3. Assume that a simple random sample has been selected from a normally distributedpopulation and test the given claim.In a study of the effects of prenatal cocaine use on infants, the following sample data wereobtained for weights at birth: n = 190, x=2650 g, s = 645 g. Use a 0.01 significance level totest the claim that weighs of babies born to cocaine users have a mean that is less that themean of 3103 g for babies born to mothers who do not use cocaine. Base on the results,does it appear that birth weights are affected by cocaine use?

Sample size n =190 Sample mean=2650 Standard deviation =645

Answered: 3. Assume that a simple random sample…

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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Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? E Click the icon to view the data table of the nicotine amounts. Nicotine amounts (mg) ..... Determine the null and alternative hypotheses. Но King-Size 100-mm Menthol 100-mm Nonmenthol 9 Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) H1 1 1.5 1 1.2 1 0.9 1.0 2 1.0 2 1.2 Find the F test statistic. 3 1.0 3 1.1 3 0.4 4 1.2 4 0.8 4 1.2 F = (Round to four decimal places as needed.) 5 1.4 1.3 1.1 6 1.3 1.4 0.7 Find the P-value using the F test…
Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? LOADING... Click the icon to view the data table of the nicotine amounts. Nicotine amounts (mg) Dialog content starts King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1 1.3 1 0.9 1 0.2 2 1.2 2 1.0 2 1.1 3 1.0 3 1.2 3 0.6 4 1.1 4 0.9…
Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below: a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. c. Reject the null hypothesis because the value of z is negative. d. Reject the null hypothesis because |−1.75|>0.04. e. Do not reject the null hypothesis because |−1.75|>0.04.
In a random sample of 925 plain M&M's, 19% were blue. Use a 0.01 significance level to test the claim of Mars, Inc. that 24% of its plain M&M candies are blue. a. Define the parameter A. p = The proportion of all M&M's that are blue B. mu = The proportion of all M&M's that are blue C. mu = The mean number of all M&M's that are blue D. p = The proportion of all M&M's that are not blue b. State the null and alternative hypotheses A. Upper H 0 : p greater than 0.24 Upper H 1 : p equals 0.24 B. Upper H 0 : p equals 0.19 Upper H 1 : p not equals 0.19 C. Upper H 0 : p equals 0.24 Upper H 1 : p not equals 0.24 D. Upper H 0 : mu not equals 0.24 Upper H 1 : mu equals 0.24 c. Calculate the test statistic. Which of these options is closest to the test statistic? A. negative 4.00 B. negative 3.65 C.…
A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of the study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 24 minutes 19 minutes 51 = 3.5 minutes 52 - 4.3 minutes ni = 30 n2 - 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal? Multiple Cholce Z = -4.94 tss = 4.94 Z = 4.94 t59 = -4.94
Two brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.
Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Click the icon to view the data table of the nicotine amounts. Determine the null and alternative hypotheses. Ho H₁: an example Get more help - THI O BI acer *** Nicotine amounts (mg) to King-Size 100-mm Menthol Brand Nicotine (mg) Brand Nicotine (mg) 1 1 2 2 3 ^ 4 5 6 7 8 9 10 1.4 1.0 1.0 1.1 1.4 1.1 1.3 1.0 1.3 1.2 2 3 4 5 3 6 7 8 9 10 Print 1.1 0.9 1.1 0.8 1.2 1.4 0.9 1.2 1.4 0.8 100-mm Nonmenthol Brand Nicotine (mg) 1 2 Done 3 4 5 6- 8 9 10 0.9 1.1 0.5…
. 3. A researcher is interested in knowing if preterm infants with late metabolic acidosis and preterm infants without the condition differ with respect to urine levels of a certain chemical. The mean levels, standard deviations, and sample sizes from the two samples are given below. Assuming that the populations have equal variances: a. Fill in the missing pieces of the Stata output. ttesti 38 8.5 3.5 32 6.85 2.6 X y Two-sample t test with A variances combined diff Obs Ho: diff=0 38 32 Sample With condition 70 diff mean(x) n 38 Without condition 32 Ha: diff |t|) = F [95% Conf. Intervall 7.349579 5.9126 6.98079 .1552544 t = degrees of freedom = 9.650421 7.7874 8.510638 3.144746 E b. What is the conclusion of your test? c. Use this output to construct a 99% confidence interval for the difference between the two means. 68 Ha: diff0 Pr(Tt) = 0.0155
In 1908, William Gosset published the article "The probable Error of a Mean" under the pseudonym of "Student". He included the data listed below for two different types of corn seed that were used on ad jacent plots of land. The listed values are the yields of head corn in pounds per acre. Use a 0.10 significance level to test the claim that the mean difference in yield between the two types of seed is 0. Regular 1903 1935 1910 2496 2108 1980 2060 1444 1612 1316 1511 Kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 a. Define the parameter A. mu Subscript d Baseline equals Mean of (Regular yield - Kiln dried yield) B. mu Subscript d Baseline equals Mean of the Regular yield C. mu Subscript d Baseline equals Mean of the Kiln dried yield D. mu equals Mean yield b. State the null and alternative hypotheses…
It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.
In a study of birth order and intelligence, IQ tests were given to 18- and 19-year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and secondborn sons. The following data for 10 firstborn sons and 10 secondborn sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. Can you conclude that the mean IQ of firstborn sons is greater than the mean IQ of secondborn sons? Let μ1 denote the mean IQ of firstborn sons and μ2 denote the mean IQ of secondborn sons. Use the α = 0.01 level and the P-value method with the table. Firstborn 128 101 128 112 121 105 122 98 106 108 Secondborn 121 125 110 107 114 93 80 94 91 83 Part(a): State the appropriate null and alternate hypotheses. H0: H1: This is a _____…

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