The U-Plant’um Nursery must determine if there is a difference in the growth rate of saplings that have been treated with four different chemical formulas. The resulting growth rates over a given period are shown here. Does a difference appear to exist in the growth factor of the formulas? Set alpha = 0.01.
FORMULA
10 8 5 7
12 15 17 14
17 16 15 15
In: Math
5. Listed in the table below are the robbery and aggravated assault rates (occurrences per 100,000) for the 12 most populated U.S. cities in 2006: City Robbery (x) Aggravated Assault (y) New York 288 330 Los Angeles 370 377 Chicago 555 610 Houston 548 562 Phoenix 288 398 Philadelphia 749 720 Las Vegas 409 508 San Antonio 180 389 San Diego 171 301 Dallas 554 584 San Jose 112 248 Honolulu 105 169 a. Calculate the standard error of the estimate. b. Estimate the strength of the linear relationship between x and y.
In: Math
A 99% CI on the difference between means will be (longer than/wider than/the same length as/shorter than/narrower than )a 95% CI on the difference between means.
In semiconductor manufacturing, wet chemical etching is often
used to remove silicon from the backs of wafers prior to
metalization. The etch rate is an important characteristic in this
process and known to follow a normal distribution. Two different
etching solutions have been compared, using two random samples of
10 wafers for each solution. Assume the variances are equal. The
etch rates are as follows (in mils per minute):
Solution 1 |
Solution 2 |
|||
9.8 |
10.2 |
10.6 |
10.4 |
|
9.4 |
10.3 |
10.6 |
10.2 |
|
9.3 |
10.0 |
10.7 |
10.7 |
|
9.6 |
10.3 |
10.4 |
10.4 |
|
10.2 |
10.1 |
10.5 |
10.3 |
(a) Calculate the sample mean for solution 1: x¯1= Round
your answer to two decimal places (e.g. 98.76).
(b) Calculate the sample standard deviation for solution 1:
s1 = Round your answer to three
decimal places (e.g. 98.765).
(c) Calculate the sample mean for solution 2: x¯2= Round
your answer to two decimal places (e.g. 98.76).
(d) Calculate the sample standard deviation for solution 2:
s1 = Round your answer to three
decimal places
(e) Test the hypothesis H0:μ1=μ2 vs H1:μ1≠μ2.
Calculate t0 = Round your answer to
two decimal places (e.g. 98.76).
(f) Do the data support the claim that the mean etch rate is
different for the two solutions? Use α=0.05.
yesno
(g) Calculate a 95% two-sided confidence interval on the difference
in mean etch rate.
(Calculate using the following order: x¯1-x¯2)
( ≤ μ1-μ2 ≤ ) Round your answers to
three decimal places (e.g. 98.765).
In: Math
suppose we take a die with 3 on three sides 2 on two sides and 1 on one side, roll it n times and let Xi be the number of times side i appeared find the conditional distribution P(X2=k|X3=m)
In: Math
1. Consider the relationship between the number of bids an item on eBay received and the item's selling price. The following is a sample of 55 items sold through an auction.
Price in Dollars | 2222 | 2626 | 2727 | 3636 | 4545 |
---|---|---|---|---|---|
Number of Bids | 11 | 44 | 55 | 55 | 77 |
Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0= −1.9336 and b1= 0.2030 for the calculations. Round your answer to three decimal places.
Step 2 of 5: Calculate the estimated variance of errors, s2e. Round your answer to three decimal places.
Step 3 of 5: Calculate the estimated variance of slope, s2b1. Round your answer to three decimal places.
Step 4 of 5: Construct the 80% confidence interval for the slope. Round your answers to three decimal places.
Lower endpoint:
Upper endpoint:
Step 5 of 5: Construct the 98% confidence interval for the slope. Round your answers to three decimal places.
Lower endpoint:
Upper endpoint:
In: Math
Customer | Type of Customer | Items | Net Sales | Method of Payment | Gender | Marital Status | Age |
1 | Regular | 1 | 49.5 | Discover | Male | Married | 22 |
2 | Promotional | 1 | 112.4 | Proprietary Card | Female | Married | 26 |
3 | Regular | 1 | 32.5 | Proprietary Card | Female | Married | 22 |
4 | Promotional | 5 | 110.4 | Proprietary Card | Female | Married | 18 |
5 | Regular | 2 | 64 | MasterCard | Female | Married | 24 |
6 | Regular | 1 | 54.5 | MasterCard | Female | Married | 34 |
7 | Promotional | 2 | 88 | Proprietary Card | Female | Married | 20 |
8 | Regular | 1 | 32.5 | Visa | Female | Married | 30 |
9 | Promotional | 2 | 66.52 | Proprietary Card | Female | Married | 36 |
10 | Regular | 1 | 54.5 | Proprietary Card | Female | Married | 26 |
11 | Regular | 1 | 39.5 | Proprietary Card | Female | Married | 38 |
12 | Promotional | 1 | 41.6 | Proprietary Card | Female | Married | 30 |
13 | Promotional | 9 | 170.4 | Visa | Female | Married | 30 |
14 | Promotional | 2 | 74.5 | Visa | Female | Married | 36 |
15 | Regular | 1 | 59.5 | Visa | Male | Single | 44 |
16 | Promotional | 2 | 81.4 | Proprietary Card | Male | Single | 26 |
17 | Promotional | 3 | 104 | Proprietary Card | Female | Single | 32 |
18 | Regular | 3 | 64.5 | Discover | Female | Married | 30 |
19 | Promotional | 2 | 48.5 | MasterCard | Female | Married | 22 |
20 | Promotional | 6 | 54.8 | Proprietary Card | Female | Married | 46 |
21 | Promotional | 1 | 41.6 | Proprietary Card | Female | Single | 18 |
22 | Promotional | 4 | 80.82 | Proprietary Card | Female | Married | 28 |
23 | Promotional | 7 | 276 | American Express | Female | Married | 40 |
24 | Regular | 2 | 84 | Proprietary Card | Female | Married | 32 |
25 | Promotional | 2 | 49.5 | Visa | Male | Married | 38 |
26 | Promotional | 1 | 40.02 | Proprietary Card | Female | Married | 50 |
27 | Regular | 1 | 54.5 | Proprietary Card | Female | Married | 44 |
28 | Promotional | 5 | 202.8 | Proprietary Card | Female | Single | 32 |
29 | Promotional | 3 | 81.2 | Proprietary Card | Female | Married | 22 |
30 | Promotional | 1 | 28 | Proprietary Card | Female | Married | 60 |
31 | Promotional | 2 | 73.2 | MasterCard | Female | Married | 18 |
32 | Regular | 1 | 85 | Proprietary Card | Female | Married | 42 |
33 | Promotional | 3 | 73.2 | Proprietary Card | Female | Married | 34 |
34 | Regular | 1 | 50 | Proprietary Card | Female | Married | 24 |
35 | Promotional | 5 | 115.5 | MasterCard | Female | Married | 46 |
36 | Regular | 1 | 39.5 | MasterCard | Male | Single | 26 |
37 | Regular | 2 | 112.5 | Visa | Female | Single | 32 |
38 | Promotional | 6 | 127.5 | Proprietary Card | Female | Married | 40 |
39 | Promotional | 5 | 23.23 | Proprietary Card | Female | Married | 34 |
40 | Regular | 2 | 62.5 | Proprietary Card | Female | Married | 48 |
41 | Promotional | 13 | 208.8 | Proprietary Card | Female | Married | 32 |
42 | Promotional | 4 | 29.5 | Visa | Female | Married | 36 |
43 | Regular | 2 | 133.5 | Proprietary Card | Female | Married | 38 |
44 | Promotional | 1 | 72.4 | Proprietary Card | Female | Married | 44 |
45 | Promotional | 2 | 33.8 | Proprietary Card | Female | Married | 28 |
46 | Promotional | 2 | 49.6 | Proprietary Card | Female | Married | 50 |
47 | Regular | 1 | 35 | MasterCard | Female | Married | 36 |
48 | Promotional | 3 | 73.64 | Proprietary Card | Female | Married | 20 |
49 | Promotional | 1 | 24.82 | Proprietary Card | Female | Married | 22 |
50 | Promotional | 9 | 155.2 | MasterCard | Female | Married | 36 |
51 | Promotional | 6 | 186.62 | Proprietary Card | Female | Married | 28 |
52 | Promotional | 5 | 128.8 | Proprietary Card | Male | Married | 58 |
53 | Regular | 1 | 68 | Discover | Female | Single | 68 |
54 | Regular | 2 | 84 | Visa | Female | Single | 84 |
55 | Regular | 2 | 59.5 | MasterCard | Female | Married | 22 |
56 | Promotional | 3 | 151.6 | Proprietary Card | Female | Married | 28 |
57 | Promotional | 6 | 133.1 | Proprietary Card | Female | Married | 44 |
58 | Promotional | 2 | 90.4 | Proprietary Card | Female | Married | 38 |
59 | Promotional | 4 | 75.2 | MasterCard | Female | Married | 36 |
60 | Promotional | 4 | 123 | Proprietary Card | Female | Single | 40 |
61 | Promotional | 1 | 118.8 | Proprietary Card | Female | Married | 36 |
62 | Promotional | 3 | 69.91 | Proprietary Card | Female | Single | 20 |
63 | Promotional | 5 | 63.6 | Proprietary Card | Female | Married | 44 |
64 | Promotional | 1 | 41.6 | Proprietary Card | Female | Single | 32 |
65 | Promotional | 2 | 59.5 | Proprietary Card | Female | Married | 38 |
66 | Promotional | 1 | 49.6 | Proprietary Card | Female | Married | 52 |
67 | Promotional | 2 | 69.5 | Proprietary Card | Female | Married | 24 |
68 | Promotional | 5 | 156.8 | Proprietary Card | Female | Married | 18 |
69 | Promotional | 2 | 57.2 | Proprietary Card | Male | Married | 36 |
70 | Promotional | 8 | 105.05 | Proprietary Card | Female | Married | 44 |
71 | Promotional | 5 | 165.32 | Proprietary Card | Female | Married | 20 |
72 | Promotional | 4 | 68 | MasterCard | Female | Married | 22 |
73 | Regular | 1 | 79 | Proprietary Card | Female | Single | 54 |
74 | Promotional | 2 | 56.5 | Proprietary Card | Female | Married | 22 |
75 | Promotional | 2 | 55.22 | Proprietary Card | Female | Married | 64 |
76 | Promotional | 4 | 94.74 | Proprietary Card | Female | Married | 52 |
77 | Regular | 2 | 49 | Proprietary Card | Female | Married | 32 |
78 | Promotional | 4 | 121.14 | Proprietary Card | Female | Married | 18 |
79 | Promotional | 3 | 96.8 | Proprietary Card | Female | Married | 28 |
80 | Regular | 2 | 99 | Discover | Female | Married | 44 |
81 | Promotional | 2 | 88 | MasterCard | Female | Married | 58 |
82 | Promotional | 6 | 63.2 | Proprietary Card | Female | Single | 20 |
83 | Promotional | 4 | 68.5 | Visa | Female | Married | 26 |
84 | Promotional | 3 | 56 | Proprietary Card | Female | Married | 34 |
85 | Regular | 2 | 47.5 | Visa | Female | Married | 34 |
86 | Promotional | 1 | 30.8 | Proprietary Card | Female | Married | 52 |
87 | Regular | 6 | 154 | MasterCard | Female | Single | 38 |
88 | Regular | 4 | 117 | Proprietary Card | Female | Married | 26 |
89 | Promotional | 1 | 41.6 | Proprietary Card | Female | Single | 50 |
90 | Promotional | 6 | 67.6 | Proprietary Card | Female | Married | 32 |
91 | Promotional | 4 | 105.2 | Proprietary Card | Female | Married | 44 |
92 | Promotional | 1 | 32.42 | Proprietary Card | Female | Married | 44 |
93 | Regular | 5 | 169.75 | Proprietary Card | Female | Married | 62 |
94 | Promotional | 17 | 239.5 | Proprietary Card | Female | Married | 20 |
95 | Regular | 3 | 76 | American Express | Female | Married | 36 |
96 | Regular | 1 | 49.5 | MasterCard | Female | Married | 34 |
97 | Promotional | 9 | 263 | Proprietary Card | Female | Married | 20 |
98 | Promotional | 10 | 297.59 | Proprietary Card | Female | Married | 42 |
99 | Promotional | 2 | 57.6 | Proprietary Card | Female | Married | 20 |
100 | Promotional | 1 | 38.44 | Proprietary Card | Female | Married | 34 |
a) Using the empirical rule, 95% of female promotional customer ages should be between what two values? Either show work or explain how your answer was calculated.
b)Using the empirical rule, 68% of items purchased should be between what two values? Either show work or explain how your answer was calculated.
In: Math
36 |
16 |
61 |
97 |
27 |
37 |
64 |
59 |
91 |
81 |
86 |
39 |
56 |
85 |
26 |
36 |
51 |
18 |
68 |
69 |
78 |
61 |
49 |
29 |
82 |
In: Math
Consider the following experiment: we roll a fair die twice. The two rolls are independent events. Let’s call M the number of dots in the first roll and N the number of dots in the second roll.
(a) What is the probability that both M and N are even?
(b) What is the probability that M + N is even?
(c) What is the probability that M + N = 5?
(d) We know that M + N = 5. What is the probability that M is an odd number?
(e) We know that M is an odd number. What is the probability that M + N = 5?
In: Math
A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows:
Office | 1 | 1 | 2 | 2 | 3 | 3 |
Employee | 1 | 2 | 3 | 4 | 5 | 6 |
Salary | 24.7 | 28.6 | 25.2 | 28.6 | 20.8 | 24.7 |
(a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary X. (Enter your answers for p(x) as fractions.)
x | 22.75 | 24.70 | 24.95 | 26.65 | 28.60 | ||||||
p(x) |
|
|
(b) Suppose one of the three offices is randomly selected. Let
X1 and X2 denote the
salaries of the two employees. Determine the sampling distribution
of X. (Enter your answers as fractions.)
x | 22.75 | 26.65 | 26.90 |
p(x) |
(c) How does E(X) from parts (a) and (b)
compare to the population mean salary μ?
E(X) from part (a) is _______ μ, and E(X) from part (b) is _______ μ.
In: Math
The following table shows the length of stay distribution for guests staying at a beach resort, in days. The resort management makes a net profit of $250 per day per guest during the first 2 days of the stay, and $150 per day per guest after the first 2 days. How much profit will the resort owners make in a month (assuming 30 days in a month) if there are 100 guests arriving per day? [Hint: Note that a guest who only stays for two days is billed $500; find the average profit for one guest then work out for the entire month.]
Must be completed in Excel
Days | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Prob (%) | 5 | 10 | 12 | 12 | 11 | 15 | 14 | 12 | 9 |
In: Math
Fill in the blank. In a drive thru performance study, the average service time for McDonald's is 203.21 seconds with a standard deviation of 5.67 seconds. A random sample of 90 times is taken. There is a 51% chance that the average drive-thru service time is less than ________ seconds.
1) |
203.22 |
2) |
There is not enough information to determine this. |
3) |
203.2 |
4) |
203.07 |
5) |
203.35 |
In: Math
Men at a construction site were moving concrete blocks from a truck, a short distance to the base of a house. The first day the average man moved 62 blocks per hour.
The current day the numbers were : 70,63,76,86,86,62,97,70,77,81
1. Assume all assumptions are met. Provide descriptive statistics for the sample.
2. Conduct a statistical test to assess if the men were able to move more than 62 blocks per hour.
3. The men had more rest than they did the first day and were certain they could move atleast 5 more blocks per hour. Conduct a statistical test to see if they were able to, on average, move 5 more plants per hour than the previous mark of 62
In: Math
A. Here is a bivariate data set.
x | y |
---|---|
25.7 | 52.5 |
29.4 | 64.7 |
21.8 | 54.9 |
35 | 63.4 |
31.4 | 74.7 |
21.6 | 46.5 |
40.8 | 69.7 |
37.9 | 77.7 |
16.7 | 41.1 |
29.6 | 78.1 |
13.1 | 45.5 |
36.1 | 78.4 |
32.1 | 68.2 |
45.2 | 76.8 |
36.1 | 57.9 |
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
B. Based on the data shown below, calculate the correlation coefficient (to three decimal places)
x | y |
---|---|
1 | 4.97 |
2 | 4.04 |
3 | 3.51 |
4 | 3.78 |
5 | 5.15 |
6 | 7.22 |
7 | 6.69 |
8 | 5.76 |
9 | 6.73 |
10 | 6.6 |
11 | 9.77 |
12 | 8.24 |
13 | 6.91 |
In: Math
In: Math
A claim with an alpha =0.10 and a mu of 20. A sample size of 30 yields a sample mean of 17.5 and a sample standard deviation of 10. What is the upper confidence limit with 3 decimal places?
In: Math