A large advertising firm specializes in creating television commercials for children’s products. The firm wants to design a study to investigate factors that may affect the lengths of time a commercial is able to hold a child’s attention. A preliminary study determines that two factors that may be important are the age of the child and the type of product being advertised. The firm wants to determine whether there were large differences in the mean length of time that the commercial is able to hold the child’s attention depending on these two factors. If there proves to be a difference, the firm would then attempt to determine new types of commercials depending on the product and targeted age group. Three age groups are used: A1: 5-6 years, A2: 7-8 years, and A3: 9-10 years. The types of products selected are P1: Breakfast cereals and P2: Video games. The data are below:
A1 |
A2 |
A3 |
|
P1 |
19 |
19 |
37 |
36 |
35 |
6 |
|
40 |
22 |
28 |
|
30 |
28 |
4 |
|
4 |
1 |
32 |
|
10 |
27 |
16 |
|
30 |
27 |
8 |
|
5 |
16 |
41 |
|
24 |
3 |
29 |
|
21 |
18 |
18 |
|
P2 |
39 |
30 |
51 |
18 |
47 |
52 |
|
32 |
6 |
43 |
|
22 |
27 |
48 |
|
16 |
44 |
39 |
|
2 |
26 |
33 |
|
36 |
33 |
56 |
|
43 |
48 |
43 |
|
7 |
23 |
40 |
|
16 |
21 |
51a. |
a. Create a two-way ANOVA table in Excel.
b. Summarize your findings.
In: Math
Based on interviews with 94 SARS patients, researchers found that the mean incubation period was 4.6 days, with a standard deviation of 15.4 days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.
In: Math
This data talks about a solution of a chemical after sitting for a certain amount of time and provides the time it was left sitting.
Concentration of a chemical solution (y) | Time after solution was made (x) |
0.07 | 9 |
0.09 | 9 |
0.08 | 9 |
0.16 | 7 |
0.17 | 7 |
0.21 | 7 |
0.49 | 5 |
0.58 | 5 |
0.53 | 5 |
1.22 | 3 |
1.15 | 3 |
1.07 | 3 |
2.84 | 1 |
2.57 | 1 |
3.1 | 1 |
In: Math
Jody is interested in the population mean of pets per household in her neighborhood. She hypothesized that the average amount of pets per household will be less than 3.
To test the hypothesis, she used the following data.
0 1 3 2 1 3
1 0 4 1 0 5
1 2 0 1 2 1
Jody's hypotheses are
H0 : µ≥3
HA : µ<3
Please calculate 1) null and alternative hypothesis 2) alpha value 3) p-value 4) conclusion
In: Math
For each question in this assignment, you should upload your output and your explanations to Canvas. There are 3 questions in this assignment.
The following data are GPAs for a sample of participants (N = 12) at a large university.
2.50 3.33 4.00 2.00 2.75 3.00
3.40 2.75 3.60 1.70 2.80 2.90
The following are the ages of students in a section of Introductory Psychology.
21 18 21 21 20 24 21 18 45 22
24 19 22 25 22 22 25 23 25 21
The following data are reported romantic relationship statuses for a sample of participants (N = 15).
Single Single Married Engaged Single
Divorced Engaged Married Single Engaged
Married Divorced Married Single Engaged
In: Math
Q: Calculate the mean, standard deviation, and 95% confidence limits for each set.
A |
B |
C |
D |
E |
F |
3.5 |
70.24 |
.812 |
2.7 |
70.65 |
.514 |
3.1 |
70.22 |
.792 |
3.0 |
70.63 |
.503 |
3.1 |
70.10 |
.794 |
2.6 |
70.64 |
.486 |
3.3 |
.900 |
2.8 |
70.21 |
.497 |
|
2.5 |
3.2 |
.472 |
Q2: A type of steel contains 1.12% nickel and the standard deviation is 0.03%. The following data are collected (in percent)
a) 1.10 b) 1.08 c) 1.09 d) 1.12 e) 1.09
Is there an indication of bias in the method at the 95% level?
In: Math
Why are measures of relative standing (e.g.. percentiles,
percentile ranks, and standard scores) important?
In: Math
The following data were drawn from a normal population. Find a 98.4% confidence interval for the mean.
7 21 20 8 14 12 18 14 9 23
In: Math
Many years ago, Detroit had a six-month newspaper strike that closed down all its newspapers. During the strike, Detroit’s suicide rate fell very sharply (that is, there were far fewer suicides), but returned to its usual rate when the papers resumed publishing. Do the following: (a) Make up a theoretical model that would account for this observation and (b) generate a total of two interesting hypotheses from the model that could potentially be tested.
In: Math
Using traditional methods it takes 105.0 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 290 students and observed that they had a mean of 106.0 hours. Assume the standard deviation is known to be 7.0 . Is there evidence at the 0.02 level that the technique performs differently than the traditional method? Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
In: Math
Find the value of z such that 0.9108 of the area lies between −z − z and z. Round your answer to two decimal places.
In: Math
An automobile manufacturer claims that its cars
average more than 410 miles per tankful (mpt).
As evidence, they cite an experiment in which 17 cars were driven
for one tankful each and
averaged 420 mpt. Assume σ = 14 is known.
a. Is the claim valid? Test at the 5 percent level of
significance.
b. How high could they have claimed the mpt to be? That is, based
on this experiment, what is the maximum value for µ which would
have been rejected as an hypothesized value?
c. What is the power of the test in part (a) when the true value of
µ is 420 mpt? (Hint: Your rejection region for part (a) was stated
in terms of comparing Zobs with a cut-off point on the Z
distribution. Find the corresponding x̅cut-off and restate your
rejection region in
terms of comparing the observed x̅value with the
x̅cut-off. Then assume H1 is true (i.e. µ
= 420 mpt) and find the probability that x̅is in the rejection
region.)
In: Math
Data: 7,-5, -8, 7, 9, 15, 0, 2, 13, 8, 6, -2, 4 (a) Mean= Mode= median= (b) Variance= Standard deviation= (c) Range= IQR(Interquartilerange)= (d) Mid-Range= Mid-Hinge=
In: Math
1. A researcher has obtained the number of hours worked per week during the semester for a sample of 10 students:
21, 33, 26, 16, 32, 20, 29, 20, 19, 20
Use the data set to compute the mean, the median, the mode, the range, the sample variance, the sample standard deviation, the 10th percentile, The sum of the squared deviations of each value of X from the mean. Briefly explain what information about the variable is provided by your answers for the mean, median, mode, and standard deviation.
In: Math
Scroll the bottom arrows to see the whole table. if I make it any smaller you will not be able to see the numbers clearly: Is there a relationship between the relative-change* in weight and the relative-change* in Cholesterol level from screening to follow up for patients taking Drug A?
* Relative Change = (Follow up - Initial) / Initial
Patient ID | Drug | Stomach Pain | Sex | Age | Height | Systolic BP | Diastolic BP | Exercise | Coffee Consumption | Alcohol Consumption | Weight | Weight3 | Cholesterol | Cholesterol3 | Triglycerides | Triglycerides3 | HDL | HDL3 | LDL | LDL3 |
1 | B | Yes | F | 22 | 67.13 | 124 | 78 | 180 | 1 | > 2 | 138 | 145 | 197 | 182 | 152 | 135 | 43 | 34 | 151.6 | 145.8 |
2 | B | Yes | M | 22 | 63 | 122 | 70 | 0 | 2 | < 2 | 115 | 122 | 181 | 151 | 59 | 57 | 60 | 48 | 120.1 | 102.1 |
3 | B | No | F | 22 | 72 | 124 | 80 | 90 | 0 | < 2 | 190 | 190 | 190 | 169 | 117 | 86 | 41 | 37 | 147.1 | 130.6 |
4 | A | Yes | M | 22 | 69 | 120 | 70 | 120 | 5 | > 2 | 115 | 105 | 131 | 133 | 54 | 72 | 58 | 67 | 72.1 | 64.8 |
5 | B | Yes | M | 25 | 73 | 138 | 92 | 40 | 2 | > 2 | 160 | 165 | 172 | 166 | 93 | 139 | 49 | 40 | 121.5 | 123.8 |
6 | B | Yes | M | 22 | 67.5 | 100 | 72 | 0 | 0 | < 2 | 150 | 165 | 233 | 229 | 176 | 144 | 42 | 38 | 188.2 | 188.7 |
7 | A | Yes | M | 23 | 73 | 128 | 78 | 0 | 2 | < 2 | 154 | 150 | 194 | 148 | 79 | 80 | 49 | 26 | 143.7 | 120.7 |
8 | A | No | M | 24 | 71.5 | 128 | 74 | 90 | 0 | < 2 | 185 | 187 | 155 | 148 | 89 | 73 | 45 | 50 | 108.6 | 96.8 |
9 | A | Yes | F | 23 | 73.5 | 124 | 82 | 60 | 1 | > 2 | 178 | 166 | 234 | 175 | 307 | 88 | 28 | 28 | 201.1 | 145.6 |
10 | A | Yes | M | 22 | 72.25 | 130 | 88 | 40 | 0 | 0 | 158 | 163 | 201 | 203 | 88 | 112 | 50 | 40 | 149.6 | 161.2 |
11 | A | No | M | 26 | 73 | 130 | 86 | 0 | 1 | < 2 | 188 | 195 | 258 | 276 | 299 | 199 | 30 | 21 | 223.2 | 251.8 |
12 | A | No | M | 22 | 64.25 | 120 | 74 | 0 | 0 | > 2 | 150 | 150 | 212 | 228 | 52 | 61 | 69 | 60 | 142.2 | 167 |
13 | B | Yes | M | 22 | 64.25 | 120 | 74 | 0 | 4 | 0 | 123 | 131 | 137 | 165 | 158 | 147 | 29 | 39 | 105.5 | 123.6 |
14 | B | No | F | 27 | 65 | 100 | 68 | 180 | 2 | > 2 | 138 | 133 | 285 | 229 | 98 | 89 | 69 | 61 | 214.4 | 166.6 |
15 | A | No | M | 22 | 59 | 124 | 84 | 180 | 0 | > 2 | 143 | 140 | 218 | 172 | 101 | 96 | 46 | 21 | 170.4 | 149.5 |
16 | B | Yes | F | 24 | 67.5 | 122 | 68 | 210 | 1 | < 2 | 139 | 151 | 167 | 152 | 71 | 91 | 51 | 37 | 114.9 | 113.5 |
17 | A | Yes | F | 22 | 71.5 | 118 | 70 | 60 | 0 | < 2 | 156 | 155 | 170 | 158 | 81 | 91 | 42 | 40 | 126.7 | 116.5 |
18 | A | Yes | M | 22 | 69 | 125 | 76 | 180 | 0 | < 2 | 150 | 154 | 157 | 140 | 86 | 88 | 37 | 34 | 118.6 | 104.6 |
19 | A | Yes | M | 24 | 68 | 122 | 74 | 100 | 5 | > 2 | 135 | 128 | 215 | 176 | 71 | 53 | 62 | 46 | 151.9 | 129.2 |
20 | A | No | M | 25 | 74 | 134 | 88 | 180 | 0 | < 2 | 219 | 220 | 194 | 207 | 71 | 130 | 40 | 33 | 152.9 | 171.9 |
21 | A | No | F | 28 | 71 | 110 | 80 | 60 | 2 | > 2 | 173 | 173 | 207 | 231 | 107 | 145 | 53 | 47 | 152.3 | 181.7 |
22 | A | Yes | M | 22 | 68.5 | 116 | 84 | 280 | 0 | 0 | 151 | 165 | 198 | 199 | 80 | 126 | 44 | 46 | 152.7 | 151 |
23 | A | Yes | M | 23 | 75.5 | 124 | 73 | 60 | 1 | 0 | 182 | 183 | 189 | 262 | 47 | 230 | 50 | 31 | 138.2 | 227.3 |
24 | A | Yes | M | 24 | 70 | 124 | 72 | 360 | 0 | < 2 | 161 | 163 | 216 | 203 | 95 | 121 | 35 | 28 | 179.5 | 173.1 |
25 | B | Yes | F | 22 | 72 | 126 | 88 | 120 | 0 | 0 | 176 | 173 | 212 | 173 | 140 | 88 | 43 | 35 | 166.8 | 136.6 |
26 | B | Yes | F | 26 | 72.5 | 138 | 82 | 0 | 0 | < 2 | 177 | 175 | 175 | 169 | 77 | 78 | 46 | 52 | 127.8 | 115.8 |
27 | B | Yes | F | 23 | 72 | 120 | 68 | 60 | 1 | < 2 | 174 | 197 | 158 | 172 | 57 | 126 | 34 | 30 | 123.1 | 140 |
28 | B | No | F | 20 | 74 | 118 | 76 | 0 | 2 | 0 | 234 | 217 | 115 | 146 | 95 | 110 | 26 | 33 | 87.5 | 111.2 |
29 | B | No | F | 28 | 66 | 138 | 82 | 120 | 0 | 0 | 150 | 160 | 228 | 224 | 480 | 373 | 29 | 28 | 191.3 | 190 |
30 | A | Yes | F | 23 | 74 | 124 | 76 | 60 | 0 | < 2 | 149 | 150 | 164 | 164 | 94 | 92 | 43 | 44 | 119.5 | 118.5 |
31 | B | Yes | M | 22 | 70 | 118 | 72 | 0 | 0 | < 2 | 156 | 160 | 149 | 149 | 155 | 65 | 37 | 29 | 109.5 | 119 |
32 | A | Yes | F | 23 | 71.5 | 124 | 70 | 180 | 3 | < 2 | 168 | 170 | 211 | 183 | 63 | 60 | 52 | 44 | 158 | 138 |
33 | B | Yes | F | 22 | 73 | 122 | 76 | 0 | 0 | < 2 | 182 | 170 | 191 | 185 | 99 | 101 | 39 | 39 | 150.4 | 144.4 |
34 | B | No | F | 40 | 75 | 128 | 80 | 0 | 5 | > 2 | 217 | 230 | 277 | 243 | 240 | 218 | 71 | 28 | 202.2 | 211.5 |
35 | B | No | M | 22 | 65 | 128 | 82 | 120 | 1 | < 2 | 190 | 201 | 178 | 191 | 52 | 77 | 41 | 56 | 136.2 | 133.8 |
36 | A | Yes | F | 25 | 69 | 124 | 78 | 150 | 5 | < 2 | 159 | 154 | 157 | 112 | 93 | 71 | 41 | 38 | 114.5 | 72.9 |
37 | A | No | M | 22 | 73 | 126 | 73 | 180 | 0 | 0 | 191 | 199 | 151 | 155 | 44 | 94 | 42 | 44 | 108.3 | 109.5 |
38 | A | No | M | 24 | 59.5 | 122 | 72 | 100 | 0 | 0 | 140 | 140 | 209 | 165 | 71 | 71 | 41 | 42 | 166.9 | 121.9 |
39 | B | No | F | 23 | 71 | 116 | 72 | 120 | 0 | 0 | 183 | 186 | 209 | 147 | 95 | 124 | 37 | 29 | 170.5 | 116 |
40 | B | Yes | F | 26 | 71 | 132 | 78 | 90 | 0 | 0 | 162 | 167 | 197 | 216 | 47 | 64 | 43 | 43 | 153.2 | 172 |
41 | B | No | M | 29 | 69.5 | 130 | 82 | 0 | 3 | < 2 | 181 | 169 | 226 | 208 | 126 | 86 | 38 | 36 | 186 | 170.6 |
42 | B | No | F | 30 | 70 | 112 | 72 | 0 | 5 | < 2 | 196 | 199 | 127 | 139 | 116 | 69 | 32 | 31 | 93.1 | 106.9 |
43 | A | No | M | 25 | 65.5 | 120 | 72 | 180 | 2 | > 2 | 141 | 143 | 180 | 162 | 85 | 93 | 41 | 46 | 137.6 | 114.5 |
44 | B | No | F | 25 | 74 | 117 | 77 | 0 | 2 | 0 | 230 | 217 | 117 | 146 | 95 | 110 | 25 | 33 | 87.5 | 111.2 |
45 | A | Yes | M | 24 | 70 | 122 | 76 | 100 | 5 | > 2 | 135 | 128 | 215 | 177 | 71 | 53 | 62 | 46 | 151.9 | 129.2 |
In: Math