4. The amount of contaminants in two independent samples (comprised of independent subjects) from two distinct bird species is measured in a veterinary hospital. The summary of the data is presented below. Data from Pop. 1 Data from Pop. 2 n1=13 71=1.12 $1=0.52 nュ=15 チュ=1.49 S2=0.70 We are interesting in testing Ho: H-2=0, versus H.: -P20. And we will make the normality assumption. (a) Suppose that we know the population variances: of = 0.1, o% = 0.2. Design the test and find its pvalue. What conclusion do you reach at significance level 5%? (b) Suppose that the researchers do not trust these population vari- ance values, and would like to do the test based on the sample variances provided above. Assuming equal variance, how would your conclusions changed?

4. The amount of contaminants in two independent samples (comprised of independent subjects) from two distinct bird species is measured in a veterinary hospital. The summary of the data is presented below. Data from Pop. 1 Data from Pop. 2 n1=13 71=1.12 $1=0.52 nュ=15 チュ=1.49 S2=0.70 We are interesting in testing Ho: H-2=0, versus H.: -P20. And we will make the normality assumption. (a) Suppose that we know the population variances: of = 0.1, o% = 0.2. Design the test and find its pvalue. What conclusion do you reach at significance level 5%? (b) Suppose that the researchers do not trust these population vari- ance values, and would like to do the test based on the sample variances provided above. Assuming equal variance, how would your conclusions changed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of µ = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the calculation (step 4) for this problem? Z = -2.34 z = 2.34 z = 2.24 z = -2.24
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