A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05.     Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 42 44 54 55 65 50 46 43 Exit failures 47 50 57 60 58 46 55 48     (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (d) Find the p-value. (Round your answer to 4 decimal places.)

Q: A sample is selected from a population with µ = 50. After a treatment is administered to the…

A: Given, µ = 50 M = 55 s2 = 64  s = 8

Q: A manufacturer of flashlight batteries claims that the average life of her batteries is larger than…

A: a)   H0: µ = 400 Ha: µ > 400 This is right tailed test. Using calculator, X̅ = 473.4615 , S =…

Q: In a clinical trial, 18 out of 864 patients taking a prescription drug daily complained of flulike…

A: In the given case we are determining whether the assumptions of the t-test are met by the given…

Q: In a clinical trial, 27 out of 875 patients taking a prescription drug daily complained of flulike…

A:

Q: In an experiment on immunization of cattle from tuberculosis, the following results were obtained:…

A: The null hypothesis for testing is defined as, H0​: Effect of vaccine is preventing the incidence of…

Q: In a clinical trial, 22 out of 852 patients taking a prescription drug daily complained of flulike…

A: Given that, x = 22, n =852

Q: If the null and alternative hypotheses can be used to decide whether the new filtration system could…

A: Let μd is defined as the population mean difference between current filter and new filter. The claim…

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A: The sample size is n=105 The number of favorable cases x=47 The sample proportion is…

Q: The data indicates that women in the tech industry (M = 7.26) rated intelligence as a more desirable…

A: A sample size is a part of the population chosen for a survey or experiment. Sample size…

Q: In a clinical trial, 22 out of 891 patients taking a prescription drug daily complained of flulike…

A: We have to check requirement of hypothesis testing.

Q: In a large department store, the owner wishes to see whether the number of shoplifting incidents per…

A: ]hypothesis  H0 : Mbefore =MafterH1 : Mbefore ≠ Mafter   before after  diff abs diff rank  7 5…

Q: A sample is selected from a population with μ= 50. After a treatment is administered to the…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: In a test of H0: p = 0.8 against H1: p ≠ 0.8, a sample of size 1000 produces Z = 2.05 for the value…

A: Null Hypothesis H0: p = 0.8  Alternate Hypothesis H1: p ≠ 0.8Alternate Hypothesis suggests that the…

Q: A car company claims that their Super Spiffy Sedan averages 31 mpg. You randomly select 8 Super…

A: From the given information, Sample size n =8 Using EXCEL function, “=AVERAGE(A1:A8)”, the Sample…

Q: A nutritionist compared the effectiveness of an online diet program to that of an inperson diet…

A: The control group (in-person) lost a mean of 18.00 pounds (s = 14.50, n = 16) and the experimental…

Q: A manufacturer of flashlight batteries claims that the average life of her batteries is larger than…

A: Given data is342,426,317,545,264,451,1049,631,512,266,492,562,298Mean(x)=sum of the data settotal…

Q: In a clinical trial, 18 out of 820 patients taking a prescription drug daily complained of flulike…

A: The given data is, x=18, n= 820 , p0=0.017, α =0.01 The hypothesis is, H0: p=0.017 VS H1: p >…

Q: A travel agency is interested in finding out if different age groups frequent different Spring Break…

A: Chi-Square Analysis A chi-square statistic is a method for testing how well a model matches actual…

Q: In a completely randomized experimental design, three brands of paper towels were tested for their…

A: Anova: Single Factor                   SUMMARY         Groups Count Sum Average Variance x 4…

Q: In a completely randomized experimental design, three brands of paper towels were tested for their…

A: The random variable is ability to absorb water. There are 3 independent samples which are 3 brands…

Q: In a clinical trial, 27 out of 845 patients taking a prescription drug daily complained of flulike…

A:

Q: In a clinical trial, 23 out of 870 patients taking a prescription drug daily complained of flulike…

A: Givenn=870x=23p^=xn=23870=0.0264α=0.01

Q: In a clinical trial, 18 out of 864 patients taking a prescription drug daily complained of flulike…

A: Here we have to fill the boxes from given information

Q: 4) The results of a random sample of children with pain from musculoskeletal injuries treated with…

A: Given that  Two varaibles: Improvement and treatment We have 2×3 contingency table  The data is…

Q: A researcher conducts an independent-measures study comparing two treatments and reports the t…

A: Solution: Given information: Test statistic t(25) = 2.071 α=0.05  Level of significance

Q: Are yields for organic farming different from conventional farming yields? Independent random…

A: 1- denotes method A 2 – denotes method B

Q: A firm in Lebanon has developed a chemical solution that can be added to car gasoline which they…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In a clinical trial, 16 out of 857 patients taking a prescription drug daily complained of flulike…

A: We have to find given conditions.

Q: The owner of a hair salon is curious about the relationship between the amount of hair cut and the…

A: Let ρ denotes the population correlation between the amount of hair cut and the amount of money…

Q: 9. A study was conducted to determine if the proportion of cars in a given area that do not meet…

A: here given  H0 : P=0.08 H1 : P≠0.08 α=0.05

Q: Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores.…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(t obs, df…

Q: Traffic accidents: Traffic engineers compared rates of traffic accidents at intersections with…

A:

Q: Consider that a random sample of size 12 was selected from a normal population distribution. 105.6…

A: From the provided information, Sample size (n) = 12 The mean and standard deviation of the sample…

Q: A sample is selected from a population with population mean = 50. After a treatment is administered…

A: μ=50 M = 55 s2 = 64 n = 36 α = 0.05

Q: In a survey of 460   drivers from the​ South, 397   wear a seat belt. In a survey of 340…

A: Given Information: Number of drivers surveyed from south, n1 =460. Number of drivers who wear seat…

Q: A researcher conducted a t-test for independent samples to evaluate the mean difference between two…

A:

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given: n=22s2=1.35α=0.05

Q: Are sexually active teenagers any better informed about AIDS and other potential health problems…

A: Consider that, µ1, µ2, and µ3 define the mean number of teens who are sexually inactive, sexually…

Q: 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects…

A:

Q: In a clinical trial, 18 out of 842 patients taking a prescription drug daily complained of flulike…

A: There is always some contention about the value of a parameter or the relationship between…

Q: A sample is selected from a population with μ= 50. After a treatment is administered to the…

A: One sample t-test is determine statistical difference between unknown population mean and sample…

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A scrap metal dealer claims that the mean of his cash sales is 'no more that R80', but an Internal…

A: Solution: The given claim is that mean cash sales is no more than R80. From the given information n=…

Q: Concerned about the initial monitoring data, the environmental action group decides to continue to…

A: From the output, it can be observed that the sample size (n) is 26.

Q: A nationwide study of undergraduate students reported that the mean number of drinks consumed per…

A: Given, Degrees of freedom is obtained as: The hypothesis to be tested here is: This is a right…

Q: In a clinical trial, 16 out of 857 patients taking a prescription drug daily complained of flulike…

A:

Q: An experiment compares two treatment conditions with a sample of n = 20 in each treatment. If the…

A: Solution:-  We have given that  Sample size n = 20 and two treatment.

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A: The study is to check whether women are just as likely to attend orientation as men before they…

Q: A District manager kept track of the sales of 14 stores before the start of an advertisement…

A: The appropriate test is Paired sample t test, it is used to determine whether the mean difference…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.