Write the null and alternative hypotheses for the following example. Determine if the example is a case ofa two-tailed, a left-tailed, or a right-tailed test.To test if the mean credit card debt of college seniors is less than 1000 dollars.Ho: μ = 1000 dollars, H₁: μ<1000 dollars, left-tailed testHo: μ=1000 dollars, H₁: µ>1000 dollars, right-tailed testHo: μ=1000 dollars, H₁: µ<1000 dollars, right-tailed test○ Ho: μ=1000 dollars, H₁: µ>1000 dollars, left-tailed testHo: μ=1000 dollars, H₁: µ‡1000 dollars, two-tailed test

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Answered: Write the null and alternative…

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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A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 3 of 3: Draw a conclusion and interpret the decision.
Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that 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: u = 24 not claim Η: μ 24 claim The hypothesis test is a one-tailed test. Part: 1/5 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):
One-Way Airfares The average one-way airfare from Pittsburgh to Washington D.C. is $236. A random sample of 19 one-way fares during a particular month had a mean of $208 with a standard deviation of $43. At α=0.05, is there sufficient evidence to conclude a difference from the stated mean?
Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 22.5. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator. Part: 0 / 4 Part 1 of 4 (a) State the hypotheses and identify the claim. H,: (Choose one) ▼ O
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You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 190 men, and 113 own cats. You sample 50 women, and 24 own cats. Find p (p-bar), as a decimal, rounded to two decimal places. Find the test statistic, rounded to two decimal places. Submit Question 9:24 PM 5/20/2021
An archer’s standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.a. What type of test should be used?b. State the null and alternative hypotheses.c. Is this a right-tailed, left-tailed, or two-tailed test?
A researcher was doing a study for a new Coronavirus Drug and conducted a hypothesis test like this one: H0: μ = 18 Ha: μ ≠ 18 a. What type of test is this? left-tailed right-tailed two-tailed b. She obtained a test statistic of 0.75, with a p-value of 0.4648. So she concluded that her true mean must be equal to 18. Is this interpretation correct? Yes No Why or why not?
A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material. Sample from new material: mean is 98.064 , SD is 5.6 and sample size is 13 Sample from old material: mean is 95.282 , SD is 5.8 and sample size is 78 We do not know population standard deviations. Consider the test ?0:????−????=2H0:μnew−μold=2 vs. ?0:????−????>2H0:μnew−μold>2 What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places.
What is the test statistic?(3 decimal places) What is the critical value(s)?(3 decimal places) Reject or don’t reject?
A doctor tests a claim that an average adult above 50 consumes no more than 3-1/2 pills per day. Standard Dev is 0.7. A sample of 45 adults avg 3.72 per day. Test the claim. -Standard Dev of sample mean -Z-score for sample mean -P-Value

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