Different types of bees are very similar in appearance. Statistical analysis of certain measurements, like wing width, can be used to distinguish one kind of bee from another.
The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths are given below.
Wing Width Measurements (mm)
2.88
2.83
2.91
2.83
2.94
2.87
2.80
2.80
2.83
2.88
A Hypothesis test is to be conducted to determine whether or not bees from the hive is the same as the specific type of honeybee having a mean wing width of 2.82 mm.
A Hypothesis test is to be conducted to determine whether or not bees from the hive is the same as the specific type of honeybee having a mean wing width of 2.82 mm.
A) What would be the null hypothesis?
B) What would be the alternative hypothesis?
C) What is the sample mean wing width for bees the bees in hive? Rounded to 2 decimal places.
D) If the mean wing width of bees in hive is 2.82 mm, what would be probability of getting the sample mean or a mean more extreme then the sample mean.
E) At the 0.05 significance level is there enough evidence to conclude the bees in the hive aren't the same species of bee having mean wing width 2.82 mm? "yes" or "no"
F) Would a type I error occur if you concluded the bees from the hive weren't the same species as bees having mean wing width 2.82 when in reality they were the same species of bees. "yes" or "no"
G) Would lowering the significance level increase the chance of committing a type I error? "yes" or "no"
H) At the 0.01 significance level is there enough evidence to conclude the bees in the hive aren't the same species of bee having mean wing width 2.82 mm? "yes" or "no"
.
Different types of bees are very similar in appearance- Statistical an.docx
1. Different types of bees are very similar in appearance. Statistical analysis of certain
measurements, like wing width, can be used to distinguish one kind of bee from another.
The wing width for a specific type of honeybee is approximately normally distributed with a
mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing
widths are given below.
Wing Width Measurements (mm)
2.88
2.83
2.91
2.83
2.94
2.87
2.80
2.80
2.83
2.88
A Hypothesis test is to be conducted to determine whether or not bees from the hive is the same
as the specific type of honeybee having a mean wing width of 2.82 mm.
A Hypothesis test is to be conducted to determine whether or not bees from the hive is the same
as the specific type of honeybee having a mean wing width of 2.82 mm.
A) What would be the null hypothesis?
B) What would be the alternative hypothesis?
C) What is the sample mean wing width for bees the bees in hive? Rounded to 2 decimal places.
D) If the mean wing width of bees in hive is 2.82 mm, what would be probability of getting the
sample mean or a mean more extreme then the sample mean.
E) At the 0.05 significance level is there enough evidence to conclude the bees in the hive aren't
the same species of bee having mean wing width 2.82 mm? "yes" or "no"
2. F) Would a type I error occur if you concluded the bees from the hive weren't the same species
as bees having mean wing width 2.82 when in reality they were the same species of bees. "yes"
or "no"
G) Would lowering the significance level increase the chance of committing a type I error? "yes"
or "no"
H) At the 0.01 significance level is there enough evidence to conclude the bees in the hive aren't
the same species of bee having mean wing width 2.82 mm? "yes" or "no"
2.882.832.912.832.94
2.872.802.802.832.88
