Fear of heights - A psychologist has developed a new treatment for acrophobia (the extreme fear of heights) and wants to compare the results of thisnew treatment to the results of the standard treatment. A study is conducted where a random sample of 16 patients undergo the new treatment andtheir improvement scores on a diagnostic test are compared to a control sample of 13 patients who received the standard treatment. Summary scoresfor both groups are shown in the table below.Treatment Sample Mean Sample Standard DeviationNew50.912Standard47.211.4The degrees of freedom for this problem is d f26.287709.1. Select the hypotheses that should be used to assess if the new treatment results in higher average improvement scores than the standard treatment.А. Но : И1= µ2 vs. Ha : H1 # µ2OB. Ho : µ1 = µ2 vS. Ha : H1 < µ2ос. Но : Иј — И2 vs. Ha : Hi > H22. Calculate the test statistic.?V =3. Calculate the p-value.p-value =

Given Data : For Sample 1 x̄1 = 50.9 s1 = 12.0 n1 = 16 For Sample 2…

Answered: their improvement scores on a…

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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A clinical researcher knows from experience that average body temperature for aparticular group they are studying is μ = 98.2 degrees Fahrenheit and populationstandard deviation σ = 0.73 deg Fahrenheit. Simulate 1,000 values from thisdistribution in R assuming normality. Plot the histogram and derive the summarystatistics. Can you explain the result? Why is random sampling important instatistics?
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The following sample data are from a normal population: Sample size (n) = 25, Sample mean=14, Sample standard deviation=3.6 With 95% confidence, what is the margin of error for the estimation of the population mean?
1. Depression scores (1-100) for young women (20-40 years old) are assumed to be normally distributed with a mean of 75.5 within the population. A sample of 26 women were recruited to have their depression scores recorded and the mean score was 82, with a standard deviation of 12. Researchers want to know if the sample data reflects a population with mean score of 75.5. Using a significance level of 0.01, answer the following questions. (a) What statistical test should the researchers conduct? Why? Explain your answer. (b) State the hypotheses for this scenario. (c) Conduct a hypothesis test based on question 1(a) to determine what the researcher should conclude from this study. Give your answer to two decimal places. (d) Suppose you obtained several random samples each with n = 100 women and each time you obtained their depression scores. Is it reasonable to assume that the sample means of these samples xx are approximately Normally distributed even though the population distribution…
“The average production of corn in the Philippines is 3,000 kgs. A new plan for food has been developed and is tested on 60 plots. The mean yield with the new plan on food is 3,200 kgs with a standard deviation of 600 kgs. At α = 0.05 level of significance, can you conclude that the production increased?” What test statistic is to be used on the given problem? a. t-test b. z-test c. left-tailed test d. right-tailed test
In a test of effectiveness of garlic for lowering cholesterol, 44 subjects were treated with garli in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (inmg/dL) have a mean of 3.9 and a standard deviation of 15.6. What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? The best point estimate is mg/dl? Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? What is the confidence interval estimate of the population mean u?
Two accounting professors decided to test if the variance of their grades is different or no. To accomplish this, they each graded the same 10 exams with the following results: Standard Deviation 22.4 Mean Grade Professor 1 79.3 Professor 2 82.1 12.0 F What is the P-value of the test? Select one: a. between 0.01 and 0.025 Ob. between 0.025 and 0.05 C. between 0.05 and 0.10 Od. bigger than 0.10
Big babies: The National Health Statistics Reports described a study in which a sample of 96 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance and the P -value method and Excel. Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 (a)State the appropriate null and alternate hypotheses. H0 : =μ25 H1 : >μ25 This hypothesis test is a ▼two-tailed test. Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b)Compute the value of the test statistic. Round the answer to at least three decimal places.…
In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 35 tasters were asked to rate their satisfaction with two different sauces on a scale of 1 to 10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.25944 with a standard deviation of sd = 1.53990. Use α = 0.05. b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c) Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.) (d) Find the p-value. (Round your answer to 3 decimal places.)
In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.2 and a standard deviation of 1.76. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
An investigation of the relationship between traffic flow (measured in cars per day) and lead content (measured in micrograms per gram of dry weight) in the bark of trees near the highway yielded the following summary statistics: Sample Mean Sample Standard Deviation Lead Content (micrograms per gram dry weight) y¯=y¯= 680 sysy = 240 Traffic Flow (cars / day) x¯=x¯= 1750 sxsx = 800 The correlation between lead content and traffic flow was found to be r = 0.6 and a scatterplot showed the form to be linear. Since Traffic flow is the X-variable, its mean and standard deviation have been labelled x¯ and sxx¯ and sx. Since Lead content is the Y-variable, its mean and standard deviation have been labelled y¯ and syy¯ and sy . Determine slope and y-intercept of the least squares regression line for using X to predict Y. Group of answer choices Slope y-intercept
Big babies: The National Health Statistics Reports described a study in which a sample of 320 one-year-old baby boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a 0.01 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

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