A local politician running for reelection claims the mean prison time for car thieves is less than the required 6 yrs. A sample of 80 convicted car thieves was randomly selected and the mean length of prison time was found to be 5.5 yrs. with a standard deviation of 1.25 yrs. alpha=0.05
State the claim mathematically. Is the claim the null or alternative hypothesis?
State your hypotheses.
Determine the test of significance (t-test or z-test) and justify your choice.
State the standardized test statistic.
State the p-value.
State the correct decision of the test.
Interpret the decision in the context of the claim.
A local politician running for reelection claims the mean prison time for car thieves is less...
A local politician running for reelection claims the mean prison time for car theives is less than the required 4 yrs. A sample of 80 convicted car theives was randomly selected and the mean length of prison time was found to be 3.5 yrs. with a population standard deviation of 1.25 yrs. alpha=.05, test the politician’s claim
+ S do Холеро A local politician, running for reelection, claims that the mean prison time for car thieves is less mes louho than the required 5 years. A sample of 20 convicted car thieves was randomly selected, and the mean length of prison time was found to be 4 years and 6 months with a standard deviation of 1 year and 3 months. At the 0.05 level of significance, test the politician's claim Assume that the prison time for...
A humane society claims that less than 35% of U.S. households own a dog. In a random sample of 401 U.S. households,152 say they own a dog. A a=0.03, is there enough evidence to support the society's claim? (a) Write the claim mathematically and identify Upper H0 and Upper HaHa. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis, and (e)...
1) The state of CT claims that the average time in prison is 15 years. A random survey of 75 inmates revealed that the average length of time in prison is 16.4 years with a standard deviation of 6.7 years. Conduct a hypothesis to test the state of CT's claim. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. Keep...
A credit card company claims that the mean credit card debt for individuals is greater than $ 5,000. You want to test this claim. You find that a random sample of 34 cardholders has a mean credit card balance of $ 5,228 and a standard deviation of $ 550. At alpha equals 0.10, can you support the claim? Complete parts (b) through (e) below. Assume the population is normally distributed. (b) Find the critical value(s) and identify the rejection region(s)....
A bank claims that the mean waiting time in line is less than 4.1 minutes. A random sample of 60 customers has a mean of 4 minutes. Assuming a population standard deviation of 0.6 minute, test the bank's claim with an ? = 0.05 level of confidence. ?0 = ___________________________________ ?? = ___________________________________ Test Statistic = __________________________ Alpha level of significance= __________________ Classical Critical Value = ____________________ P-value = _______________________________ ________Conclusion: A) reject ?0 B) fail to reject ?0 ________Interpretation:...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At alpha=0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and...
A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of 20 customers has a mean of 3.3 minutes with a standard deviation of 0.8 minute. If a = 0.05, test the store's claim. Assumption: ? Parameter: ? Hypothesis: ? Test Statistic: ? Reject- Region: ? Calculated Test Statistic: ? Conclusion: ? P-value: ?
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11 4 minutes. A random sample of 34 dive durations has a mean of 12 2 minutes and a standard deviation of 23 minutes. At a=001 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state (b) Use technology to find the P-value. Find the standardized test statistic, (Round to...
A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 28 round trip flights from New York City to Los Angeles, the mean price is $502 with a standard deviation of $111. At α = 0.10, is there enough evidence to support the travel analyst’s claim? Identify the null and alternative hypotheses and label the claim. State whether to use a...