The table below contains pulse rates after running for 1 minute, collected from a sample of females who drink alcohol. The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of females who do drink alcohol is higher than the mean pulse rate of females who do not drink? Test at the 8% level.pulse rate after running one minute in bpm78130731189393771351489288106458093951621144780841139744916977921211548481991149993P: Parameter What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? H: Hypotheses Fill in the correct null and alternative hypotheses:𝐻0: bpm 𝐻𝐴: bpm A: Assumptions Since information was collected from each object, what conditions do we need to check? Check all that apply. σσ is knownoutliers in the data𝑛(𝑝̂)≥10𝑁≥20𝑛𝑛𝑝≥10no outliers in the data𝑛≥30 or normal population𝑛(1-𝑝)≥10σσ is unknown𝑛(1-𝑝̂)≥10 Check those assumptions: 1. Is the value of 𝜎 known? 2. Which of the following is the correct modified boxplot? 406080100120140160180pulse rate after running one minute in bpm448093137.75162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([80,2],[137.75,4]); line([93,2],[93,4]);line([162,2],[162,4]); line([44,3],[80,3]); line([137.75,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([80,4],'80','above');text([93,4],'93','above');text([137.75,4],'137.75','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;]406080100120140160180pulse rate after running one minute in bpm448086.5113.5162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([80,2],[113.5,4]); line([86.5,2],[86.5,4]);line([162,2],[162,4]); line([44,3],[80,3]); line([113.5,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([80,4],'80','above');text([86.5,4],'86.5','above');text([113.5,4],'113.5','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;]406080100120140160180pulse rate after running one minute in bpm448093113.5162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([80,2],[113.5,4]); line([93,2],[93,4]);line([162,2],[162,4]); line([44,3],[80,3]); line([113.5,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([80,4],'80','above');text([93,4],'93','above');text([113.5,4],'113.5','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;]406080100120140160180pulse rate after running one minute in bpm446293113.5162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([62,2],[113.5,4]); line([93,2],[93,4]);line([162,2],[162,4]); line([44,3],[62,3]); line([113.5,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([62,4],'62','above');text([93,4],'93','above');text([113.5,4],'113.5','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;] Are there any outliers? 3. 𝑛 = which is Is it reasonable to assume the population is normally distributed? N: Name the test The conditions are met to use a .T: Test Statistic The symbol and value of the random variable on this problem are as follows: = bpm The test statistic formula set up with numbers is as follows: Round values to 2 decimal places. 𝑡=𝑋¯-𝜇𝑠𝑛=(( - ) / / )) The final answer for the test statistic from technology is as follows: Round to 2 decimal places. t = O: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision Since the p-value , we .S: State a conclustion There significant evidence to conclude bpm
Question
The table below contains pulse rates after running for 1 minute, collected from a sample of females who drink alcohol. The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of females who do drink alcohol is higher than the mean pulse rate of females who do not drink? Test at the 8% level.pulse rate after running one minute in bpm78130731189393771351489288106458093951621144780841139744916977921211548481991149993P: Parameter What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? H: Hypotheses Fill in the correct null and alternative hypotheses:𝐻0: bpm 𝐻𝐴: bpm A: Assumptions Since information was collected from each object, what conditions do we need to check? Check all that apply. σσ is knownoutliers in the data𝑛(𝑝̂)≥10𝑁≥20𝑛𝑛𝑝≥10no outliers in the data𝑛≥30 or normal population𝑛(1-𝑝)≥10σσ is unknown𝑛(1-𝑝̂)≥10 Check those assumptions: 1. Is the value of 𝜎 known? 2. Which of the following is the correct modified boxplot? 406080100120140160180pulse rate after running one minute in bpm448093137.75162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([80,2],[137.75,4]); line([93,2],[93,4]);line([162,2],[162,4]); line([44,3],[80,3]); line([137.75,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([80,4],'80','above');text([93,4],'93','above');text([137.75,4],'137.75','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;]406080100120140160180pulse rate after running one minute in bpm448086.5113.5162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([80,2],[113.5,4]); line([86.5,2],[86.5,4]);line([162,2],[162,4]); line([44,3],[80,3]); line([113.5,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([80,4],'80','above');text([86.5,4],'86.5','above');text([113.5,4],'113.5','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;]406080100120140160180pulse rate after running one minute in bpm448093113.5162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([80,2],[113.5,4]); line([93,2],[93,4]);line([162,2],[162,4]); line([44,3],[80,3]); line([113.5,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([80,4],'80','above');text([93,4],'93','above');text([113.5,4],'113.5','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;]406080100120140160180pulse rate after running one minute in bpm446293113.5162[Graphs generated by this script: setBorder(15); initPicture(40,180,-3,6);axes(20,100,1,null,null,1,'off');text([99,-3],"pulse rate after running one minute in bpm");line([44,2],[44,4]); rect([62,2],[113.5,4]); line([93,2],[93,4]);line([162,2],[162,4]); line([44,3],[62,3]); line([113.5,3],[162,3]);fontsize*=.8;fontfill='blue';text([44,4],'44','above');text([62,4],'62','above');text([93,4],'93','above');text([113.5,4],'113.5','above');text([162,4],'162','above');fontfill='black';fontsize*=1.25;] Are there any outliers? 3. 𝑛 = which is Is it reasonable to assume the population is normally distributed? N: Name the test The conditions are met to use a .T: Test Statistic The symbol and value of the random variable on this problem are as follows: = bpm The test statistic formula set up with numbers is as follows: Round values to 2 decimal places. 𝑡=𝑋¯-𝜇𝑠𝑛=(( - ) / / )) The final answer for the test statistic from technology is as follows: Round to 2 decimal places. t = O: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision Since the p-value , we .S: State a conclustion There significant evidence to conclude bpm
Solution
P: Parameter The correct parameter symbol for this problem is μ (mu), which represents the population mean. In the context of this problem, the parameter is the mean pulse rate after running for 1 minute of females who drink alcohol.
H: Hypotheses Null hypothesis (H0): μ = 97 bpm Alternative hypothesis (HA): μ > 97 bpm
A: Assumptions We need to check the following conditions:
- The sample size is large enough (n≥30 or normal population)
- There are no outliers in the data
- The value of the population standard deviation (σ) is unknown
- The value of σ is not known.
- To determine the correct modified boxplot, we need to plot the data and look for any outliers.
- The sample size (n) is the number of pulse rates given, which needs to be counted. If n≥30, it is reasonable to assume the population is normally distributed.
N: Name the test The conditions are met to use a one-sample t-test.
T: Test Statistic The symbol and value of the random variable on this problem are as follows: X̄ = (sum of all pulse rates) / n The test statistic formula set up with numbers is as follows: t = (X̄ - μ) / (s / √n) The final answer for the test statistic needs to be calculated using the given data.
O: Obtain the P-value The P-value needs to be calculated using the t-distribution table or a statistical software.
M: Make a decision If the P-value is less than the significance level (0.08), we reject the null hypothesis.
S: State a conclusion If we reject the null hypothesis, there is significant evidence to conclude that the mean pulse rate of females who drink alcohol is higher than 97 bpm. If we do not reject the null hypothesis, there is not enough evidence to conclude that the mean pulse rate of females who drink alcohol is higher than 97 bpm.
Similar Questions
A study measured heart rate per minute in two groups of people.Data is presented in the following table.GroupHeart rate/minute164, 62, 64, 61, 66, 70, 73, 61, 59, 66, 67, 68, 66, 71272, 76, 72, 71, 69, 68, 78, 75, 76, 74, 77, 78, 79, 82, 88Calculate the mean for both group 1 and group 2.Enter your answer in the text box below.
The table below contains pulse rates after running for 1 minute, collected from a random sample of females who drink alcohol. Find a 95% confidence interval for the mean pulse rate after exercise of all women who do drink alcohol.pulse rate after running one minute in bpm11014812051141127891211381109210012611515215210067123649281911065183140110P: Parameter What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? A: AssumptionsSince information was collected from each object, what conditions do we need to check? Check all that apply. 𝑛(1-𝑝)≥10𝑛≥30 or normal population𝑛𝑝≥10𝑛(𝑝̂)≥10σσ is known𝑛(1-𝑝̂)≥10σσ is unknownno outliers in the data𝑁≥20𝑛outliers in the data Check those assumptions: 1. Is the value of 𝜎 known? 2. Which of the following is the correct modified boxplot? 406080100120140160pulse rate after running one minute in bpm5190110126.5152[Graphs generated by this script: setBorder(15); initPicture(40,160,-3,6);axes(20,100,1,null,null,1,'off');text([90.5,-3],"pulse rate after running one minute in bpm");line([51,2],[51,4]); rect([90,2],[126.5,4]); line([110,2],[110,4]);line([152,2],[152,4]); line([51,3],[90,3]); line([126.5,3],[152,3]);fontsize*=.8;fontfill='blue';text([51,4],'51','above');text([90,4],'90','above');text([110,4],'110','above');text([126.5,4],'126.5','above');text([152,4],'152','above');fontfill='black';fontsize*=1.25;]406080100120140160pulse rate after running one minute in bpm5190100126.5152[Graphs generated by this script: setBorder(15); initPicture(40,160,-3,6);axes(20,100,1,null,null,1,'off');text([90.5,-3],"pulse rate after running one minute in bpm");line([51,2],[51,4]); rect([90,2],[126.5,4]); line([100,2],[100,4]);line([152,2],[152,4]); line([51,3],[90,3]); line([126.5,3],[152,3]);fontsize*=.8;fontfill='blue';text([51,4],'51','above');text([90,4],'90','above');text([100,4],'100','above');text([126.5,4],'126.5','above');text([152,4],'152','above');fontfill='black';fontsize*=1.25;]406080100120140160pulse rate after running one minute in bpm5190110139.25152[Graphs generated by this script: setBorder(15); initPicture(40,160,-3,6);axes(20,100,1,null,null,1,'off');text([90.5,-3],"pulse rate after running one minute in bpm");line([51,2],[51,4]); rect([90,2],[139.25,4]); line([110,2],[110,4]);line([152,2],[152,4]); line([51,3],[90,3]); line([139.25,3],[152,3]);fontsize*=.8;fontfill='blue';text([51,4],'51','above');text([90,4],'90','above');text([110,4],'110','above');text([139.25,4],'139.25','above');text([152,4],'152','above');fontfill='black';fontsize*=1.25;]406080100120140160pulse rate after running one minute in bpm5170.5110126.5152[Graphs generated by this script: setBorder(15); initPicture(40,160,-3,6);axes(20,100,1,null,null,1,'off');text([90.5,-3],"pulse rate after running one minute in bpm");line([51,2],[51,4]); rect([70.5,2],[126.5,4]); line([110,2],[110,4]);line([152,2],[152,4]); line([51,3],[70.5,3]); line([126.5,3],[152,3]);fontsize*=.8;fontfill='blue';text([51,4],'51','above');text([70.5,4],'70.5','above');text([110,4],'110','above');text([126.5,4],'126.5','above');text([152,4],'152','above');fontfill='black';fontsize*=1.25;] Are there any outliers? 3. 𝑛= which is Is it reasonable to assume the population is normally distributed? N: Name the procedure The conditions are met to use a .I: Interval and point estimate The symbol and value of the point estimate are as follows: (Round answer to 1) = bpm The interval estimate for is as follows: (Round endpoints to 1 decimal places and use units exactly as stated in the problem) ( , )C: Conclusion We are % confident that the is between bpm and bpm
Here is some data of a few patient's pulse measurement: 1) Find the mean of a variable "pulse rate". Find the standard deviation of a variable "pulse rate" Use the correct symbol and choose the correct formula from the list. Plug in numbers, you don't have actually to calculate it. The correct answer is 14.2227 bpm. What would be unusually high and unusually low pulse rate?
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A group of 75 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.Let μ be the mean number of alcoholic beverages that students in the college drink in a typical week. State the hypotheses that are being tested in this problem.
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