Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average of normal-to-normal beat interval (in milliseconds) for a 24-hour time period. Twenty-two heart attack patients who were dog owners and 50 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table.
Measure of HRV (average normal-to-normal beat interval) |
Mean | Standard Deviation |
|
Owns Dog | 875 | 137 |
Does Not Own Dog | 803 | 134 |
The authors of this paper used a two-sample t test to
test H0: μ1 - μ2
= 0 versus Ha: μ1 -
μ2 ≠ 0.
(a) What assumptions must be made in order for this to be an
appropriate method of analysis?
We must assume that the population of ---Select--- dog
owners non dog owners is ---Select--- is is not
approximately normal and we must also assume that the samples
are ---Select--- not independent independent of each
other.
(b) The paper indicates that the null hypothesis was rejected and
reports that the P-value is less than 0.05. Carry out the
two-sample t test. What is your p-value rounded to 3
decimal places?
(c) Is your conclusion consistent with that of the paper?
YesNo
Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart...
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the right. Complete parts a through e below. Sample 1 overbar x = 5,305 s1= 154 Sample 2 overbar x = 5,266 s2 = 199 a. Use a 95% confidence interval to estimate the difference between the population means (mu 1 - mu 2). Interpret the confidence interval. The confidence interval is...
2. Comparing two population means (known sigmas) Aa Aa Consider a pool of home mortgages. Prepayments of mortgages in the pool affect the mortgages' cash flow, so mortgage lenders, servicers, and investors all have an interest in predicting mortgage prepayments. Mortgages may be prepaid for a variety of purposes, including selling the home, taking cash out of the property to fund home improvements or other consumer expenditures, or refinancing the mortgage to change the monthly payment schedule. Narrow your focus...
They are all about one question, total 11 blanks reminder. 2. Comparing two population means (independent samples, sigmas known) Consider a podl of home mortgages. Prepayments of mortgages in the pool affect the mortgages' cash flow, so mortgage lenders, servicers, and investors all have an interest in predicting mortgage prepayments. Mortgages may be prepaid for a variety of purposes, including selling the home, taking cash out of the property to fund home improvements or other consuner expenditures, or refinancing the...
photos for each question are all in a row (1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
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