A manager will switch to a new technology if the production process exceeds 80 units per hour. The manager asks the company statistician to test the null hypothesis: H0: μ = 80 against the alternative hypothesis: H1: μ >80 If there is strong evidence to reject the null hypothesis then the new technology will be adopted. Past experience has shown that the standard deviation is 8. A data set with n = 25 for the new technology has a sample mean of 83. Does this justify adoption of the new technology?

Q: Suppose you are testing whether the lifetime of 4 different types of lightbulbs. You run 5…

A: From the provided data we have, MSE = 1.75 dft = 4×5 = 20 dfw = 20-4 = 16 k = number of groups = 4…

Q: Range anxiety is one of the reasons consumers are reluctant to switch to an electric vehicle, and…

A: Given information: x 89 90 91.5 92 92.5 95 95.5 96 93 93.5 94 94 91…

Q: test the performance of filling machines. The machine is designed to discharge a mean of 100 gr of…

A: As the population standard deviation is not known, we will use t distribution. The following null…

Q: Suppose you could take all possible samples of size n = 25 from a Normal population with mean μ = 50…

A: Given that a sample of size n = 25 is drawn from a normal population with mean μ = 50 and σ = 5.

Q: To determine if the means of three or more populations are equal, you should use : Select one: O a.…

A:

Q: One sample has n = 4 scores with SS = 100 and a second sample has n = 8 with SS = 140. What is the…

A:

Q: You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You…

A:

Q: For a two-talled test at 86.12% conndence with known population variance, the critical value of the…

A: Solution : Given : Confidence level = 86.12% and population variance is known. When population…

Q: 80% of a patient with a certain disease will be successfully treated with a new medical treatment.…

A: According to the given information, We have Probability = 80%=0.80Sample size = 40

Q: A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly…

A: Denote μ as the true mean amount to which the machine fills the bags at the 430 gram setting.

Q: A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who…

A: We are conducting the z test for two proportion test in this given scenario and the complete…

Q: How strong should you build a nuclear reactor? You need it to withstand earthquakes, but there is a…

A: Given: Define, X:Number of high magnitude earthquakes per year.µ0=4Sample mean(x¯)=1.25Sample…

Q: A data set from a study that examined the effect of a specific diet on blood pressure is below.…

A: Given Information : A data set from a study that examined the effect of a specific diet on blood…

Q: Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires…

A:

Q: What is the margin of error for a 99% CI for a mean, when the sample size is 12, the sample average…

A: Given: Sample size, n = 12 Sample mean, x = 52 Sample standard deviation, s = 13 It follows a…

Q: The data for an independent –measures research study produced a sample mean difference of 6 points…

A: Following information is given:

Q: Suppose you are interested in studying regional differences in crime rates.  You take a random…

A: Given that  Sample sizes n1=100 , n2=100 Sample mean x1 =55 , x2=50 Sample variance s12=5.78 ,…

Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's…

A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved…

Q: You are conducting a study to see if the proportion of voters who prefer Candidate A is…

A: Given data, Null hypothesis is Ho : p=0.37 Alternative hypothesis is Ha: p!=0.37 z=2.288 p-value=?

Q: Show that X is a sufficient estimator of the mean u of a normal population with the known variance…

A: X~N(μ,σ2)

Q: The results of a study that used an independent samples t-test was t(28) = 2.14, p = .01. Based on…

A: t(28) means that degree of freedom  = 28 Now, degree of freedom for a t-test one sample case  = n-1.

Q: You are testing the claim that having lights on at night increases weight gain (abstract). A sample…

A: Solution: First we find sample means and standard deviation.  x1=∑x1n1=67.3210=6.732…

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A:

Q: A sample of 46 observations gave sample mean 20 and coefficient of variation 0.6 Then the sample…

A: Given  n=46, Xbar=20, CV=0.6

Q: A sample of n = 25 scores has a mean of x̅ = 65 and an estimated standard error of sx̅ = 2 points.…

A: The standard error is 2 points.

Q: A population has a mean of 50, SD of 30. We have a sample with a mean of -10, sample size is 9. Does…

A: Denote μ as the population mean.

Q: The z-statistic for the difference between the tvlo sample proportions is 5.266 with a P- value of…

A: Given, Z-statistics = 5.266 p-value = 0.00000014 α=0.05

Q: Data is collected to compare two different types of batteries. We measure the time to failure of 10…

A: Given that, Mean1, X1 bar= 8.65 Mean2, X2bar=11.23 Variances are equal so standard deviations will…

Q: You take a sample of size 190 and get 23 successes. Confirm that the sample size was large enough to…

A: Given that Sample size (n) = 190  probability of success (p) = 23/190 = 0.12

Q: You have a sample size n=25 with observations that are independent and identically distributed, the…

A: Given that  Sample size is 25 and the observations are identically independently distributed. The…

Q: If a set of data is normally distributed with a mean of 20 and a variance of 16, a z-score of -3.8…

A: Let raw score is X.  Then Z Score is given by, Z= (X- mu)/sigma Where mu is mean  And sigma  is…

Q: A researcher wants to examine how a new intervention helps children learn to read. A random sample…

A: In the provided information, the one sample t-test will be used for measurement because it is used…

Q: A study of blood samples of 64 men shows a mean count of 5 million RBC per cubic ml., with a…

A: From the provided information, Mean of women (µ) = 4.5   Variance (σ2) = 0.13

Q: The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box,…

A: It is given that the match boxes are supposed to have an average of 40 matches per box with σ = 7. A…

Q: a sample of 60 grade 9 student age was obtained to estimate the mean age of all grade 9 students. x…

A: A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all Grade 9 students.…

Q: he margin of error for a 90% CI for a mean, when the sample size is 12, the sample average is 52,…

A: As the population standard deviation is known, we will use t distribution. Degrees of freedom =…

Q: A population of N = 6 scores has ΣX = 42. What is the population mean?

A: Given ,Population of N=6 scoresand Σx =42

Q: A sample has n = 16 scores,  a mean of M = 45 and has an estimated standard error of 4 points (sM  =…

A: Given information is  A sample has n = 16 scores, a mean of M = 45 and has an estimated standard…

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.