Question

In: Statistics and Probability

3. Suppose that we obtain "5-lb" boxes of Bunnynibble and Kittybarf grasses, 30 boxes of each....

3. Suppose that we obtain "5-lb" boxes of Bunnynibble and Kittybarf grasses, 30 boxes of each. The Bunnynibble boxes have a mean weight of 5.02 lbs and a sample standard deviation of 0.05, while the Kittybarf boxes have a mean weight of 5.05 lbs and a sample standard deviation of 0.08.

a. Find a 95% confidence interval for the difference in mean distances.

b. Is there enough evidence at the ?=0.05 significance level to indicate a difference in the mean distances? What is the p-value of the test?

Solutions

Expert Solution


Related Solutions

There are 5 boxes. One box is empty; two boxes each contains one marble; and the...
There are 5 boxes. One box is empty; two boxes each contains one marble; and the remaining two boxes each contains two marbles. Suppose that the colors of the marbles are not known, but it is known that each marble can only be either red or green, with equal probability. Suppose that ONE box is randomly chosen from the 5 boxes, and let R denote the number of the red marble(s) the box has, and G be the number of...
6) There are 5 boxes. In each box there are 5 tickets labelled with the numbers...
6) There are 5 boxes. In each box there are 5 tickets labelled with the numbers 1,2,3,4,5. An experiment is to draw one number at random from each of the five boxes. Calculate the following probabilities using a calculator, but show some work. a) P(no two numbers alike). b) P(exactly two alike). (example 11234) c) P(exactly three alike). (example 11123) d) P(exactly four alike). (example 11112) e) P(two pair). (example 11223) f) P(the number 4 comes up at least once)
Two best friends sell cupcakes. They have 3 boxes red velvet , 5 boxes vanilla, 4...
Two best friends sell cupcakes. They have 3 boxes red velvet , 5 boxes vanilla, 4 boxes chocolate, and 6 peanut butter. Each box they sells for $4. a)   Define random variable b)   Determine probability distribution and parameters for the random variable defined in item a. c)   Suppose that after two hours ten boxes of cupcakes have been purchased. Determine the cumulative distribution function for the number of red velvet purchased d)   Draw the probability distribution function for the number...
5. (20%) Suppose we have an array int a [8] = {1, 2, 3, 5, 6};...
5. (20%) Suppose we have an array int a [8] = {1, 2, 3, 5, 6}; and we also have a linked list L of 5 entries 1 -> 2 -> 3 -> 5 -> 6, where 1 is the first in the linked list L, followed by 2 etc. We want to put a new item 4 between 3 and 5 in the array a and in the linked list L (a) Explain in plain English how you do...
Laura is planning to buy five 5-lb bags of sugar, four 5-lb bags of flour, five...
Laura is planning to buy five 5-lb bags of sugar, four 5-lb bags of flour, five 1-gal cartons of milk, and four 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. Sugar (5-lb bag) Flour (5-lb bag) Milk (1-gal carton) Eggs (1-dozen carton) Supermarket I $3.15 $3.79 $2.99 $3.49 Supermarket II $2.99 $2.89 $2.79 $3.29 Supermarket III $3.74 $2.98 $2.89 $2.99 (a) Write a 3 × 4 matrix A to represent the...
Problem 3 (5 marks). Suppose elements a[i] and a[i+k] are in the wrong order and we...
Problem 3 . Suppose elements a[i] and a[i+k] are in the wrong order and we swap them. Prove that this will remove at least 1 inversion but at most 2k − 1 inversions. (This is textbook problem 7.3.) Further explain why both the lower bound of 1 and the upper bound of 2k − 1 can be attained for any i, k, where k > 0.
Consider a collection of 10 empty boxes (numbered from 1 to 10) and 5 balls. Suppose...
Consider a collection of 10 empty boxes (numbered from 1 to 10) and 5 balls. Suppose that each ball is placed in a box chosen at random. Assume that this placement of a ball in a box is performed independently for each ball. Note that a box may contain more than one ball and that some of the boxes will necessarily remain empty. Hint: Since more than one ball can be placed in the same box, it is best to...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. - Box #2 contains: + 8 Black balls. + 4 White balls. - Two balls are drawn from Box #2 and placed into Box #1. - A ball is drawn from Box #1. 1- What is the probability that the ball drawn from Box #1 is White? 2- Suppose that the ball drawn from Box #1 is White, then what is the probability that at...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. - Box #2 contains: + 8 Black balls. + 4 White balls. - Two balls are drawn from Box #2 and placed into Box #1. - A ball is drawn from Box #1. 1- What is the probability that the ball drawn from Box #1 is White? 2- Suppose that the ball drawn from Box #1 is White, then what is the probability that at...
In how many ways can we distribute 10 distinct balls into 5 distinct boxes with exactly...
In how many ways can we distribute 10 distinct balls into 5 distinct boxes with exactly 2 boxes empty?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT