The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.83 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths were measured. They had a mean of 2.85 mm with a standard deviation of 0.05 mm. Can we conclude that the bees from the hive have a larger wing width than this one type of honeybee? Use a significance level of 0.05, assume the sample is normal.

A. H_o: 2.83

H_a: 2.83

B. Are the criteria for normality met? (fill in the blank with the correct response: yes or no)

Test Statistic

T= (round to 2 decimal places)

C. P-Value= (round to 3 decimal places)

D. P-value .05(fill in the blank with the correct response: < or >)

Conclusion

There (fill in the blank with the correct response: is or is not). enough evidence to conclude that the bees from the hive have a larger wing width than this one type of honeybee.