A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 39 participants in the treatment group lowered their cholesterol levels by a mean of 19.8 points with a standard deviation of 2.1 points. The 46 participants in the control group lowered their cholesterol levels by a mean of 18.4 points with a standard deviation of 2.8 points. Assume that the population variances are not equal and test the company’s claim at the 0.05 level. Let the treatment group be Population 1 and let the control group be Population 2.   Step 1 of 3 :   State the null and alternative hypotheses for the test. Fill in the blank below. what sign goes there H0:μ1=μ2 Ha:  μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2   Step 2 of 3:   Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places. Step 3 of 3 : Draw a conclusion and interpret the decision. reject or fail to reject. Is there enough evidence

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 39 participants in the treatment group lowered their cholesterol levels by a mean of 19.8 points with a standard deviation of 2.1 points. The 46 participants in the control group lowered their cholesterol levels by a mean of 18.4 points with a standard deviation of 2.8 points. Assume that the population variances are not equal and test the company’s claim at the 0.05 level. Let the treatment group be Population 1 and let the control group be Population 2.
 
Step 1 of 3 :  
State the null and alternative hypotheses for the test. Fill in the blank below. what sign goes there

H0:μ1=μ2
Ha:  μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2
 
Step 2 of 3:
  Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.
Step 3 of 3 : Draw a conclusion and interpret the decision. reject or fail to reject. Is there enough evidence
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