A publisher reports that 48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 45% of the readers owned a particular make of car. Is there sufficient evidence at the 0.02 level to support the executive's claim? Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places
In: Statistics and Probability
A sample of 1400 computer chips revealed that 69% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 72% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.10 level.
In: Statistics and Probability
A sample of 1200 computer chips revealed that 20% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 22% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Find the value of the test statistic. Round your answer to two decimal places.
In: Statistics and Probability
Given a bond with a 15-year maturity, 4% coupon rate, and sells at an initial value of 4%, create an excel table to calculate this bond’s duration, modified duration and convexity.
a. If the bond’s yield increases from 4% to 5%, find the percentage decrease of the bond using the approximation formula
b. If the bond’s yield increases from 4% to 5%, find the percentage decrease of the bond using the duration with convexity formula
In: Finance
In: Statistics and Probability
A sample of 1500 computer chips revealed that 29% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 27% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.10 level.
In: Statistics and Probability
In a study of the accuracy of fast food drive-through orders, Restaurant A had 270 accurate orders and 51 that were not accurate.
a. Construct a 90 % confidence interval estimate of the percentage of orders that are not accurate. Express the percentages in decimal form.
______<p<_______
b. Compare the results from part (a) to this 90 % confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.137: 0.137 <p<0.205. What do you conclude?
In: Statistics and Probability
The weights (in ounces) of Tree Frogs from the Southwest are distributed according to N(6.21, .84)N(6.21, .84), while the weights of Northeastern Tree Frogs are distributed according to N(8.14, .67)N(8.14, .67). What percentage of Northeastern Tree Frogs have weights greater than the mean weight of Tree Frogs from the Southwest? Give your answer as a percentage to two decimal places.
In: Statistics and Probability
In a study of the accuracy of fast food drive-through orders,
Restaurant A had 211 accurate orders and 73 that were not
accurate.
a. Construct a 95% confidence interval estimate of the percentage
of orders that are not accurate. (Round to three decimal places as
needed.)
b. Compare the results from part (a) to this 95% confidence
interval for the percentage of orders that are not accurate at
Restaurant B: 0.235<p<0.325. What do you conclude?
In: Statistics and Probability
A sample of 100 workers received an average daily wage of $234. The distribution of the weekly wages is a bell-shaped normal curve. The standard deviation of the daily wages is $12.
(a) Approximately what percentage of workers will earn between $222 and $258?
(b) Approximately what percentage of the workers will earn less than $222 or more than $258?
(c) Approximately how many workers will earn between $222 and $258?
In: Statistics and Probability