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 testing has been done for a chemical in the local water with readings of 3.1, 5.2, 1.2, 5.1,…

A: x x2 3.1 9.61 5.2 27.04 1.2 1.44 5.1 26.01 4.9 24.01 2.3 5.29 6.1 37.21 1.4 1.96…

Q: In a study of 49 countries, the sample correlation between an index of political turmoil an the…

A: Answer Given The sample size [n] = 49r = 0.47

Q: ur environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A sample of 6400 cases is drawn at random from a large population. The Variance is 100. Calculate…

A: Sample size, n = 6400 Variance = 100 Standard deviation = VarianceStandard deviation = 100Standard…

Q: An office manager claims that the mean time required to handle a customer complaint is less than 30…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…

A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…

Q: The height of women ages 20-29 is normally distributed, with a mean of 63.9 inches. Assume o = 2.8…

A: GIVEN: The height of women ages 20-29 is normally distributed with mean 63.9 inches and standard…

Q: (a) The mean height of all adult American males is 69 inches (5 ft 9 in). A researcher wonders if…

A: We have to find out hypothesis..

Q: State the null and alternate hypotheses (write it mathematically) andwrite your claim.   Find the…

A: x1 =473x2 = 459 s1 = 39.7s2 =24.5 n1 = 8n2 =18

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: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Sample 1 (n = 6) from population 1 has a mean of 42.00 and a variance of 29.00. Sample 2 (n = 8)…

A: The given summary statistics are as follows:

Q: A normal population has mean u (unknown) and variance 0.018. A random sample of size 20 observations…

A:

Q: A random sample of size 225 is drawn from a population with mean 100 and standard deviation of 20.…

A: If repeated samples of size n is drawn from the population and the mean of each sample is computed,…

Q: A z-test is to be performed for a population mean. Express the decision criterion for the hypothesis…

A: Given that z test is conducted to test population mean. The mean time is 11.8 seconds and SD is 0.42…

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: Manama cement factory produces precast cement blocks, last year's record showed the mean weight per…

A: From the provided information, Mean (µ) = 95 Variance (σ2) = 6 Sample size (n) = 50 Sample average…

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 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 company claims that its product has a useful life of at least 34 months. You have the following…

A:

Q: ize 400 is taken from a population with a mean of 610 and a standard deviation of 15. Find the…

A: Given, n=400 Mean (μ) = 610 Standard deviation (σ) = 15

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

A: Let μ1 denotes the population mean of x1, and μ2 denotes the population mean of x2. The clam of the…

Q: SAT scores are normally distributed with a mean of 1,800 and a variance of 22,500. Given arandom…

A:

Q: A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study…

A: It is given that, Population variance is 1.44. The z-critical value for 85% confidence interval is…

Q: A nutrition store in the mall is selling "Memory Booster," which is a concoction of herbs and…

A: Solution: Given information: n= 16 Sample size M= 24  Sample mean μ= 20  Population meanSS= 960 sum…

Q: In the African savannah, elephants like to eat very young trees. Imagine that, in a section of the…

A:

Q: A simple random sample of 100 water meters within a community is monitored to estimate the average…

A: Introduction: It is required to estimate the true mean of daily water consumption.

Q: . Do the sample data support the conclusion that the Memory Booster has a significant "booster"…

A: Answer:-  Our hypothesis is, H0 : u=20   vs   H1 : u>20 Given that, n=16 xis 26 Variance=64…

Q: You are comparing the variability of two groups of data to see if they come from the same…

A: Solution: From the given information, level of significance is 0.05, the two sample sizes are 11 and…

Q: Experience has shown that the weight of apples produced by an orchard is normally distributed, with…

A:

Q: The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the…

A: Introduction: In this case, two independent groups of individuals- younger and older adults are…

Q: A survey was conducted to study the height of people from IBRI and NIZWA. The results are shown…

A:

Q: Do men take a different amount of time than women to get out of bed in the morning? The 45 men…

A: We have given that,  (x-bar)1= 6.1 ,  S1= 5.6,   n1= 45 And (x-bar)2= 6,    S2= 5,        n2= 42

Q: An ecologist is studying the impact of local polluted waters on the growth of alligators. The length…

A: Length of adult male alligators follows a normal distribution with µ and standard deviation 2. n…

Q: The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the…

A: Note: According to the guidelines, since there are more than 4 subparts, we will answer the first…

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A:

Q: A researcher uses an analysis of variance to test for mean differences among three treatments with a…

A: According to the given information, we have Given that a researcher uses an analysis of variance to…

Q: The t test for the mean difference between 2 related populations assumes that the  population…

A: The question is asking about the assumptions that are made when conducting a t-test for the mean…

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.