Samples, Standard Error of the Mean, & Confidence Intervals Report…
Question Answered step-by-step Samples, Standard Error of the Mean, & Confidence Intervals Report… Samples, Standard Error of the Mean, & Confidence IntervalsReport the values you are using for this assignmentHR Mean (µHR)(one decimal)HR Std Dev (sHR)(two decimals)RR Mean (µRR)(one decimal)RR Std Dev (sRR)(two decimals)9012.87233.87 Task 1: Standard Error of the Mean (SEM) for Different Sample SizesCalculate SEM based on the population standard deviation of your 10 measures and imagine that you took samples of n=4 and n=9 from your population. Then calculate the SEM for an imaginary (impossible) sample of 100. Round the SEM value to 2 decimals for each calculation.Formula: Standard Error of the Mean (SEM or sM or ) = SEMHeart RateRespiratory RateSEM if n = 46.441.94SEM if n = 94.291.29SEM if n= 1001.290.39What happens to the value of the SEM as the sample size increases?The value of SEM decreases when the sample size increases. Task 2: Lowest or Highest Boundary PointsYou want to know the value the divides a certain percentage of the expected sample means from rest. Use the SEM calculated in Task 1 for a sample n=4, taken from your small population. For HR you are interested in the lowest 33%. For RR you are interested in the highest 10%.HR SEM for n=4Z for 33%Z * SEMValueµ – [Z*SEM]6.44 RR SEM for n=4Z for 10%Z * SEMValueµ + [Z*SEM]1.94 Task 3: 95% Confidence IntervalsUse the SEM calculated in Task 1 to build a 95% Confidence interval for a sample of n=9, taken from your small population. First table is for the prep calculations. Second table displays the final values somewhat visually: you could picture a normal curve and number line above the table. This may help you decide whether the sample means mentioned would be expected to fall within the 95% CI based on your population mean. 95% Confidence Interval for HRSEM for n=9Z for 95% CIZ * SEM4.29 Lower Limitµ – [Z*SEM]MeanUpper Limitµ + [Z*SEM] Would a sample mean of 81.7 fall within the 95% CI for HR? 95% Confidence Interval for RRSEM for n=9Z for 95% CIZ * SEM1.29 Lower Limitµ – [Z*SEM]MeanUpper Limitµ + [Z*SEM] Would a sample mean of 14.2 fall within the 95% CI for RR? Math Statistics and Probability STAT 200201 Share QuestionEmailCopy link Comments (0)
