Question

In: Statistics and Probability

1. An engineer wishes to determine the width of a particular electronic component. If she knows...

1. An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.9 mm, how many of these components should she consider to be 90% sure of knowing the mean will be within ± 0.5 ± 0.5 mm? 7 40 24 19 142

2. A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.24 and 24 minutes. What is the margin of error in this report?

3. If n=22, ¯xx¯ (x-bar)=46, and s=6, find the margin of error at a 99% confidence level (use at least three decimal places)


Solutions

Expert Solution


Related Solutions

The usable lifetime of a particular electronic component is known to follow an exponential distribution with...
The usable lifetime of a particular electronic component is known to follow an exponential distribution with a mean of 6.1 years. Let X = the usable lifetime of a randomly selected component. (a) The proportion of these components that have a usable lifetime between 5.9 and 8.1 years is __. (b) The probability that a randomly selected component will have a usable life more than 7.5 years is __. (c) The variance of X is __.
An engineer wishes to determine if the stopping distance for midsize automobiles is different from that...
An engineer wishes to determine if the stopping distance for midsize automobiles is different from that of compact automobiles at 75 mph. The data is shown below. Automobile 1 2 3 4 5 6 7 8 9 10 Midsize 188 190 195 192 186 194 188 187 214 203 Compact 200 211 206 297 198 204 218 212 196 193 a) State the null and alternate hypotheses. b) Use a Wilcoxon rank sum test to determine if there is a...
Let's approach a problem from two perspectives: An engineer believes a particular component has a fatigue...
Let's approach a problem from two perspectives: An engineer believes a particular component has a fatigue life of 10000. In other words, that component should be expected to fail after 10000 uses. He takes a random sample of 41 components and obtains a sample mean of 9900 with a standard deviation of 2250. Is there any evidence that he is overestimating the fatigue life of the components? (a) What are the null and alternative hypotheses for his test? H0: Ha:...
1) A student wishes to determine the association between Hours Studied and Test Score. She also...
1) A student wishes to determine the association between Hours Studied and Test Score. She also wants to determine the association between Hours of Sleep before the Test and the Test Score. Hours Studied 1 3 2.5 4 5 5 3 4 Hours Slept 6 7 7 8 8 8 5 6.5 Test Score 72 80 78 90 94 96 88 84 Which factor (hours studied or hours slept) is a stronger association with test score? (Show data to support...
1. Anna knows that she is fat, she should work out but she is often lazy...
1. Anna knows that she is fat, she should work out but she is often lazy and does not want to go to gym. What should Anna experiencing in her mind and why ? Explain 3 things Anna might be motivated to do because of it
1) An engineer who is studying the tensile strength of a steel alloy knows that tensile...
1) An engineer who is studying the tensile strength of a steel alloy knows that tensile strength is approximately normally distributed with σ = 60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a) Compute a two-sided confidence interval on the mean tensile strength at a 95% confidence level b) Test the hypothesis that the mean strength is 3500 psi at α= 0.05, and provide a conclusion statement c) If we keep the...
T-Test Problems (show your work) A researcher wishes to determine if a particular drug affects pilot...
T-Test Problems (show your work) A researcher wishes to determine if a particular drug affects pilot reaction time to air traffic controller instructions. The researcher has 10 pilots. The pilots are observed in normal performance and their reaction times are recorded. Then the pilots are administered the drug, observed again, and their reaction times are recorded. The expectation is that the drug will reduce reaction time. Pilot Trial 1 Time (sec) Trail 2 Time (sec) A .83 .69 B .74...
1. Feedback is an essential component of game interfaces. Play an electronic game for at least...
1. Feedback is an essential component of game interfaces. Play an electronic game for at least 1 hour. How does this game provide feedback to the player through interface design? Is there any missing information that you feel should have been conveyed? What would need to be modified in order to convey this information? 2. How do aesthetics play a part in providing feedback to the player? Analyze the aesthetics of a game’s interface. Do the aesthetic components enhance or...
7. A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She...
7. A farmer wishes to determine if a new fertilizer increases her tomato crop yield. She lays out seven plots and in each plot plants two tomato plants. One plant is given the new fertilizer and the other is given the fertilizer the farmer is currently using. The table below has the yield (in pounds). Plot 1 2 3 4 5 6 7 New    5.3       6.1        5.7        8.4       3.7        9.4        9.2 Old     4.9        5.9        6.0        6.9       2.8        8.2        7.2 Make...
1. An RN was searching through the electronic medical record at the hospital in which she...
1. An RN was searching through the electronic medical record at the hospital in which she worked. A co-worker came up and asked what she was doing. The RN replied, “My husband had his blood drawn a couple of days ago, and I wanted to see what his results were”. Is this a HIPAA violation? Explain your answer 2. Dr. Smart called the unit and asked the nurse to look up the patient’s current EKG results. The nurse notices that...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT