To illustrate the effects of driving under the influence​ (DUI) of​ alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine​ teenagers, the time​ (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Screen Shot 2020-11-03 at 2.57.43 PM(1).png Picture1(3).png  Review the provided output. Do you believe a paired t-test is valid? Use 1% level of significance.

A health management firm has samples of satisfaction ratings from former patients of two hospitals (A, B), and wants to know if one is rated more highly than the other. The information will be used to refer patients and to make suggestions for hospital improvement. The firms want to test whether the mean ratings for hospital A are higher than the mean ratings for hospital B using a significance level of 0.05. Report the value of the sample statistic and test statistic for comparing the mean ratings for hospital A & B. image2.jpg image3.jpg    

Determine whether the following statement is true or false. In order to be able to use the​ Mann-Whitney Test, the samples must be independent and have the same sample sizes.

In the lead-up to the 2024 U.S. elections, a nationwide poll was conducted one month before election day to measure public support for Issue 1. The poll surveyed 1,000 registered voters, evenly split between Democrats and Republicans, to assess whether the level of support differs significantly between the two groups. image10.jpg image9.jpg Review the Minitab output and explain briefly the validity of the two-sample z-test based on the sample size requirement. Show your work using appropriate numbers and symbols.

To illustrate the effects of driving under the influence​ (DUI) of​ alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine​ teenagers, the time​ (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded.  Report the value of the sample mean of the differences in reaction times. Estimate with 95% confidence the mean of the differences in the reaction times. Report the endpoints of the 95% confidence interval, the corresponding margin of error ME, the width of the interval, and provide its interpretation.  Report values as seen in the Minitab output – do not round. If a value is 0.055 please type as seen ( avoid shortcuts like .055 or .06). Screen Shot 2020-11-03 at 3.06.40 PM(1).png Picture1(1)(2).png    Confidence interval: ([BLANK-1], [BLANK-2]) Interpretation: we are [BLANK-3]% confident that the [BLANK-4] of the differences in the reaction times is between [BLANK-5] and [BLANK-6]. Mean of the differences inreaction times =[BLANK-7] Margin of error =[BLANK-8] Width of CI= [BLANK-9]

Review for Exam2.pdf

A health management firm has samples of satisfaction ratings from former patients of two hospitals (A, B), and wants to know if one is rated more highly than the other. The information will be used to refer patients and to make suggestions for hospital improvement. The firms want to test whether the mean ratings for hospital A are higher than the mean ratings for hospital B using a significance level of 0.05. Select the true statement for the test statistic performed as seen below in the output. image2.jpg image3.jpg    

The formula for the F-test statistic used to compare two variances is:

To illustrate the effects of driving under the influence​ (DUI) of​ alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine​ teenagers, the time​ (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded.  Which statistical inference method should we use to compare their reaction times? Subject 1 2 3 4 5 6 7 8 9   ​Normal, Xi 4.47 4.24 4.58 4.65 4.31 4.80 4.59 5.00 4.79   ​Impaired, Yi 5.77 5.85 5.45 5.32 5.83 5.49 5.23 5.63 5.63  

In the lead-up to the 2024 U.S. elections, a nationwide poll was conducted one month before election day to measure public support for Issue 1. The poll surveyed 1,000 registered voters, evenly split between Democrats and Republicans, to determine their stance on the issue. Compare the proportions of Democrats and Republicans who support the issue and assess whether the level of support differs significantly between the two groups. image10.jpg image9.jpg Provide the interpretation of the test statistic. The difference in the sample proportions of [BLANK-1] is [BLANK-2] standard errors [BLANK-3](above/below) the null hypothesized value of [BLANK-4].