For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology outputshows that the hypothesis test has power of 0.4592 of supporting the claim that µ< 6 hours of sleep when the actualpopulation mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of ß and interpret thatvalue.Interpret this value of the power....A. The chance of failing to recognize that µ = 4.0 hours is not very high when in reality μ = 4.0 hours.B. The chance of failing to recognize that μ< 6 hours is not very high when in reality μ = 4.0 hours.C. The chance of recognizing that μ< 6 hours is very high when in reality μ = 4.0 hours.D. The chance of recognizing that μ< 6 hours is not very high when in reality μ = 4.0 hours.H OA. The value =indicates that there is a greater than 50% chance of incorrectly recognizing that μ< 6 hourswhen in reality μ = 6 hours.OB. The value =indicates that there is a less than 50% chance of incorrectly recognizing that µ< 6 hours whenin reality μ = 6 hours.OC. The value ß=indicates that there is a greater than 50% chance of failing to recognize that u < 6 hours whenin reality μ = 4.0 hours.indicates that there is a less than 50% chance of failing to recognize that μ< 6 hours when inOD. The value =reality = 4.0 hours.

Here given , For a hypothesis test of the claim that the mean amount of sleep for adults is less…

Answered: For a hypothesis test of the claim that…

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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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 25 29 30 35 39 28 24 320 28 27 36 35 26 24 28 25 25 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? Ο Α. Hρ: μ2 31 О В. Но: и 31 O D. Ho: µ> 31 O E. Ho: H= 31 Hạ: u# 31 OF. Ho: µ= 31 H3: us31 Hại u< 31
A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
In a poll of 1500 adults in July 2010, 780 of those polled said that schools should ban sugary snacks and soft drinks. Complete parts a and b below. 1. Find the value of the test statistic z. z = _____ (Round to two decimal places as needed.) 2. Find the value of the corresponding p-value for this test statistic z. p-value = _____ (Round to three decimal places as needed.) 3. Do you reject or not reject the null hypothesis? 4. b. Choose the best interpretation of the results you obtained in part a.
A researcher wants to know whether children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this, a researcher obtains a sample of n = 36 children (ages 8 to 12 years) who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average for the sample is M = 4.9 hours/day. Assume that the average TV-watching time for the general population of 8-to-12-year-old children is µ = 4.1 hours/day with σ = 1.8. Is ADHD in children associated with an increased amount of TV-watching?
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24
Approximately 58% of all people are able to wink with both eyes. Is this percent different for people who wear glasses? A researcher tests 319 people who wear glasses and found that 204 could wink with both eyes. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two dependent population means t-test for the difference between two independent population means The null and alternative hypotheses would be: H0:H0: Select an answer μd p1 p μ1 μ Select an answer ≥ = ≠ ≤ H1:H1: Select an answer μ μ1 p p1 μd Select an answer < ≠ > = The test statistic ? z t = (round to 3 decimal places) The p-value = (round to 4 decimal places) The p-value is ? > ≤ αα. Based on this, we should Select an answer accept reject fail to reject the null hypothesis. Explain…
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A mean function E(Y IX = x) tells us: the probability of observing the value Y. O whether or not to reject the null hypothesis. how much data we need to collect. how the expected value of Y changes as X varies.
Average speed on a freeway is 80 mph. Among all vehicles 65% drive 8 miles above the speed limit of 70 mph. 34 What fraction drive within ± 5 mph from the mean speed? a 0.7327 b 0.6978 c 0.6646 d 0.6330
A researcher investigated the number of days patients spend at a hospital. Patients were randomly selected from four regions and the number of days each patient spent at a hospital was recorded. At α=0.05, can the researcher reject the claim that the mean number of days patients spend in the hospital is the same for all four regions? A. Identify the degrees of freedom for the numerator and for the denominator, determine the critical value. B. Calculate the Test Statistic
A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Female Driver -0.1 0.4 1.1 0.7 1.1 1.2 0.1 0.9 0.5 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use males - females: Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t= df = P = Male Driver 1.4 1.2 0.9 2.1 0.7 1.3 3 1.3 0.6 2.1 (b) Do…

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