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1) Hypothesis Testing for Population Mean: Population Variance Known a) A restaurant claims that there is an average of 20g of sugar in each slice of their cheesecake. A testing agency purchases 28 slices and finds an average of 22g of sugar per slice. It is known that the sugar content is normally distributed with σ = 5g. Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Let α = 0.05. Circle the correct null and alternative hypotheses. i) Нo μ = 20 H : μ = 20 Ho μ = 20 Η : μ < 20 Η : μ # 20 Н₁ μ> 20 ii) What is the significance level? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Circle your response. YES NO

1) Hypothesis Testing for Population Mean: Population Variance Known a) A restaurant claims that there is an average of 20g of sugar in each slice of their cheesecake. A testing agency purchases 28 slices and finds an average of 22g of sugar per slice. It is known that the sugar content is normally distributed with σ = 5g. Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Let α = 0.05. Circle the correct null and alternative hypotheses. i) Нo μ = 20 H : μ = 20 Ho μ = 20 Η : μ < 20 Η : μ # 20 Н₁ μ> 20 ii) What is the significance level? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Circle your response. YES NO

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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1) Hypothesis Testing for Population Mean: Population Variance Known a) A restaurant claims that there is an average of 20g of sugar in each slice of their cheesecake. A testing agency purchases 28 slices and finds an average of 22g of sugar per slice. It is known that the sugar content is normally distributed with σ = 5g. Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Let α = 0.05. Circle the correct null and alternative hypotheses. i) Нo μ = 20 H : μ = 20 Ho μ = 20 Η : μ < 20 Η : μ # 20 Н₁ μ> 20 ii) What is the significance level? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Circle your response. YES NO
Transcribed Image Text:1) Hypothesis Testing for Population Mean: Population Variance Known a) A restaurant claims that there is an average of 20g of sugar in each slice of their cheesecake. A testing agency purchases 28 slices and finds an average of 22g of sugar per slice. It is known that the sugar content is normally distributed with σ = 5g. Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Let α = 0.05. Circle the correct null and alternative hypotheses. i) Нo μ = 20 H : μ = 20 Ho μ = 20 Η : μ < 20 Η : μ # 20 Н₁ μ> 20 ii) What is the significance level? iii) Which test statistic will you use? Circle your answer. Ꮓ T x² iv) Calculate the value of the test statistic for the engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. Do not round or truncate. vii) What is the conclusion? Circle your response. Accept Ho Reject Ho Fail to reject Ho viii) Does the sample seem to indicate that the average sugar content in this restaurant's cheesecake is not 20g? Circle your response. YES NO
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