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An article in the San Jose Mercury News stated that students in the California state university system take 5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less than 5 years and conducts a survey of 38 students. The student obtains a sample mean of 4.4 years with a sample standard deviation of 0.7 years. Is there sufficient evidence to support the student's claim at a 0.1 significance level that the mean time is less than 5 years? a) Identify the null and alternative hypotheses? Ho? H₁: V b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed Otwo-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. Owe fail to reject the null hypothesis, since the p-value is less than the significance level. Owe fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. There is sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. O There is not sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. There is sufficient evidence to support the claim that the mean time is less than 5 years. There is not sufficient evidence to support the claim that the mean time is less than 5 years. Submit Question

An article in the San Jose Mercury News stated that students in the California state university system take 5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less than 5 years and conducts a survey of 38 students. The student obtains a sample mean of 4.4 years with a sample standard deviation of 0.7 years. Is there sufficient evidence to support the student's claim at a 0.1 significance level that the mean time is less than 5 years? a) Identify the null and alternative hypotheses? Ho? H₁: V b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed Otwo-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. Owe fail to reject the null hypothesis, since the p-value is less than the significance level. Owe fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. There is sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. O There is not sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. There is sufficient evidence to support the claim that the mean time is less than 5 years. There is not sufficient evidence to support the claim that the mean time is less than 5 years. Submit Question

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 3GP
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An article in the San Jose Mercury News stated that students in the California state university system take 5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less than 5 years and conducts a survey of 38 students. The student obtains a sample mean of 4.4 years with a sample standard deviation of 0.7 years. Is there sufficient evidence to support the student's claim at a 0.1 significance level that the mean time is less than 5 years? a) Identify the null and alternative hypotheses? Ho? H₁: V b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed Otwo-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. Owe fail to reject the null hypothesis, since the p-value is less than the significance level. Owe fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. There is sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. O There is not sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. There is sufficient evidence to support the claim that the mean time is less than 5 years. There is not sufficient evidence to support the claim that the mean time is less than 5 years. Submit Question
Transcribed Image Text:An article in the San Jose Mercury News stated that students in the California state university system take 5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less than 5 years and conducts a survey of 38 students. The student obtains a sample mean of 4.4 years with a sample standard deviation of 0.7 years. Is there sufficient evidence to support the student's claim at a 0.1 significance level that the mean time is less than 5 years? a) Identify the null and alternative hypotheses? Ho? H₁: V b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed Otwo-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. Owe fail to reject the null hypothesis, since the p-value is less than the significance level. Owe fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. There is sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. O There is not sufficient evidence to warrant rejection of the claim that the mean time is less than 5 years. There is sufficient evidence to support the claim that the mean time is less than 5 years. There is not sufficient evidence to support the claim that the mean time is less than 5 years. Submit Question
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