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For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 1 mg is acceptable. A sample of 26 capsules was taken and the weights are provided below: 120.2 120.4 119 121.6 118.2 118.7 118.1 122.2 119.4 120.2 121.4 120.4 118.3 120.8 121.5 121.3 119.9 119.7 119.8 120.1 120.9 120.6 120.6 119.1 119.8 119.3 (Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.) At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 mg. Procedure: Select an answer Assumptions: (select everything that applies) O Sample size is greater than 30 O Simple random sample O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? v is the Select an answer Ho: Select an answer v and the units are H.: ISelect an answer and the test is Select an answer Step 2. The significance level a =

For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 1 mg is acceptable. A sample of 26 capsules was taken and the weights are provided below: 120.2 120.4 119 121.6 118.2 118.7 118.1 122.2 119.4 120.2 121.4 120.4 118.3 120.8 121.5 121.3 119.9 119.7 119.8 120.1 120.9 120.6 120.6 119.1 119.8 119.3 (Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.) At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 mg. Procedure: Select an answer Assumptions: (select everything that applies) O Sample size is greater than 30 O Simple random sample O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? v is the Select an answer Ho: Select an answer v and the units are H.: ISelect an answer and the test is Select an answer Step 2. The significance level a =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 1 mg is acceptable. A sample of 26 capsules was taken and the weights are provided below: 122.2 120.2| 119.4 120.8 119 121.5 120.6 119.8 118.2 118.1 |118.7 121.3 119.8 |119.9 120.1 119.7 120.9 118.3 120.2 120.4 121.4 120.4 121.6 120.6 119.1 | 119.3 (Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.) At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 mg. Procedure: Select an answer Assumptions: (select everything that applies) O Sample size is greater than 30 O Simple random sample O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? V is the Select an answer Ho: Select an answer V = vand the units are ? H: Select an answer v?v and the test is Select an answer V Step 2. The significance level a = Step 3. Compute the value of the test statistic: Select an answer v = (Round the answer to 3
Transcribed Image Text:For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 1 mg is acceptable. A sample of 26 capsules was taken and the weights are provided below: 122.2 120.2| 119.4 120.8 119 121.5 120.6 119.8 118.2 118.1 |118.7 121.3 119.8 |119.9 120.1 119.7 120.9 118.3 120.2 120.4 121.4 120.4 121.6 120.6 119.1 | 119.3 (Note: The average and the standard deviation of the data are respectively 120.1 mg and 1.1 mg.) At 5% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 mg. Procedure: Select an answer Assumptions: (select everything that applies) O Sample size is greater than 30 O Simple random sample O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? V is the Select an answer Ho: Select an answer V = vand the units are ? H: Select an answer v?v and the test is Select an answer V Step 2. The significance level a = Step 3. Compute the value of the test statistic: Select an answer v = (Round the answer to 3
O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? v is the Hn: Select an answer V = Select an answer v and the units are H: Select an answer v? v ,and the test is Select an answer v Step 2. The significance level a = Step 3. Compute the value of the test statistic: Select an answer v (Round the answer to 3 decimal places) Step 4. Testing Procedure: (Round the answers to 3 decimal places) CVA PVA Compute the P-value of the test statistic: Provide the critical value(s) for the Rejection Region: left CV is and right CV is P-value is Step 5. Decision: CVA PVA Is the test statistic in the rejection region? Is the P-value less than the significance level? ? Conclusion: Select an answer Step 6. Interpretation: At 5% significance level we Select an answer v have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. Check Anover
Transcribed Image Text:O Population standard deviation is known O Population standard deviation is unknown O Normal population O The number of positive and negative responses are both greater than 10 Step 1. Hypotheses Set-Up: where ? v is the Hn: Select an answer V = Select an answer v and the units are H: Select an answer v? v ,and the test is Select an answer v Step 2. The significance level a = Step 3. Compute the value of the test statistic: Select an answer v (Round the answer to 3 decimal places) Step 4. Testing Procedure: (Round the answers to 3 decimal places) CVA PVA Compute the P-value of the test statistic: Provide the critical value(s) for the Rejection Region: left CV is and right CV is P-value is Step 5. Decision: CVA PVA Is the test statistic in the rejection region? Is the P-value less than the significance level? ? Conclusion: Select an answer Step 6. Interpretation: At 5% significance level we Select an answer v have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. Check Anover
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