For the last part the options are: FAIL TO REJECT or REJECT; SUFFICIENT or NOT SUFFICIENT; IS or IS NOT; DOES NOT APPEAR or APPEARS. ### Estimating One Minute: Hypothesis Testing#### ContextA group of students was asked to estimate the length of one minute without using any timekeeping devices. The recorded times (in seconds) are as follows:72, 81, 41, 62, 41, 59, 61, 68, 60, 72, 90, 91, 92, 64The task is to determine if these estimations are from a population with a mean of 60 seconds using a significance level of 0.10. The question is whether students are reasonably accurate at estimating one minute.#### Hypotheses FormulationChoose the appropriate null and alternative hypotheses:- **Option A:** \( H_0: \mu = 60 \) seconds \( H_1: \mu \neq 60 \) seconds- **Option B:** \( H_0: \mu \leq 60 \) seconds \( H_1: \mu > 60 \) seconds- **Option C:** \( H_0: \mu \geq 60 \) seconds \( H_1: \mu < 60 \) seconds- **Option D:** \( H_0: \mu \neq 60 \) seconds \( H_1: \mu = 60 \) seconds#### Statistical Analysis- **Determine the Test Statistic** - Calculate the test statistic and round it to two decimal places.- **Determine the P-value** - Compute the P-value and round it to three decimal places.#### ConclusionFormulate a conclusion based on the hypothesis test:- **Statement Options:** - Reject \( H_0 \) if there is sufficient evidence. - Fail to reject \( H_0 \) if there is insufficient evidence.- Assess the original claim about the population mean being 60 seconds and determine whether the group estimations are reasonably accurate.

Name: For the last part the options are: FAIL TO REJECT or REJECT; SUFFICIEN
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: For the last part the options are: FAIL TO REJECT or REJECT; SUFFICIENT or NOT SUFFICIENT; IS or IS NOT; DOES NOT APPEAR or APPEARS. ### Estimating One Minute: Hypothesis Testing#### ContextA group of students was asked to estimate the length of one