9.15 On the basis of past data, the owner of an automobile dealership finds that, on average, 8.5 cars are sold per day on Saturdays and Sundays during the months of January and February, with the sales rate relatively stable throughout the day. Moreover, purchases appear to be independent of one another. The dealership is open for 10 hours per day on each of these days. There is no reason to believe that the sales for the upcoming year will be any different from in the past. a On the first Saturday in February, the dealership will open at 9 A.M. Find the proba- bility that the time until the first sale is more than two hours, PE(722 hours | m = 8.5 cars per 10 hours). b Find the probability that the number of sales before 11 A,M. is equal to zero. Pp(X =0 in 2 hours | m =8.5 cars per 10 hours). Compare your answer with that from part a. Can you explain why the answers are the same?
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- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 55 clam shells in February and 55 clam shells in March. 14 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months; specifically, if the population proportion in February is higher than March. Let ? = 0.1.Note: Do all calculations as February - MarchA) The point estimate for the true difference in proportion of dark growth bands between February and March is: Note: answer using 4 decimal precisionB) The test statistic, ztest, is: Note: answer using 2 decimal…Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:
- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5 21.6 24.3 27.4 21.5 *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.1) The following data show the results of a study based on the number of hours college students spend playing video games and their GPAs: Number of Hours Playing Video Games(per week)= 42 GPA= 0.2Number of Hours Playing Video Games(per week)= 38 GPA= 0.9Number of Hours Playing Video Games(per week) = 32 GPA= 1.0Number of Hours Playing Video Games(per week) = 26 GPA = 1.1Number of Hours Playing Video Games(per week) = 23 GPA= 1.2Number of Hours Playing Video Games(per week) = 19 GPA= 2.5Number of Hours Playing Video Games(per week) = 15 GPA = 3.0 a) Create a scatter plot and be sure to LABEL BOTH axis and give the chart an overall name. Have the graph display the “r-value” and the correct equation.b) What kind of correlation is this?c) Is this more of a linear or exponential model? Why?d) Predict the standard GPA if a student spends one hour a week playing videogames.
- A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05At any age, about 20% of American adults participate in physical conditioning activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40 years of age, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.Pet Owners A study of pet owners showed the following information concerning the ownership of the dogs and cats. At =α0.10 , is there a relationship between the number of people in a family and dog or cat ownership? Use the critical value method with tables. 1 person 2 people 3 people 4 or more people Dog 5 15 10 25 Cat 10 15 15 15 1)State the hypotheses and identify the claim. H0: Pet ownership is ▼(DEPENDANT ON or INDEPENDANT OF?) the number of people living in the household. (CLAIM OR NOT CLAIM?) H1 : Pet ownership is (DEPENDANT ON or INDEPENDANT OF?) the number of people living in the household. (CLAIM OR NOT CLAIM?) 2. Find the critical value 3. Compute the test value: X^2= 4. Reject or Do not reject the null hypothesis 5. Summarize: Is there or is there not enough evidence to reject the claim?Is there or is there not enough evidence to support the claim?
- 1. The following data represent the operating time in hours for 4 types of pocket calculators before a recharge is required.Fx101 Fx202 Fx303 Fx404 6.4 5.9 7.1 5.3 6.1 5.8 7.1 4.9 6.5 5.9 7.2 6.1 6.2 5.1 7.3 7.1 6.3 5.0 7.4 4.9Test at 0.01 level of significance if the operating times for all four calculators are equal. Use 4 decimal placesSTATISTICS = _____COMPUTED VALUE = _____TABULAR VALUE = _____CONCLUSION = _____An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination? *(no use EXCEL)