In each of the following cases, do you think the sample size is large enough to use the normal distribution to make a test of hypothesisabout the population proportion? Explain why or why not.а.п %3D 40, р %3D 0.11b. n = 100, p = 0.73С. п 3D 80, р — 0.05d.n 3D 50, р 3 0.14Chapter 09, Section 9.4, Intelligent Tutoring Problem 053a. Find np.пр 3iDo you think the sample size is large enough to use the normal distribution to make a test of hypothesis about the populationproportion?

Answered: Image /qna-images/answer/872a94fe-2a4c-4af9-b77a-2983a7dfb8f9.jpg

Answered: In each of the following cases, do you…

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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Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
3). Two sample cases. A business major student is given a data set in Spread- sheet "Question 5": Sample 1 (x): 6.59 8.74 7.75 5.79 1.39 5.62 5.51 2.96 4.48 4.08 0.48 6.54 6.50 8.73 2.84 9.32 9.72 0.37 4.34 8.08 2.27 3.34 4.08 5.52 3.27 6.59 8.74 7.75 5.79 1.39 Sample 2 (y): 19.78 3.18 2.88 2.56 8.03 6.65 5.23 8.39 12.29 13.46 9.54 -0.36 1.62 3.54 -0.16 9.73 6.11 13.46 10.72 14.45 8.77 10.25 7.62 10.38 n=30, = x = 158.55, 21047.298, της 24, Συ= 188.11, Στ2 Σ Σ= = 2045.635. Assume that two populations are independent and normally distributed with means μ1, H2 and standard deviations 01, 02, respectively. (a) What is the point estimate of 1-2? What is the margin of error E associated with this estimate (use a = 0.05)? (b) Find 95% confidence interval for μ1 - 2. (c) Test Ho 1 μ2 = 0 vs H₁₁₂ <0 at a = 0.01.
Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been ? = 9.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day:12 6 11 12 5 0 27 8 7 6 3 12 12 I need help with (b) and the value of the sample test statistic
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
A) What is the mean difference score, MD? (Hint: fill in the difference column using TMS - minus - Sham) a. 4 b. 5 c. 20 d. 4.2 B) What is the sample variance, s2, for the difference scores? a. 7.2 b. -9 c. 8.5 d. 9
Violation of which assumption below for the two-factor ANVOA is not a cause for concern with large sample sizes? a. The populations from which the samples are selected must have equal variances. b. The populations from which the samples are selected must be normal. c. A violation of any assumption below would be a concern, even with large sample sizes. d. The observations within each sample must be independent.
1. Consider the golf ball example again using a completely randomized deign with a single factor (see section 10.2). However, this time we only hit each golf ball 5 times instead of 10 times. The golf balls are brands A, B, C, D. So, there are 4 brands, (4 treatments), and 20 sample distances. That is, k= 4 and n = 20. The data below gives the average distance means and standard deviations for the sample distances. Brand Sample Mean Sample Standard Deviations A 253.8 9.7570 263.2 5.4037 C 271.0 8.7178 262.0 7.4498 The average mean distance for all the 4 samples is 262.5 (this is x-bar). SST = 743.4 and SSE = 1023.6 Test the hypothesis that all the means are equal (this is the null hypothesis) against the alternative hypothesis that at least two means are different by doing the following: a. Calculate MST b. Calculate MSE С. Calculate F d. Using the table for F, find the rejection region e. Using alpha = 0.05, state whether you reject the null hypothesis or not.
Each of the boxplots shown summarizes 24 student scores on a recent test in two different classes. The boxplots are drawn using a common numerical scale. Which of the following must be true? 1. The lower 25% of Class B are much more spread out than the lower 25% of Class A 2. More people scored below the lower quartile for Class A than Class B 3. The distribution for Class B is skewed left and has a noticeable outlier as well, while the distribution for Class A is somewhat skewed right 4.Class A had more people between the median and the lower quartile than Class B. 3.The distribution for Class A is somewhat symmetric, while the distribution for Class B is skewed right with a noticeable outlier as well
Answer the following questions on the F test statistic. Complete parts (a) through (d) below. a. If s represents the larger of two sample variances, can the F test statistic ever be less than 1? 2 $2 OA. Yes, because the ratio will always be less than 1. $₁ O B. No, because the ratio O C. No, because the ratio will always be greater than 1. 2 S₁ 2 1 will always be greater than 1. $2 2 1 O D. Yes, because the ratio will always be less than 1. $2
Suppose that the time it takes a student to complete an assignment is normally distributed with mean 60 and variance 100 then the 65th percentile of the average time it takes a random sample of 36 students to complete the assignment is closest to O a. 61. O b. 59. O c. 66. O d. 64. O e. 56.
Use the data and table below to test the indicated claim about the means of two paired populations (matched pairs). Assume that the two samples are each simple random samples selected from normally distributed populations. Make sure you identify all values. The table below shows the blood glucose of 20 students before breakfast and two hours after breakfast, using a specific insulin dosing formula to cover carbohydrates. Is there compelling statistical evidence that the specific insulin dosing formula is effective in reducing blood glucose levels? Use a significance level of 0.05. We have the differences (gain or loss), but we still need to compute the mean, standard deviation, and know the sample size for the differences (use Excel or Sheets for this computation). Once those are found, we can apply methods that are used for a 1 sample t-test. Student Before Meal After Meal Difference 1 161 114 -47 2 196 88 -108 3 132 80 -52 4 175 96 -79 5 169 112 -57 6 138 137…

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