MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- You wish to test the following claim (Ha) at a significance level of a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?arrow_forwardYou are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.6.With H1 : p ≠ 0.6 you obtain a test statistic of z=-2.971.Use a normal distribution calculator and the test statistic to find the P-value accurate to 4 decimal places. It may be left-tailed, right-tailed, or 2-tailed. P-value=arrow_forwardA sample of size 5 was collected from an unknown population 15 15 16 16 17 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 5 -1.2 -0.5 0 0.5 1.2 -1 19 18 normal O not normal Clear All Draw: 17- 16- 14 T 15- رها 1 2 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?arrow_forward
- You wish to test the following claim (H.) at a significance level of a = = 0.02. H.: 41 Ha: µ1 – µ2 > 0 You obtain a sample of size ị the first population. You obtain a sample of size n2 of s2 57.2 and a standard deviation of s1 85 with a mean of 2 65 with a mean of x1 17.2 from 54.7 and a standard deviation 7.1 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value =arrow_forwardTF.17 The average number of UHD TVs sold daily at a Best Buy store is known to be 28 and approximately normally distributed. A random sample of 21 days shows sample mean x̄ = 31 with standard deviation s = 7.7. Test the hypothesis Ho : μ = 28 against Ha : μ ≠ 28 at α = 0.10 and at α = 0.05 levels of significance. Use t-distribution.arrow_forwardThe output below is for a t-test for the hypothesis: Individuals living in bad neighborhoods commit more crime than those living in good neighborhoods. The data in the Group Statistics section provides you with the average number of crimes committed by individuals living in good and bad neighborhoods and the standard deviation of this same variable. The findings of significance are located in the Independent Samples Test section. Pay particular attention to the "t" column and the "Sig (2-tailed)"column. The "t" column is the t value that you would have calculated by hand (as we learned in class). The "Sig (2-tailed)"column provides you with the p value (the level of significance of this relationship). In this column, any value below .05 indicates that you would have rejected your null hypothesis. 1. Can someone tell me about the relationship of all these data? I'm trying to determine if my hypothesis, listed below, can be proven or disproven? 2. What is the independent variable and…arrow_forward
- A sample of size 8 was collected from an unknown population 0 1126 10 11 20 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 5 -1.2 -0.5 0 0.5 1.2 Clear All Draw: 22- 2 not normal normal 19 # 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?arrow_forwardYou wish to test the following claim (H.) at a significance level of a = 0.001. For the context of this problem, Ha = 42 - 4i where the first data set represents a pre-test and the second data set represents a post-test. H.: Hd = 0 Ha:Ha + 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 40 subjects. The average difference (post - pre) is d = 2.8 with a standard deviation of the differences of sa = 19.9. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection…arrow_forwardOur environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.arrow_forward
- If a random sample of 17 homes south of a town has a mean selling price of $145,325 and a standard deviation of $4600, and a random sample of 22 homes north of a town has a mean selling price of $148,450 and a standard deviation of $5950, can you conclude that there is a significant difference between the selling price of homes in these two areas of the town at the 0.05 level? Assume normality. (a) Find t. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your answer to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis. There is significant evidence of a difference in means. O Fail to reject the null hypothesis. There is significant evidence of a difference in means. Fail to reject the null hypothesis. There is not significant evidence of a difference in means. O Reject the null hypothesis. There is not significant evidence of a difference in means.arrow_forwardQUESTION 12 In the video game Animal Crossing: New Horizons, you can catch and sell both fish and sea creatures. Alison learns that sea creatures sell for a mean of u = 3,345 bells with a standard deviation of o = 3,684 bells ("bells" is the currency in the game). Alison suspects that fish will sell for more money than sea creatures will, so she decides to conduct a hypothesis test at the a = 0.01 level with %3D %3D Họ: µ= 3,345 bells H1: p > 3,345 bells She finds a sample of 64 fish and computes their mean price to be 3,527 bells. a. Determine the standard error to the nearest thousandth. Ox = Work: b. Determine the z-score to the nearest hundredth. Z = Work: c. Identify the image below that best represents the standard normal curve you drew for this problem. A В Carrow_forwardYou wish to test the following claim (Ha) at a significance level of a = 0.01. For the context of this problem, µa = u2 – Hi where the first data set represents a pre-test and the second data set represents a post-test. 0 + Prl :®H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 4 subjects. The average difference (post - pre) is d = - 14.8 with a standard deviation of the differences of sa = 49.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim…arrow_forward
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