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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B. H0: P OR μ H1: P OR μ C. T or z statistic
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The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 590 peas with 174 of them having yellow pods. Find the value of the test statistic. The value of the test statistic is _________________________. (Round to 2 decimal places)
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Automobile Ownership A study was done on the type of automobiles owned by women and men. The data are shown. At α=0.01, is there a relationship between the type of automobile owned and the gender of the individual? Use the critical value method with tables. Luxury Large Midsize Small Men 10 17 19 23 Women 41 33 29 28 State the hypotheses and identify the claim. H0: The type of automobile is ▼(Choose one) the gender of the owner. ▼(Choose one) H1: The type of automobile is ▼(Choose one) the gender of the owner. ▼(Choose one) Find the critical value. Round the answer to at least three decimal places. Critical value= Compute the test value. Round the intermediate and final answers to at least three decimal places. X2= Make the decision. ▼(Choose one) the null hypothesis. Summarize the results. There is ▼(Choose one) that the type of automobile is dependent on the gender of the owner.
review(31a) MAKE SURE YOU SELECT TWO ANSWERS FOR THIS QUESTION.. Type of test and hypotheses. Professor dill wonders if male and female earn significantlly differnent grades, when taking the same course with the same instructor. He randomly samples 160 males. and 100 females. The males receive 20 A's, 32 B's 70 C's 30 D's, anf 8 F's.The female receive 20'A's, 28 B's, 30 C's, and 10 D's. and 12 F's; His hypotheses is that gender and grades are related. Choose the type of test you should choose to test the hypotheses in symbol notation( or in words if symbol is not appropriate) (a) Z test (b)single sample t test (c)dependent t test (d) independent t test (e) Pearson correlation coeffieient. (f) ANOVA (g) chi Square goodness of fit test (h)Chi Square test of independence (i) Ho: u1-u2=0 H1: u1-u2!=0 (j) Ho: u1-u2 =0 H1:u1-u2<0 (k) Ho: u1-u2 >= 0 H1: u1=u2<0 (l) Ho : Rho=0 H1: Rho!=0 (m) Ho: Rho >= 0 H1: Rho <0 (n) Ho:Rho <= 0 H1: Rho >…
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Using an ANOVA TABLE, (i) Calculate the test statistic (ii) Find P-value or rejection region. Use alpha = 0.05 (iii) State your conclusion in the context of this problem. Do we reject Ho?
Percentage of 18-10 r olds living Refer to the figure at the right. At a= 0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? ASsume the survey included a random sample of 270 men and 278 women, in parents 70, 60,4% 45% 54.6% 50.3% 2000 2012 Men I Women Identify the null and alternative hypotheses. Choose the corect answer below. O B. Ho: P, # P2 H: P1 =P2 VA. Ho: P1 = P2 Ha: PP2 OD. Ho: P, > P2 H: P1 SP2 OC. Ho: P1 P2 Find the critical value(s). The critical value(s) is(are) t1.65. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. z= (Round to two decimal places as needed.)
Test the claim that the proportion of people who own cats is larger than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p=0.5 H1:p>0.5 The test is right tailed Based on a sample of 100 people, 51% owned catsThe p-value is: (to 2 decimals)

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