A study was conducted in a factory, a set of data was collected to determine whether the proportion of defectives produced was the same according to working shifts. The data were collected and shown in Table Q3(a). Table Q3(a): Data on Defectives According to Working Shifts Shift Morning Evening Night Proportion of Defectives 26 13 defectives Nondefective 20 29 7 At a = 0.05, test whether the proportion of defectives depend on the working shift.

A study was conducted in a factory, a set of data was collected to determine whether the proportion of defectives produced was the same according to working shifts. The data were collected and shown in Table Q3(a). Table Q3(a): Data on Defectives According to Working Shifts Shift Morning Evening Night Proportion of Defectives 26 13 defectives Nondefective 20 29 7 At a = 0.05, test whether the proportion of defectives depend on the working shift.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?
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.
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.
In a Japanese study, “researchers looked at 35 peoplewith lower back pain who were enrolled in an aquatic exercise program, which included swimming and walk-ing in a pool. Almost all of the patients showed improve-ments after six months, but the researchers found that those who participated at least twice weekly showedmore significant improvement that those who wentonly once per week.”Which of the following statements is true?a) This experiment proves that swimming causes areduction in lower back pain.b) This study is a poorly designed experiment sincethere is no control group and no randomization.c) Conclusions based on this observational study aresuspect since participation in the aquatic programmay be confounded with other lifestyle behaviors thatmay cause the improvement in lower back health.d) Conclusions based on this observational study aresuspect since a sample size of 35 is too small.e) This study is not an observational study since theaquatic program is a treatment.
A local group of economists wants to study the effects of the pandemic on the small businesses in their city. A survey was sent out to a random sample of small businesses to anonymously report both their weekly earnings in $1000 for January 2020 (group 1) and January 2021 (group 2). Assume that the weekly earnings are normally distributed. Only 10 businesses provided enough data to compute their average weekly earnings for two months. The groups are dependent. Use α = 0.01 to decide whether there is sufficient evidence that the pandemic reduced the average weekly earnings for small businesses. January 2020 January 2021 58.2 60.5 78.3 62.5 38.2 40.9 32.7 36.2 43.8 36.2 33.7 30.9 50.5 41.4 56.3 38.3 41.1 37.9 26.4 21.7 1. What are the correct hypotheses? H0: H1: 2. Based on the hypotheses, compute the following: Round answers to at least 4 decimal places. The test statistic is = The critical value is =…
A local group of economists wants to study the effects of the pandemic on the small businesses in their city. A survey was sent out to a random sample of small businesses to anonymously report both their weekly earnings in $1000 for January 2020 (group 1) and January 2021 (group 2). Assume that the weekly earnings are normally distributed. Only 10 businesses provided enough data to compute their average weekly earnings for two months. The groups are dependent. Use α = 0.01 to decide whether there is sufficient evidence that the pandemic reduced the average weekly earnings for small businesses. January 2020 January 2021 58.5 29.7 37.1 50.8 48.4 36.8 44.8 33.9 72.9 36.5 27.9 45.6 78.5 58.4 53.4 51.2 83.4 47 48.2 33.6 1) What are the correct hypotheses? H0: H1: 2) Based on the hypotheses, compute the following: Round answers to at least 4 decimal places. The test statistic is = The critical value is =…
A researcher has developed a new drug designed to reduce blood pressure. In an experiment, 22 subjects were assigned randomly to the treatment group and received the new experimental drug. The other 24 subjects were assigned to the control group and received a standard, well-known treatment. After a suitable period, the reduction in blood pressure for each subject was recorded. A summary of these data is: nn x¯x¯ ss Treatment group (new drug) 22 23.48 8.01 Control group (old drug) 24 18.52 7.15 Without using software, how would you estimate the number of degrees of freedom for this problem? Select one: use the larger value, 23, chosen from the two options 21 and 23 use the smaller value, 22, chosen from the two options 22 and 24 use the larger value, 24, chosen from the two options 22 and 24 use the smaller value, 21, chosen from the two options 21 and 23
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 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.