Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 50 incoming freshmen to come to its offices to take Version 1, and it randomly selects 80 incoming freshmen to come take Version 2. The 50 incoming freshmen taking Version 1 score a mean of 112.8 points with a standard deviation of 16.2. The 80 incoming freshmen taking Version 2 score a mean of 117.2 points with a standard deviation of 18.5. Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean test score, μ₁, for Version 1 is less than the mean test score, μ₂, for Version 2? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H₀ and the alternative hypothesis H₁.H₀: □H₁: □(b) Determine the type of test statistic to use.F ▼ Degrees of freedom: dfn: □ dfd: □(c) Find the value of the test statistic. (Round to three or more decimal places.)□(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)□(e) Can we support the claim that the mean test score for Version 1 is less than the mean test score of Version 2?☐ Yes ☐ No[There is a calculator with statistical symbols and functions shown.]

Followings are the Explanation of the question Use the two sample independent test Given that,…

Answered: (a) State the null hypothesis H and the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.59 versus H: p<0.59 n= 150, x= 78, a=0.1 Is npo (1- Po) 2 10? O No O Yes Use technology to find the P-value. P-value: =(Round to three decimal places as needed.) because the P-value is V than a. Statcrunch
You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency A 10 B 16 C 8 D 20 E 14 What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places.)χ2=What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null accept the alternative As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. The sample data…
Inferential Statistics Are the M&M’s weights accurate? According to the package, each small bag of peanut M&M’s should weigh 49.3 grams. To determine if the bag weights are on target, use the weight of the bags of M&M’s and conduct a hypothesis test to see if the company’s claim is true. Using α = .05 and the five-step process, be sure to include your hypotheses and work. Calculate the corresponding confidence interval for the mean of the weights. Does your results and decision in this problem match the decision you made in Problem 5? Is the average number of orange M&M’s in a bag different from the average number of brown M&M’s? Conduct a hypothesis test at the α = .05 level to answer that question. The following data set includes information from 30 bags of M&M’s. For each bag, the count for each color is provided as well as the bag’s weight prior to it being open. Bag # Red Green Blue Orange Yellow Brown Weight 1…
Please help me with this one, show the step by step formula pls.
At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 44% of students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 165 students who visited the site looking for a roommate. Of the students surveyed, 57 said they found a match their first time using the site. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that the proportion, p, of all students who will find a match their first time using the site is 44%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho O 10 and n(1-p) 210 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p = 0.8 versus H₁: p > 0.8 n = 125; x = 105; α = 0.1 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo. Zo (Round to two decimal places as needed.) Identify the P-value. = P-value = (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. A. Do not reject the null hypothesis, because the P-value is less than a. B. Do not reject the null hypothesis, because the P-value is greater than α. C. Reject the null hypothesis, because the P-value is greater than a. O D. Reject the null hypothesis, because the P-value is less than α.
Resources One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 mnllinters (i) Or iguid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40 bottles and measures the volume of liquid in each bottle. What are the appropriate hypotheses for performing this significance test? Ho: = 180; H, # 180, where = the true mean volume of liquid dispensed by the machine. Ho: x = 180; H. # 180, where x = the sample mean volume of liquid dispensed by the machine. Ho = 180; H 180, where = the true mean volume of liquid dispensed by the machine. Ho: x = 180; H: x < 180, where x = the sample mean volume of liquid dispensed by the machine. O O
his K You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sb₁ = 1.4. a. What is the value of tSTAT? b. At the a=0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, B₁. e to search a. What are the hypotheses to test? A. Ho: B₁ = 0 H₁: B₁ #0 © C. Ho: P₁20 H₁: B₁ O OD. Ho: B₁ #0 H₁: B₁ = 0 fg 144 f10 84°F ^ @ fil *** 6464 Clear all h12 mportant Information ce Identification Cards. Two cards have been cle insured. Please destroy your old cards ecome effective. A law enforcement officer South Carolina law. The Insurance rovide this proof. that you have liability insurance meeting ons on the ID Card, only the are listed. For a full list of ease reference the Dri (page 7). omptly of any portant polic
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p=0.9 versus H1: p>0.9 n=200; x=190; α= 0.05 Calculate the test statistic, z0.
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Họ: H = 110 H: H > 110 Is the hypothesis test left-tailed, right-tailed, or two-tailed? O Right-tailed test Two-tailed test Left-tailed test What parameter is being tested? O Population standard deviation Population mean Population proportion
Living Arrangements A recent study of 100 individuals found the following living arrangement for men and women. The results are shown. Check the data for a dependent relationship at =α0.01. Use the critical value method with tables. Spouse Relative Nonrelative Alone Men 57 10 26 7 Women 43 6 28 23 Step 1: State the hypotheses and identify the claim with the correct hypothesis. One/Two tailed? Step 2: Find the critical value. Step 3: Compute the test value. Step 4: Make the decision. Step 5: Summarize the results.
Z-Test Z-Test Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α = 0.05. Inpt: Data Statsu #70 Ho:70 o:3.75 x:68.75 In:40 H:Ho Ho Ho Calculate Draw Choose the correct answer below. O A. Since the P-value is greater than x, fail to reject the null hypothesis. OB. Since the P-value is greater than x, reject the null hypothesis. OC. Since the P-value is less than x, reject the null hypothesis. O D. Since the P-value is less than x, fail to reject the null hypothesis. z=2.10818511 p=0.03501498 x = 68.75 n=40

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