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According to the historical data, the life expectancy in the United States is equal to the life expectancy in Japan. A new study has been made to see whether this has changed. Records of individuals from the United States who died recently are selected at random 250. The individuals lived an average of 76.7 years with a standard deviation of 5.5 years. Records of 255 individuals from Japan who died recently are selected at random and independently. The 255 individuals lived an average of 77.5 years with a standard deviation of 5.1 years. Assume that the population standard deviation of the life expectancy can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.5 level of significance, is there enough evidence to support the claim that the life expectancy, (mu)mean of population 1 , in the United States is not equal to the life expectancy,(mu)mean of population 2 , in Japan anymore? Perform a two-tailed test.
State the null hypothesis?
State the alternative hypothesis?
The type of test statistic?
The value of the test statistic?
The p value?
Can we support the claim?
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
Out of the 109 males, 42% preferred Pepsi and out of the 53 females, 40% preferred Pepsi. Pepsi wanted to test to determine if the males preferred Pepsi more than females.
Choose any Statistic business problem and develop a problem statement which can be addressed with survey research. Prepare a 10-13 question survey to collect primary data regarding your selected problem statement.
Hypothesis Testing: We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.
If the least squares equation for sales data going from 1984 to 1990 is Y1 = 10 + 1.3X (in $ millions) found using the coded method, what is the plot on the straight line for 1988? (x and y values)
Items coming off a production line are categorized as good (G), slightly blemished (B), and defective (D), and the percentages are 80%, 15% and 5%, respectively.
A hypothesis test is to be used to help determine if there is a difference between the proportion of 2 year college students and private university students that work at least 20 hours per week.
Replacement times for new Ford Taurus GL automobiles are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years.
Assume that a sample is drawn and z(α/2) = 1.65 and σ = 35. Answer the following questions. (A) If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?
Identify each variable in the formula for the binomial probability density function. Also, explain what the fraction: n! / (n-x)!x! calculates.
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank.
Given that this sample is extremely large, can the responses be considered to be representative of the population of the United States? Explain.
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