Question

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. 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

95% of all samples of 10 bees of the type taken from hive will be within how many millimeters (mm)of the sample mean given by the wing width measurements in table above. Hint: You are calculating the margin of error associated with 95% confidence interval. Round answer to 4 decimal places.

2.)

A police department observed 50 out of 89 motorists that went through an intersection were speeding.

A 99% confidence interval for the proportion of those speeding through the intersection is (0.42633,0.69727)

City council has agreed to put a stop sign at the intersection if it can be proved that more than 50% of all motorists speed through it.

Based on this information what conclusions can be drawn from confidence interval? Select all that apply.

Select one or more:

a. A 95% confidence interval for the same sample would be narrower than the 99% confidence interval

b. A 95% confidence interval for the same sample would be wider than the 99% confidence interval

c. If this study were repeated, there is a 99% probability that the calculated confidence interval would contain the true proportion of everyone speeding through intersection.

d. There is enough evidence to conclude more than 50% of all motorists are speeding through intersection

e. There is not enough evidence to conclude more than 50% of all motorists are speeding through intersection

Answer 1