HomeworkLib
Question

The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on...

The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 6 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 11 seconds provide sufficient evidence to show that the goal is not being met at α = .01?
  
(a) Choose the appropriate hypotheses.
  
a. H0: µ ≤ 5 min vs H1: µ > 5 min, Reject H0 if zcalc > 2.326
b. H0: µ ≥ 5 min vs H1: µ < 5 min, Reject H0 if zcalc > 2.326
  

a
b


  
(b) Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
  
zcalc            
  
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
  
p-value            
  
(d) If α = .01, we would
  

Fail to reject the null hypothesis.
Reject the null hypothesis.
math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1


0 0
Add a comment
Know the answer?
Add Answer to:
The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • please highlight answers The Scottsdale fire department aims to respond to fire calls in 7 minutes...

    please highlight answers The Scottsdale fire department aims to respond to fire calls in 7 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 42 seconds. Would a sample of 18 fire calls with a mean response time of 7 minutes 25 seconds provide sufficient evidence to show that the goal is not being met at a = .01? (a) Choose the appropriate hypotheses. a. Haus 7 min vs Hf u> 7...

  • The recent default rate on all student loans is 5.2 percent. In a recent random sample...

    The recent default rate on all student loans is 5.2 percent. In a recent random sample of 300 loans at private universities, there were 9 defaults. Does this sample show sufficient evidence that the private university loan default rate is below the rate for all universities, using a left-tailed test at α = .01? (a-1) Choose the appropriate hypothesis. a. H0: ππ ≥ .052; H1: ππ < .052. Accept H0 if z < –2.326 b. H0: ππ ≥ .052; H1:...

  • Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies:...

    Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.)   p1      p2      zcalc      p-value      zα/2 +/-    (a-2) Choose the appropriate hypotheses. a. H0:π1 – π2= 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc...

  • Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies:...

    Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα/2 +/- (a-2) Choose the appropriate hypotheses. a. H0:π1 – π2 = 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc > 1.96 b....

  • From her firm's computer telephone log, an executive found that the mean length of 67 telephone...

    From her firm's computer telephone log, an executive found that the mean length of 67 telephone calls during July was 4.32 minutes with a standard deviation of 5.14 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 49 telephone calls whose mean was 2.090 minutes with a standard deviation of 2.766 minutes. (a) Choose the appropriate hypotheses for a right-tailed test. Assume µ1 is the average call length in July and...

  • The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...

    The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.05. (a) What is the level of significance? State the null and alternate...

  • The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish,...

    The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows. Catfish Bass Bluegill Pike 112 91 224 73 In the 5-year interval, did the distribution of fish change at the 0.05 level? (i) State the null and alternate...

  • In a study of 807 randomly selected medical malpractice​ lawsuits, it was found that 497 of...

    In a study of 807 randomly selected medical malpractice​ lawsuits, it was found that 497 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be​ conducted? A. H0: p>0.5 H1: p=0.5 B. H0: p=0.5 H1: p<0.5 C. H0: p≠0.5 H1: p=0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p<0.5 H1: p=0.5 F. H0: p=0.5 H1: p>0.5...

  • The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of ...

    The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.78 ounces with a standard deviation of 0.41 ounce. (a) At the 5 percent level of significance, is the true mean smaller than the specification? Clearly state your hypotheses and decision rule.(Multiple Choice) a. H0: μ ≥ 18. Reject H0 if tcalc > –1.74 b. H1: μ < 18. Reject H1 if tcalc <...

  • Random samples of two species of iris gave the following petal lengths (in cm). x1, Iris virginica 5.1 5.9 4.5 4.9 5.7 4.8 5.8 6.4 5.7 5.9 x2, Iris versicolor 4.5 4.3 4.7 5.0 3.8 5.1 4.4 4.2 (a) Use a...

    Random samples of two species of iris gave the following petal lengths (in cm). x1, Iris virginica 5.1 5.9 4.5 4.9 5.7 4.8 5.8 6.4 5.7 5.9 x2, Iris versicolor 4.5 4.3 4.7 5.0 3.8 5.1 4.4 4.2 (a) Use a 5% level of significance to test the claim that the population standard deviation of x1 is larger than 0.55. What is the level of significance? State the null and alternate hypotheses. H0: σ = 0.55; H1: σ > 0.55...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT