of women is not equal to 145lbs
Null hypothesis

Alternative hypothesis

Significance Level
for a 2-tailed test at a 95% confidence level
Test Statistic

Corresponding p-value
![p=2[$normalcdf(1.6805,\infty,0,1)]\approx2(0.04643)\approx0.09286\approx0.0930](https://img.qammunity.org/2023/formulas/mathematics/high-school/dcgy3xa0bnou3loxgxmscjtm2fo5h10oir.png)
The test is 2-tailed because our alternate hypothesis,
, already implies that the population mean,
, could be either less than or greater than 145lb. Since 0.09286>0.05, we are within the 95% confidence level, so there's insufficient evidence in our sample data to suggest that we reject the null hypothesis. This means that it's 9.3% more likely that the null hypothesis is true than the alternate hypothesis is. Thus, the sample data do not differ significantly from the expected mean of 145lb.