(III)partially correct(a) The alternative hypothesis: Your answer is incorrect.A new sleeping pill is advertised that increases the daily sleep time of insomniacs by an average of2.8hours, with a variance of0.25.A government group isconducting an independent study on the new pill to see if thevariance, o², of increased sleep time is different from the advertised variance. The governmentgroup testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with avariance of0.08. Is there sufficient evidence, at the level of significance of0.01, to reject the claim made in the ad? Assume that the increases in sleep timesobtained with the new pill follow an approximately normal distribution.Perform a two-tailed test. Then complete the following.Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.)μO188S(to) Formulate the null hypothesish and the alternative hypothesishhh012: 0= 0.252 # 0.25: 01.XI0р

We have given that sample size (n)=15sample variance(s2,)=15 The population variance() = 0.25

Answered: A new sleeping pill is advertised 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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Number 14
The length of an injection-molded plastic case that holds magnetic tape is normally distributed with a length of 90.3 millimeters and a variance of 0.01 millimeter2. What is the probability that a part is longer than 90.5 millimeters or shorter than 89.6 millimeters?
In 2003, Major League Baseball took steps to speed up the paly of baseball games and make games a more consistent duration. In a sample of 46 games in 2002, the average duration of a game was 2 hours and 58 minutes with a standard deviation of 37 minutes. A similar survey in 2003 of 54 games found that the average duration was 2 hours and 40 minutes with a standard deviation of 22 minutes. When testing the hypothesis (at the 5% level of significance) that the variance has been reduced, what is the test statistic? (please round your answer to 2 decimal places)
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 6060 type I ovens has a mean repair cost of $77.22$⁢77.22, with a standard deviation of $22.46$⁢22.46. A sample of 6565 type II ovens has a mean repair cost of $73.73$⁢73.73, with a standard deviation of $10.62$⁢10.62. Conduct a hypothesis test of the technician's claim at the 0.10.1 level of significance. Let μ1μ1 be the true mean repair cost for type I ovens and μ2μ2 be the true mean repair cost for type II ovens. Step 2 of 4 : Compute the value of the test statistic. Round your answer to two decimal places.
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 7 plants using electricity, which had a mean cost per unit of $36.41 and standard deviation of $8.53, and 13 plants using gas, which had a mean of $46.50 and standard deviation of $8.60. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that u, the mean cost per unit for plants using electricity, differs from H,, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)…
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Hi, I'm stuck with question 2. Question 1 given the example for this question
The student will conduct a test of a single variance. Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes. A sample standard deviation of 15 minutes is the same as a sample variance of ["", ""] minutes. find the a. Degrees of freedom = ["", ""] b. Chi2 test statistic = ["", ""] c. p-value =
A study was conducted by Grade 11 STEM students to investigate the health hazards of working long hours in front of a computer or word processor video displays. It found out that it took an average of 2.6 hours before a certain symptom of eye strain developed. If a similar experiment done by Grade 12 STEM students using a sample of 15 people had a mean of 2.8 hours, with standard deviation of 1.25 hours, would this indicate that the G11 STEM students results are different with the G12 STEM students results? Use 5% level of significance. Using the appropriate formula, what is the computed test statistic? (Input your answer using 3 decimal places, example: 1.234 if positive or -1.234 if the answer is negative) *
A study is conducted to determine the effectiveness of mental exercises on short-term memory. A randomized comparative experiment is conducted and the number of items recalled on a short-term memory test is recorded for 25 individuals who practiced mental exercises and 35 individuals who did not. The individuals who practiced mental exercises recalled 16.0 items on average with a variance of 6.25. The individuals that did not do any mental exercises recalled 12.5 items on average with a variance of 7.29. Assuming the population of items recalled is Normal for each group, what is the standard deviation of the sampling distribution of the difference in mean items recalled for the two groups? (A) (B) (C) (D) (E) √6.25 +7.29 16.25 7.29 + V 25 35 √6.25-7.29 16.25 7.29 25 35 6.25 7.29 + 60 60
A manufacturer of producing 50-ounce cookies was interested to inspect whether the the production process is out of control. The process is in control if it produces with variance of the packages between 8.5 and 17.5, otherwise it is out of control and should be adjusted. From a random sample 25 production run, it was found that the variance of the packages is 12.5. Does the data provide any evidence that the process is out of control.
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 7 plants using electricity, which had a mean cost per unit of $64.13 and standard deviation of $8.32, and 12 plants using gas, which had a mean of $60.30 and standard deviation of $8.52. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that u,, the mean cost per unit for plants using electricity, differs from u, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)…

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