The Pinelands Perks Coffee Shop at Pinelands General Hospital recently monitored its late morning customer counts. A random sample of counts on randomly selected days yielded the following number of pre-lunch but definitely post breakfast customers: 24 25 29 30 38 38 39 41 42 43 43 44 52 53 57 60
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QUESTION 4
The Pinelands Perks Coffee Shop at Pinelands General Hospital recently monitored its late morning customer counts. A random sample of counts on randomly selected days yielded the following number of pre-lunch but definitely post breakfast customers:
24 | 25 | 29 | 30 | 38 | 38 | 39 | 41 |
42 | 43 | 43 | 44 | 52 | 53 | 57 | 60 |
After computing the most democratic measures of center and spread for this data collection, preferably using technology to minimize manual calculations, and rounding off to the nearest whole unit if necessary, complete the following statement: On average, the Pinelands Perks Coffee Shop serves exactly [#1] customers daily just prior to lunch, give or take approximately [#2] customers.
report your answer precisely, including only the numerical value without unit or labels.
#1=?
#2=?
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- QUESTION 4 The Pinelands Perks Coffee Shop at Pinelands General Hospital recently monitored its late morning customer counts. A random sample of counts on randomly selected days yielded the following number of pre-lunch but definitely post breakfast customers: 24 25 29 30 38 38 39 41 42 43 43 44 52 53 57 60 After computing the most democratic measures of center and spread for this data collection, preferably using technology to minimize manual calculations, and rounding off to the nearest whole unit if necessary, complete the following statement: On average, the Pinelands Perks Coffee Shop serves exactly [#4] customers daily just prior to lunch, give or take approximately [#5] customers. report your answer precisely, including only the numerical value without unit or labels. #4=? #5=?QUESTION 4 Titus Company, a recycling computer company ordered computer components from two differentsuppliers, namely Supplier A and Supplier B. Since Covid-19 outbreak in Malaysia, the companyhas financial constraint and need to identify which supplier has more reliable component. Duringassembly process, the number of defective components is recorded. The number of defectivecomponents for each supplier from 12 random days in a month is given in Table 3. Assume thatthe data are normally distributed and the two population standard deviations are not equal.Table 3Day 1 2 3 4 5 6 7 8 9 10 11 12Supplier A 34 36 40 39 30 38 37 39 35 41 40 38Supplier B 40 40 38 39 37 35 42 41 40 41 33 39(i) Construct a 90% confidence interval for the difference in the true average number of defectivecomponents between both suppliers.(ii) Interpret the parameter estimate obtained in (i)?(iii) What is the effect on…A low-level CDC bureaucrat wants to please his boss by gathering evidence thatthe current government-mandated shutdown of society is not causing people’s mentalhealth to deteriorate, so that it can safely be continued for several years if anyexpert says it’s necessary.He polls a random sample of 1600 citizens, gathering data on such items asincome loss, weight gain, access to toilet paper, hours spent binge-watchingNetflix, and number of injuries caused by household fights, and compiles all thisinto a scientifically-weighted “misery index”.The mean misery index from the sample is 99.2; it seems reasonable to use apopulation standard deviation σ = 19.1.a) Does this information provide significant evidence (at the 5% level) that thenationwide mean misery index is less than 100? Set up appropriate null andalternative hypotheses, calculate the appropriate test statistic, find the P-value,and state your conclusion. (10)b) A CDC press release publishing the results of this study claims that…
- A low-level CDC bureaucrat wants to please his boss by gathering evidence thatthe current government-mandated shutdown of society is not causing people’s mentalhealth to deteriorate, so that it can safely be continued for several years if anyexpert says it’s necessary.He polls a random sample of 1600 citizens, gathering data on such items asincome loss, weight gain, access to toilet paper, hours spent binge-watchingNetflix, and number of injuries caused by household fights, and compiles all thisinto a scientifically-weighted “misery index”.The mean misery index from the sample is 99.2; it seems reasonable to use apopulation standard deviation σ = 19.1.a) Does this information provide significant evidence (at the 5% level) that thenationwide mean misery index is less than 100? Set up appropriate null andalternative hypotheses, calculate the appropriate test statistic, find the P-value,and state your conclusion. b) A CDC press release publishing the results of this study claims that…Question 3 Edex limited is a renowned agricultural chemical manufacturer in Australia. They conduct many research and development in the field of Agri and Horticulture. Company wanted to examine the effect of temperature on farming of their selected range of products. Company has produced following results based on their data gathering. 15° C 35 24 36 39 32 25° C 30 31 34 23 27 35° C 23 28 28 30 31 You are required to answer following questions; 1. State the null and alternative hypothesis for single factor ANOVA to test for any significant difference in the perception among three groups. 2. State the decision rule at 5% significance level. 3. Calculate the test statistic. 4. Based on the calculated test statistics, decide whether there are any significant differences between the yield based on the given temperature levels.Delmarva Power is a utility company that would like to predict the monthly heating bill for a household in Kent County during the month of January. A random sample of 18 households in the county were selected and their January heating bill recorded. This data is shown in the table below along with square footage of the house (SF), the age of the heating system in years (Age,) and the type of heating system (heat pump =1 or natural gas = 2). Household Bill SF Age Type 1 $255 2,070 7 Natural Gas 2 $286 1,909 17 Natural Gas 3 $255 2,070 7 Natural Gas 4 $300 2,307 22 Natural Gas 5 $305 3,021 5 Natural Gas 6 $317 2,683 14 Natural Gas 7 $321 1,511 8 Natural Gas 8 $321 2,836 3 Natural Gas 9 $339 2,553 20 Natural Gas 10 $349 2,497 11 Natural Gas 11 $369 2,103 12 Heat pump 12 $374 2,486 18 Heat pump 13 $381 2,279 19 Heat pump…
- This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Diltiazem is a commonly prescribed drug for hypertension. However, diltiazem causes headaches in about 12% of patients using the drug. It is hypothesized that regular exercise might help reduce the headaches. If a random sample of 205 patients using diltiazem exercised regularly and only 18 had headaches, would this indicate a reduction in the population proportion of patients having headaches? Use a 1% level of significance. A-What is the value of the sample test statistic? (Round your answers to two decimal places.) B- Find the P-value of the test statistic. (Round your answers to four decimal places.)This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Diltiazem is a commonly prescribed drug for hypertension. However, diltiazem causes headaches in about 12% of patients using the drug. It is hypothesized that regular exercise might help reduce the headaches. If a random sample of 205 patients using diltiazem exercised regularly and only 15 had headaches, would this indicate a reduction in the population proportion of patients having headaches? Use a 1% level of significance. 1. What is the value of the sample test statistic? (Round your answers to two decimal places.) 2. Find the P-value of the test statistic. (Round your answers to four decimal places.)This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Diltiazem is a commonly prescribed drug for hypertension. However, diltiazem causes headaches in about 11% of patients using the drug. It is hypothesized that regular exercise might help reduce the headaches. If a random sample of 206 patients using diltiazem exercised regularly and only 17 had headaches, would this indicate a reduction in the population proportion of patients having headaches? Use a 1% level of significance. (a) What is the level of significance?State the null hypothesis H0 and the alternate hypothesis H1 . H0 : p H1 : p (b) What sampling distribution will you use? The standard normalThe Student's t since np and nq What is the value of the sample test statistic? (Round your answers to two decimal places.)(c) Find the P-value of the test statistic. (Round your answers to four decimal…
- Question 6A multinational corporation is conducting a study to see how its employees in five different countries respond to three gifts in an incentivescheme. The numbers of employees who choose each of the three gifts(G1 to G3) in each of the five countries (A to E) are given in the tablein ‘Dataset6’ in the Excel document.1. Set up the structure of an appropriate statistical test to determine whether the data supports a link between choice of gift andcountry, including the statistic to be used.2. Carry out this test, showing clearly in your work how the expectedvalues are calculated for your test statistic. G1 G2 G3 A 5 17 19 B 8 20 19 C 11 16 25 D 12 19 30 E 13 20 28In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row B represents the average January deer count for a 5-year period before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was built. The highway department claims that the January population has not changed. Test this claim against the claim that the January population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d = B − A.) Wilderness District 1 2 3 4 5 6 7 8 9 10 B: Before highway 10.1 7.2 12.9 5.6 17.4 9.9 20.5 16.2 18.9 11.6 A: After highway 9.3 8.4 10.2 4.1 4.0 7.1 15.2 8.3 12.2 7.3 What…In a medical study on the maximum heart rates of cardiac patients in a two-minute stress test, two groups had the following summary statistics.Group A: median = 145 beats/min, interquartile range = 9.0 beats/minGroup B: median = 148.5 beats/min, interquartile range = 10.0 beats/minWhich comparison is correct? 1 Members of Group A had slower heartbeats and less variation than Group B. 2 Members of Group A had slower heartbeats and more variation than Group B. 3 Members of Group A had faster heartbeats and more variation than Group B. 4 Members of Group A had faster heartbeats and less variation than Group B.