1. Does the herb Echinacea help the common cold? A study by…

Question Answered step-by-step 1. Does the herb Echinacea help the common cold? A study by… 1. Does the herb Echinacea help the common cold?  A study by researchers at the University of Wisconsin-Madison published a study in the Annals of Internal Medicine that found that Echinacea was no better than the standard cold medicine.  People who recently came down with colds were random assigned either Echinacea in capsule form or the standard cold medicine in capsule form.  After 10 days, the researchers reported that there was no statistically significant difference in the duration of the cold between these groups.  Identify the type of study.a. Observational studyb. Experimentc. Block Designd. Cluster Sample     2. A manager at a store claims that the average customer service rating is 4.8.  A sales associate takes a random sample and conducts a hypotheses test to test the accuracy of this claim.  The resulting calculator output from the hypothesis test is shown below.                        Image transcription textT-Test H#4. 8 t=2. 121320344 =0.0389780539 x=5. 1 Sx=1 n=50… Show more a. (2 points) True or false?  We would reject the null hypothesis at the 0.01 level of significance.b. (2 points) True or false?  A 98% confidence interval for this sample would contain 4.8.        3. A retail store tracks the proportion of sales that result in a merchandise return.  A manager believes the proportion that gets returned is 0.15. A sales associate believes the proportion is higher and conducts a hypothesis test to test the accuracy of this claim.  The resulting calculator output from the hypothesis test is shown below.                     Image transcription text1-PropZTest Prop>0. 15 Z=1 .980295086 P=0. 0238351202 p=0. 2n=200… Show more Suppose a hypothesis test is conducted at the 0.01 level and later a full audit of sales reveals that the true proportion of sales that result in a merchandise return is 0.17.  Did a Type I error, Type II error, or a correct decision occur?  Explain.     4. The heart rate of a healthy lion is approximately normally distributed with a mean = 40 beats per minute. A heart rate that is too fast or too slow can indicate a health problem.  A veterinarian has removed an abscessed tooth from a young, healthy zoo lion.  As the animal slowly starts to come out of anesthetic, its heart rate (in beats per minute) is taken and recorded at random times during the next half an hour: 302743484134 Use a 0.01 level of significance to test the claim that the population mean heart rate of this lion is not 40 beats per minute.  a. What are the null and alternative hypotheses? (b) What is the value of the test statistic? Round to three decimal places as necessary. (c) What is the p-value for this test? Round to three decimal places as necessary.(d) Would you reject or fail to reject the null hypothesis of this test?  Why?(e) State the conclusion in the context of the problem.       5. The following table represents the sales of cars at a local car dealer. Using a 3-month moving average, forecast the sales of cars in the 4th and 5th months.  Fill in the missing value of [a] and [b] in the table below.MonthSales (Actual)Sales (Forecast – 3 month moving average)1150 216031204140[a]5155[b]   Math Statistics and Probability STAT 1430.01 Share QuestionEmailCopy link Comments (0)