If we conduct a matched pairs experiment using small samples, what assumptions are needed for the small-sample confidence interval for the mean difference to be valid?
Answer)
Assumptions for matched pair experiment are
1)
The variable which is dependent should.be continuous (interval or ratio)
2)
The observations should be independent of each other
3)
The dependent variable must not have any outlier
4)
The sample should.be from normally distributed population.
If we conduct a matched pairs experiment using small samples, what assumptions are needed for the...
The accompanying table contains two samples that were collected as matched pairs. Complete parts a and b below. Click the icon to view the data table. a) Let the parameter of interest be the population mean of matched-pair differences for Sample 1 minus Sample 2. The 90% confidence interval to estimate difference in means between the populations from which Sample 1 and 2 were drawn has a lower limit and an upper limit 0 (Round to two decimal places as...
i need this quick please Matched Pairs 046e A study was conducted to measure the effectiveness of hypnotism in reducing pain. The m centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a46 95% confidence Interval for the mean of the â"before-ae-after differences. Does hypnotism appear to be effective in reducingå 92 9.3 8.6 Before After 4.0 2.5...
The accompanying table contains two samples that were collected as matched pairs. Complete parts a and b below. Click the icon to view the data table. 5 Click the icon to view a portion of the Student's t-Distribution table. a) Construct a 95% confidence interval to estimate difference in means between the populations from which Sample 1 and 2 were drawn. i Data Table - X UCLa = 0 LCLa = 0 (Round to two decimal places as needed.) Pair...
IDENTIFYING THE METHOD OF ANALYSIS In Evercises Ci to C8,identify the method of analysis needed to answer the question. Indicate whether we should conduct a hypothesis test or find a confidence interval and also indicate whether the analysis will be done on a proportion, a mean, a difference in proportions, a difference in means, or a matched pairs difference in means. C.2 Use results collected at a supermarket to see whether there is a difference in the average amount of...
Using techniques from Section 8.2, we can find a confidence interval for μd. Consider a random sample of n matched data pairs A, B. Let d = B − A be a random variable representing the difference between the values in a matched data pair. Compute the sample mean d of the differences and the sample standard deviation sd. If d has a normal distribution or is mound-shaped, or if n ≥ 30, then a confidence interval for μd is...
Construct a 99% confidence interval to estimate the population mean using the following data. What assumptions need to be made to construct this interval? x=88 20 n 11 What assumptions need to be made to construct this interval? Tre O A. The population mean will be in the confidence interval. en OB. The sample size is less than 30. et c . The population must be normally distributed. D. The population is skewed to one side. With 99% confidence, when...
Of 565 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared to standard gene fragments that can identify the species, 51% were mislabeled. a) Construct a 99% confidence interval for the proportion of all seafood sold in the country that is mislabeled or mislabeled or misidentified. b) Explain what your confidence interval says about seafood sold in the country. c) A government spokesperson claimed that the sample size was too...
A paired difference experiment produced the following data: nD = 18 x1 = 92 x2 = 95.5 xD = -3.5 sD2 = 21 Determine the values of t for which the null hypothesis, µ1 - µ2 = 0, would be rejected in favor of the alternative hypotheses, µ1 - µ2 < 0. Use α = .10. Conduct the paired difference test described in part a. Draw the appropriate conclusions. What assumptions are necessary so that the paired difference test...
The accompanying table shows two samples that were collected as matched pairs Pair Sample 1 Sample 2 1 10 5 2 6 1 3 4 8 4 9 4 5 7 3 6 6 10 7 7 1 8 9 4 Calculate the appropriate test statistic and interpret the results of the hypothesis test using ?=0.01. The test statistic is Identify the? p-value and interpret the result.
Data we Consider the following hypothesis test. (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 Population 2.) Population Element 1 2 Difference 21 20 1 2 28 26 2 15 3 19 1 3 18 4 20 5 26 23 (b) Compute d 2 (c) Compute the standard deviation sd. 7 (d) Conduct a hypothesis test using α Calculate the test statistic. (Round your answer to...