In: Math
The commercial for the new Meat Man Barbecue claims that it
takes 20 minutes for assembly....
The commercial for the new Meat Man Barbecue claims that it
takes 20 minutes for assembly. A consumer advocate thinks that the
assembly time is lower than 20 minutes. The advocate surveyed 11
randomly selected people who purchased the Meat Man Barbecue and
found that their average time was 19.7 minutes. The standard
deviation for this survey group was 2.1 minutes. What can be
concluded at the the αα = 0.05 level of significance level of
significance?
- For this study, we should use Select an answert-test for a
population meanz-test for a population proportion
- The null and alternative hypotheses would be:
H0:H0: ?pμ ?≠=<>
H1:H1: ?pμ ?<≠=>
- The test statistic ?zt = (please show your answer to 3 decimal
places.)
- The p-value = (Please show your answer to 4 decimal
places.)
- The p-value is ?>≤ αα
- Based on this, we should Select an answerfail to
rejectrejectaccept the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the populaton mean is
significantly lower than 20 at αα = 0.05, so there
is statistically significant evidence to conclude that the
population mean amount of time to assemble the Meat Man barbecue is
lower than 20.
- The data suggest the population mean is not
significantly lower than 20 at αα = 0.05, so there
is statistically insignificant evidence to conclude that the
population mean amount of time to assemble the Meat Man barbecue is
equal to 20.
- The data suggest that the population mean amount of time to
assemble the Meat Man barbecue is not
significantly lower than 20 at αα = 0.05, so there
is statistically insignificant evidence to conclude that the
population mean amount of time to assemble the Meat Man barbecue is
lower than 20.