- A hypothesis is a statement ofbelief or assumption about thevalues of sample parameters.[ Select ]- In a trial comparing two diabetesdrugs, the alternative hypothesiscan claim that the fasting plasmaglucose mean is significantlylower for patients with theexperimental drug as comparedto the mean for patients with thecontrol drug.[ Select ]A Type I error occurs when onefails to reject the null hypothesiswhen it is true.[ Select ]

A hypothesis test contains the two hypotheses statements. Which are Null hypothesis : The null…

Answered: - A hypothesis is a statement of belief…

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 professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 29 non-accounting majors and 29 accounting majors are taken from a final exam. Test at the 1% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. Non-Accounting Accounting H₁:0² = 0² H₁:0² > 0² C. H₂:0² = 0² H₁:0² #0² nx = 29 ny = 29 S The critical value is X 2 represented by Ho and the alternative hypothesis is represented by H₁. Choose the correct answer below. OB. Ho: 0²20² H₁:0² <0² = 1611.016 = 446.238 2 OD. H₂:0² = 0² o H₁:0² <0² The test statistic is F = 3.610. (Round to three decimal places as needed.) (Round to two decimal places as needed.)
A UW Madison professor is interested in learning about the variance of grades for university students. The professor gathers the sample variance for a random sample of 50 students. From past experience, the professor knows that the population of students is normally distributed. The sample variance that is collected is equal to 80. The professor would like to infer at the 1% significance level that the population variance is less than 100? - State the appropriate null and alternative hypothesis. - What is the correct test statistic? - What is the conclusion of the test? - What would be the effect if the professor increased the sample size?
Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 373 positive signs, 333 negative signs, and 22 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference. Question content area bottom Part 1 Let η1 denote the median of the first variable and η2 denote the median of the second variable. What are the null and alternative hypotheses?
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 35 type K batteries and a sample of 44 type Q batteries. The type K batteries have a mean voltage of 8.56, and the population standard deviation is known to be 0.565. The type Q batteries have a mean voltage of 8.74, and the population standard deviation is known to be 0.307. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let µj be the true mean voltage for type K batteries and µ2 be the true mean voltage for type Q batteries. Use a 0.05 level of significance. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.
Research has shown that, for baseball players, good hip range of motion results in improved performance and decreased body stress. A research article reported on a study of independent samples of 40 professional pitchers and 40 professional position players. For the pitchers, the sample mean hip range of motion was 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 degrees, respectively. Assuming that the two samples are representative of professional baseball pitchers and position players, test hypotheses appropriate for determining if there is convincing evidence that the mean range of motion for pitchers is less than the mean for position players. (Use ? = 0.05. Use ?1 for pitchers and ?2 for position players.)
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.
4 - A company wants to estimate, at a 95% confidence level, the annual difference between male employees' average tardiness for work and female employees' average tardiness. For this, he randomly drew 12 from men and 10 from women. It was found that male employees' average annual tardiness time for work was 12 minutes and variance was 2 minutes, and female employees' average annual tardiness time to work was 10 minutes and variance was 3 minutes. Assuming that the population variances from which the samples are drawn are homogeneous, which of the following is the confidence interval estimate for the difference between these two population means? a) (4.6 ; 7.4) B) (0.04 ; 1.18) NS) (2.1 ; 3.2) D) (0.6 ; 3.4) TO) (1.6 ; 2.4)
You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.84. You use a significance level of a = 0.02. Ho:p = 0.84 Ha:p +0.84 You obtain a sample of size n = 700 in which there are 574 successes. 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 Do not reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.84. O There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from…
Assume that you have a normally distributed variable with known standard variance. How many standard errors do you need to add and subtract from the sample mean to obtain a 95% confidence interval?
Having done poorly on a particular exam in a junior high school, 24 students decide to write the exam again to try and improve their mark. Results are given in the following table. ITT Student Attempt 1 (A1) Attempt 2 (A2) Difference (d= A1 - A2) Average Standard deviation 24 55 3.0 24 58 4.4 24 -3.0 2.4 (a) Find an 80% confidence interval for the difference in mean scores between attempt 1 and attempt 2. (Round your answers to 4 decimal places, if needed.) (b) Based on this confidence interval, can we conclude there is a difference in mean scores between attempt 1 and attempt 2? O Yes, since the interval is completely below 0. O No, since the interval contains 0. O Yes, since the interval contains 0. O No, since the interval is completely below 0.
True or false: To construct a confidence interval about a population variance or standard deviation, either the population from which the sample is drawn must be normal, or the sample size must be large.

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