We would like to estimate the difference μA−μBμA−μB in the true mean pH levels in two lakes. Samples of water specimens are collected from each lake and the pH level of each specimen is measured. Some summary statistics are shown below:
Sample Size | Mean | Standard Deviation | |
Lake A | 5 | 7.4 | 0.12 |
Lake B | 4 | 7.1 | 0.28 |
Assume that pH levels are known to follow normal distributions for both lakes. The margin of error for a 95% confidence interval for μA−μBμA−μB is:
We would like to estimate the difference μA−μBμA−μB in the true mean pH levels in two...
We would like to conduct a hypothesis test at the 2% level of significance to determine whether the true mean pH level in a lake differs from 7.0. Lake pH levels are known to follow a normal distribution. We take 10 water samples from random locations in the lake. For these samples, the mean pH level is 7.3 and the standard deviation is 0.37. Using the critical value approach, the decision rule would be to reject H0 if the test...
B. Develop a 90%,95%,98%,99% confidence interval estimate of
the true mean difference between the two lines.
A pet food producer fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 18 bags from line 1 and a random sample of 23 bags from line 2 were recently selected. Each bag's weight was measured and...
t est to gather oation. The outut of this What is the p-value of this test? What is the conclusion? (3 credins) Assume that the distribution of the pH Sevel is normal with ox1.20. Test 7 uing a twotaled test (significance level 001). (4 creds) n.:μ " 7 verm / μ c) Assume that the distribution of the pH level is normal with σ120. Test p7 versus H:p <7 using a one-tailed test (significance level 0.01). (3 credits) As in...
2. (25pts) Two different brands of latex (water-based) paint are being considered for use in a large construction project. To choose between the brands, one of the key factors is the time it takes the paint to dry. Engineers sampled 22 specimens of each brand and measured the drying times (in hours) of each specimen. The data collected are given in Table 1 below Specimen Brand A Brand B Specin Brand A Brand B 3.5 2.7 3.9 4.2 4.6 2.7...
look at each test on pic above and answer the question below:
Interpret the result in APA stat
(1a) Is there a statistically significant difference in
academic performance in 2000 according to the socioeconomic
standing of the school as measured by the percentage of students
that receive free meals? Explain.
one-way anova
(1b) Is there a statistically significant difference in
academic performance in 1999 between year-round and non-year-round
schools? How do you know? Explain?
Independent t test
(1c) Determine if...
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
income. The Regression Sum of Squares (SSR) was 360 and...
1. We reject the null hypothesis only when: a. our sample mean is larger than the population mean. b. the p value associated with our test statistic is greater than the significance level of the test we have chosen. c. our sample mean is smaller than the population mean. d. the p value associated with our test statistic is smaller than the significance level of the test we have chosen. 2. In a study of simulated juror decision making, researchers...
Question 1 (50 pts): Suppose that a client of yours measure the heights (in inches) of n - 30 wheats grown at locations of various elevations (measured as meters above sea levels). Af- ter some discussion, you decided to fit a linear regression of wheat heights (denoted as yi) on the elevations of the locations (denoted as zi) as follows where ei, E2, . . . , En are i.i.d. errors with Elei] 0 and var(G) σ2. You calculated some...