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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

Question

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

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Solution

P: Parameter

  • What is the correct parameter symbol for this problem?

    • The correct parameter symbol is μ\mu.
  • What is the wording of the parameter in the context of this problem?

    • The mean pulse rate after exercise of all women who drink alcohol.

A: Assumptions

  • Since information was collected from each object, what conditions do we need to check? Check all that apply.

    • n30n \geq 30 or normal population
    • σ\sigma is unknown
    • no outliers in the data
  • Check those assumptions:

    1. Is the value of σ\sigma known?
      • No, σ\sigma is unknown.
    2. Which of the following is the correct modified boxplot?
      • The correct modified boxplot is:
        40 60 80 100 120 140 160
        pulse rate after running one minute in bpm
        51 90 110 126.5 152
        [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;]
        
  • Are there any outliers?

    • Yes, there are outliers.
    1. n=n = which is
      • n=25n = 25
    • Is it reasonable to assume the population is normally distributed?
      • Yes, it is reasonable to assume the population is normally distributed.

N: Name the procedure

  • The conditions are met to use a t-interval for the mean.

I: Interval and point estimate

  • The symbol and value of the point estimate are as follows:

    • xˉ=110.8\bar{x} = 110.8 bpm
  • The interval estimate for μ\mu is as follows:

    • (100.3,121.3)(100.3, 121.3) bpm

C: Conclusion

  • We are 95% confident that the mean pulse rate after exercise of all women who drink alcohol is between 100.3 bpm and 121.3 bpm.

This problem has been solved

Similar Questions

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 2% level.pulse rate after running one minute in bpm57124122110801107998667080124649780701094185621189575140107671313796131159421141079896P: 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.    outliers in the data𝑛≥30 or normal population𝑁≥20𝑛𝑛(𝑝̂)≥10σσ is unknownσσ is known𝑛𝑝≥10𝑛(1-𝑝)≥10no outliers in the data𝑛(1-𝑝̂)≥10     Check those assumptions:     1. Is the value of 𝜎 known?      2. Which of the following is the correct modified boxplot?         20406080100120140160pulse rate after running one minute in bpm377096135.5159[Graphs generated by this script: setBorder(15); initPicture(20,160,-3,6);axes(20,100,1,null,null,1,'off');text([81,-3],"pulse rate after running one minute in bpm");line([37,2],[37,4]); rect([70,2],[135.5,4]); line([96,2],[96,4]);line([159,2],[159,4]); line([37,3],[70,3]); line([135.5,3],[159,3]);fontsize*=.8;fontfill='blue';text([37,4],'37','above');text([70,4],'70','above');text([96,4],'96','above');text([135.5,4],'135.5','above');text([159,4],'159','above');fontfill='black';fontsize*=1.25;]20406080100120140160pulse rate after running one minute in bpm377096112159[Graphs generated by this script: setBorder(15); initPicture(20,160,-3,6);axes(20,100,1,null,null,1,'off');text([81,-3],"pulse rate after running one minute in bpm");line([37,2],[37,4]); rect([70,2],[112,4]); line([96,2],[96,4]);line([159,2],[159,4]); line([37,3],[70,3]); line([112,3],[159,3]);fontsize*=.8;fontfill='blue';text([37,4],'37','above');text([70,4],'70','above');text([96,4],'96','above');text([112,4],'112','above');text([159,4],'159','above');fontfill='black';fontsize*=1.25;]20406080100120140160pulse rate after running one minute in bpm377083112159[Graphs generated by this script: setBorder(15); initPicture(20,160,-3,6);axes(20,100,1,null,null,1,'off');text([81,-3],"pulse rate after running one minute in bpm");line([37,2],[37,4]); rect([70,2],[112,4]); line([83,2],[83,4]);line([159,2],[159,4]); line([37,3],[70,3]); line([112,3],[159,3]);fontsize*=.8;fontfill='blue';text([37,4],'37','above');text([70,4],'70','above');text([83,4],'83','above');text([112,4],'112','above');text([159,4],'159','above');fontfill='black';fontsize*=1.25;]20406080100120140160pulse rate after running one minute in bpm3753.596112159[Graphs generated by this script: setBorder(15); initPicture(20,160,-3,6);axes(20,100,1,null,null,1,'off');text([81,-3],"pulse rate after running one minute in bpm");line([37,2],[37,4]); rect([53.5,2],[112,4]); line([96,2],[96,4]);line([159,2],[159,4]); line([37,3],[53.5,3]); line([112,3],[159,3]);fontsize*=.8;fontfill='blue';text([37,4],'37','above');text([53.5,4],'53.5','above');text([96,4],'96','above');text([112,4],'112','above');text([159,4],'159','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

It is believed that 11% of all Americans are left-handed. In a random sample of 500 students from a particular college with 52407 students, 47 were left-handed. Find a 97% confidence interval for the percentage of all students at this particular college who are left-handed.P: 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≥30 or normal population.σσ is known.𝑛(1-𝑝)≥10𝑛(𝑝̂)≥10σσ is unknown.𝑁≥20𝑛𝑛(1-𝑝̂)≥10𝑛𝑝≥10    Check those assumptions:    1. 𝑛𝑝^= which is     2. 𝑛(1-𝑝^)= which is     3. 𝑁= which is          If no N is given in the problem, use 1000000N: Name the procedure     The conditions are met to use a .I: Interval and point estimate    The symbol and value of the point estimate on this problem are as follows:    = Leave answer as a fraction.    The interval estimate for is ( , )    Round endpoints to 3 decimal places.C: Conclusion We are % confident that the is between % and %

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