The Scottsdale fire department aims to respond to fire calls in 7 minutes or less, on average. Response times are normally distributedwith a standard deviation of 1 minute 42 seconds. Would a sample of 18 fire calls with a mean response time of 7 minutes 22 secondsprovide sufficient evidence to show that the goal is not being met at a = 01?(a) Choose the appropriate hypotheses.a. Ho: u≤ 7 min vs H₁: 7 min, Reject Ho if Zeale > 2.326b. Ho: μz 7 min vs H₁: μ<7 min, Reject Ho if Zeale > 2.326(b) Calculate the value of the test statistic. (Round your answer to 2 decimal places.)Answer is complete but not entirely correct.zcalc1.03 (c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)Answer is complete but not entirely correct.p-value0.1508

(a)That is, there is no evidence to conclude that the population mean is greater than 7.That is,…

Answered: The Scottsdale fire department aims 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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show step by step. Alice takes as her hypothesis that the average time it takes to run a mile is 8.12 minutes. In a recentevent, 25 people ran a mile with an average time of 8.8 minutes and a standard deviation of 1.1 minutes.If Alice sets her significance level to 5%, should she reject her hypothesis? (a) What is Alice’s null hypothesis? What should she set μ0 equal to for the sake of calculations? (b) Alice’s test is a sample of 25 runners. If her hypothesis is true, what is the mean and standard deviation of the sampling distribution? Remember, Alice is hypothesizing about a mean. (c) Since this is a mean, should we use the normal table or the t-distribution table? (d) Which type of sample mean would cause Alice to reject her null? A mean larger than her hypothesis (right-tailed), a mean less than her hypothesis (left-tailed), or either? (two-tailed) (e) Alice will only rethink her position if something happens with less than 5% probability. What T-score will a sample have to…
2. The average pre-school cost for tuition fees last year was P74,200. The following year, 20 institutions had a mean of P13,100 and a standard deviation of P2,250. Is there sufficient evidence at a = 0.10 level of significance to conclude that the mean cost has increased? Solution: Step 1: State the hypotheses. Ho: H;: Step 2: The level of significance and critical region. a = df = and tertical = Step 3: Compute for the value of one sample t test. teomputed =, Step 4: Decision rule. Step 5: Conclusion.
#4 Are women and men equally absent at PS 160? Test at .10 significance level. Women: Average number of days absent = 14.7; standard deviation = 5.0; n = 12 Men: Average number of days absent = 8.3; standard deviation = 4.0; n = 18
It is reported in USA Today that the average flight cost nationwide is $595.711. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $595.711. The hypotheses for this situation are as follows: Null Hypothesis: µ 595.711. A random sample of 30 flights shows an average cost of $584.559 with a standard deviation of $59.3656. What is the test statistic and p-value for this test? 1) Test Statistic: 1.029, P-Value: 0.156 2) Test Statistic: -1.029, P-Value: 0.844 3) Test Statistic: -1.029, P-Value: 0.156 4) Test Statistic: -1.029, P-Value: 1.688 5) Test Statistic: 1.029, P-Value: 0.844
Please answer parts A,B and C. Thank you.
You wish to test the following claim (Hα) at a significance level of α=0.02 Ho : μ = 65.6 Hα : > μ = 65.6 You believe the population is normally distributed and you know the standard deviation is σ=17.7. You obtain a sample mean of M=69.9 for a sample of size n=68. What is the test statistic for this sample? What is the p-value for this sample? The p-value is less than, greater than or equal to α? This test statistic leads to a decision to... The final conclusion is...
The Toylot company makes an electric train with a motor that it claims will draw an average of no more than 0.8 amps under a normal load. A sample of nine motors were tested, and it was found that the mean current was x = 1.32 amps, with a sample standard deviation of s = 0.44 amps. Perform a statistical test of the Toylot claim. (Use a 1% level of significance.)What are we testing in this problem? single meansingle proportion What is the level of significance?State the null and alternate hypotheses. H0: p = 0.8; H1: p ≠ 0.8H0: p ≤ 0.8; H1: p > 0.8 H0: ? ≤ 0.8; H1: ? > 0.8H0: ? ≠ 0.8; H1: ? = 0.8H0: p ≠ 0.8; H1: p = 0.8H0: ? = 0.8; H1: ? ≠ 0.8 What sampling distribution will you use? What assumptions are you making? The standard normal, since we assume that x has a normal distribution with known ?.The Student's t, since we assume that x has a normal distribution with known ?. The standard normal, since we assume that x has a normal distribution with unknown ?.The…
3.3.15 Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3293.7 g and a standard deviation of 551.3 g. Newborn females have weights with a mean of 3000.6 g and a standard deviation of 590.5 g Who has the weight that is more extreme relative to the group from which they came; a male who weighs 1700 g or a female who weighs 1700 g? V has the weight that is more extreme. Since the z score for the male is z= and the z score for the female isz= the (Round to two decimal places.)
Consider statistics on plasma levels for a random sample of nine 17 year old males and six 17 year old females. Test if two means different, µ1≠µ2, at 5%. Hint. Use a degrees of freedom of 5. Male Female Sample size 9 6 Sample mean 3.259 1.413 Sample standard deviation 0.4 0.22 a. At the 0.05 level of significance, the data provide sufficient evidence to conclude that average male plasma amount is not different from the average female plasma amount. b. At the 0.05 level of significance, the data provide insufficient evidence to conclude that average female plasma amount is equal to the average male plasma amount. c. At the 0.05 level of significance, the data provide sufficient evidence to conclude that average male plasma amount is different from the average female plasma amount. d. At the 0.05 level of significance, the data provide insufficient evidence to conclude that average male plasma amount is different from the average female plasma amount.
A random sample of 100 observations from a population with standard deviation 39 yielded a sample mean of 107. Complete parts a throughc below. a. Test the null hypothesis that u = 100 against the alternative hypothesis that u > 100, using a =0.05. Interpret the results of the test. What is the value of the test statistic? (Round to two decimal places as needed.) z=
O decreased by 3 times O increased by 2 times QUESTION 21 A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test Ho:H= 10 against H :µ<10- the company randomly sampled 36 bottles and found that the average amount of liquid held by the bottles was 9.6 ounces with a standard deviation of 0.7 ounce. What conclusion would you make at 0.01 level of significance? O Reject Ho because -3.43 < -2.326 O Do not reject Ho because -3.43 <-2.326 O Reject Ho because -3.43 <-2.576 O Do not reject Ho because -3.43 < -2.576 QUESTION 22 The following information represents the humidity level (x) and the moisture content (y) for 12 days: Σy 144 Iy² = 1802 Σx 507 Ex² = 22265 Exy = 6314 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers TOSHIBA HUMAX తెలంగాటనకు
A cell phone manufacturer claims that the average battery life of its newest flagship smartphone is exactly 20 hours. Javier believes the population mean battery life is less than 20 hours. He tests this claim by selecting a random sample of 33 phones of this model. Javier found that the sample mean battery life is 19.5 hours with a sample standard deviation of 1.9 hours. The test statistic t for a hypothesis test of H0:μ=20 versus Ha:μ<20 is t≈−1.51 with 32 degrees of freedom. If 0.05<p-value<0.10 and the level of significance is α=0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean battery life of the smartphone is less than 20hours? Select all that apply: A) Reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. C) There is…

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