Does where you live affect your insurance rate? The mean auto insurance rate for 24 drivers in a large city is $1,818 per car with a standard deviation of $366 while the mean rate for 28 drivers in a rural area is $1,633 with a standard deviation of $242. At α = 0.01, can we conclude that drivers in the large city pay higher insurance rates than those in the rural area, assuming the population variances are equal?
T-Distribution Table
a. Calculate the test statistic.
t=t=
Round to three decimal places if necessary
b. Determine the critical value(s) for the hypothesis test.
Round to three decimal places if necessary
c. Conclude whether to reject the null hypothesis or not based on the test statistic.
Reject
Fail to Reject
Does where you live affect your insurance rate? The mean auto insurance rate for 24 drivers...
The restaurant manager is testing the bartender's ability to pour 45 mL of spirits correctly into a mixed drink. The manager has the bartender pour water into 12 shot glasses to test their ability to pour the correct amount of spirits: 48 45 44 43 46 47 42 46 47 45 47 49 Note: The data appears to be approximately normally distributed. Test the bartender's ability to pour 45 mL at the 20% level of significance. T-Distribution Table a. Calculate...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 4.8 and 0.8, respectively. (You may find It useful to reference the appropriate table: z table or t table) Fot" 5 4.5 against Hu > 4.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and...
The mean annual tuition and fees in the 2013-2014 academic year for a sample of 24 private colleges in California was $37,000 with a standard deviation of $7800. A dot plot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the α=0.10 level of significance and P-value method with the Critical Values for the Student's t Distribution...
A sample of 71 observations is selected from a normal population. The sample mean is 24, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 23 H1 : μ > 23 a. Is this a one- or two-tailed test? (Click to select) One-tailed test Two-tailed test b. What is the decision rule? (Round the final answer to 3 decimal places.) (Click to select) Reject Accept H0 and (Click to select) accept reject H1 when z > ....
You may need to use the appropriate technology to answer this question. Commercial real estate prices and rental rates suffered substantial declines in 2008 and 2009.T These declines were particularly severe in Asia; annual lease rates in Tokyo, Hong Kong, and Singapore declined by 40 % or more. Even with such large declines, annual lease rates in Asia were still higher than those in many cities in Europe. Annual lease rates for a sample of 30 commercial properties in an...
CNNBC recently reported that the mean annual cost of auto insurance is 995 dollars. Assume the standard deviation is 295 dollars, and the cost is normally distributed. You take a simple random sample of 13 auto insurance policies. Round your answers to 4 decimal places. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the probability that one randomly selected auto insurance is less than $1019? a simple random...
Where it says “the type of test statistic , chose one)
the options are Z, t , Chi square , F” thank
you!
Spg 2019 (2192) Quiz 6: Chapters 8, 11 5 of 8 A manufacturer claims that the lifeti , of its light bulbs is 43 months. The standard deviation of these lifetimes is 4 months. Seventeen bulbs are t random, and their mean lifetime is found to be 42 months. Assume that the population is normalily conclude, at...
A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 21 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.84 ounces and 0.3 ounces, respectively. If we assume that the discharge amounts are normally_distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge, μ, differs...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 4.8 and 0.8, respectively. (You may find it useful to reference the appropriate table: z table or t table) HOT #3 4.5 against Ha: > 4.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and...
CNNBC recently reported that the mean annual cost of auto insurance is 996 dollars. Assume the standard deviation is 298 dollars, and the cost is normally distributed. You take a simple random sample of 35 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X ~ N( b. What is the distribution ofT?i~NC,) c. What is the probability that one randomly selected auto insurance is less than $1037? d. a simple random sample...