**Sick Days in Bed: A Hypothesis Testing Example**A researcher wishes to determine if the average number of sick days a worker takes per year is greater than 5. For this study, a random sample of 28 workers at a large department store showed a mean of 5.6 sick days with a standard deviation of 1.2. The goal is to assess if there is sufficient evidence to support the researcher's claim at a significance level of $ \alpha = 0.01 $. Assume the variable is normally distributed. Use the critical value method with tables.**Part 1 of 5**- **State the Hypotheses and Identify the Claim with the Correct Hypothesis:** \[ H_0: \mu = 5 \] (not claim) \[ H_1: \mu > 5 \] (claim) This hypothesis test is a **one-tailed** test.There is a progress bar for part 1 out of 5, currently full indicating completion.**Part 2 of 5**- **Find the Critical Value(s):** Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. **Critical value(s):** (Input box with placeholders, example suggests decimal precision expected).This educational example illustrates how to structure hypotheses testing for a mean, define the test directionality, and determine critical values using standard normal distribution tables.

Given Sample size n=28, population mean μ=5, sd =1.2 Level of significance ɑ=0.01

Answered: Sick Days in Bed A researcher wishes to…

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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Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 31 minutes and a standard deviation of 2 minutes, while method B has a mean of 35 minutes and a standard deviation of 1.0 minutes. (a) Which procedure is preferred if the procedure must be completed within 30 minutes? O Method A O Method B O Either Method (b) Which procedure is preferred if the procedure must be completed within 38.0 minutes? O Either Method O Method A O Method B (c) Which procedure is preferred if the procedure must be completed within 37 minutes? O Method B O Either Method O Method A < Prev 19 of 19 Next to search 22 立

The life of a butterfly is normally distributed with a mean of 50 days. You took a random sample of 25 such butterflies. The mean life for this sample is 47 days a standard deviation of 3 days. At α = 0.05. a. Test to see if the average life of a butterfly is different from 50 days. b. Your friend believes that the life of a butterfly is less than 50 days. Is she correct?
Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8. The instructor wants to give an A to the students whose scores were in the top 08% of the class (Provide your answer with two decimal places). Find the Z-score that is associated with the lowest possible score to get an A. What is the minimum score needed to get an A?
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
Assume that you have been provided the following information for a sample of cars The covariance between weight and miles per gallon is equal to -4.9 pound-miles. The standard deviation of the cars' mileages is 7.75. The standard deviation of the cars' weights is 0.94. Estimate the correlation coefficient to the first decimal place.
The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
Which procedure is preferred if the procedure must be complete in 26 minutes.
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 21 minutes and a standard deviation of 5 minutes, while method B has a mean of 25 minutes and a standard deviation of 25 minutes. (a) Which procedure is preferred if the procedure must be completed within 23 minutes? O Method A O Method B O Either Method (b) Which procedure is preferred if the procedure must be completed within 32.0 minutes? O Method A O Method B O Either Method (c) Which procedure is preferred if the procedure must be completed within 29 minutes? OMethod A O Method B O Either Method Next Prey 19 of 19 here to search op t9 144 14 ou ts 47 47 to 40 16 is 券

Colonial Funds claims to have a bond fund that has maintained a mean share price of $⁢10.00. They claim that the variance of the share price is 0.18. To test this claim, the investor randomly selects 29 days during the last year. He finds an average share price of $⁢9.80 with a standard deviation of 0.4006. Can the investor conclude that the share price of the bond fund varies from Colonial Funds claims at α=0.05? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
I attached.
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with μ = 514. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 520 with a standard deviation of 112. Complete parts (a) through (d) below. to = 1.04 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.)
The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days.In what range would you expect to find the middle 95% of most pregnancies?Between and .If you were to draw samples of size 55 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample?Between and .

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