Question

In: Math

The capacities (in ampere-hours) were measured for a sample of 120 batteries. The average was 178...

The capacities (in ampere-hours) were measured for a sample of 120 batteries. The average was 178 and the standard deviation was 12.

a.)

Find a 95% lower confidence bound for the mean capacity of this type of battery. Round the answer to two decimal places.

b.) An engineer claims that the mean capacity is greater than 175 ampere-hours. With what level of confidence can this statement be made? Express the answer as a percent and round to two decimal places.

Solutions

Expert Solution


Related Solutions

In a random sample of 120 car batteries produced by a special method, the sample average...
In a random sample of 120 car batteries produced by a special method, the sample average lifetime was 135 hours and the sample standard deviation was 12 hours. An engineer claims that the mean lifetime is between 132.452 and 137.548 hours. Assume data is normally distributed. (a) What level of confidence can this statement be made with? (b) Create a confidence interval for the population variance and explain how you did it. State your conclusion.
Twelve batteries were tested to see how many hours they would last. The frequency is Hours...
Twelve batteries were tested to see how many hours they would last. The frequency is Hours Frequency (f) Midpoint (Xm) f*Xm C f (X - X̅ )² f (X - X̅ )² 1-3 1 1+3/2 = 4/2 = 2 1x2 = 2 1 27.5625 27.5625 4-6 4 4+6/2= 10/2= 5 4x5 = 20 1+4 = 5 5.0625 20.25 7-9 5 7+9/2 = 16/2 = 8 5x8 = 40 1+4+5 = 10 0.5625 2.8125 10-12 1 10+12 = 22/2 = 11...
A battery company claims that their batteries last on average 60 hours. The standard deviation of...
A battery company claims that their batteries last on average 60 hours. The standard deviation of the battery life is 4 hours. Assuming that their claim is true, what would be the lowest 5% of values we would get if we were to sample 100 batteries and find their mean life length? Please show me how to do it, thank you!
A battery company claims that their batteries last on average 60 hours. The standard deviation of...
A battery company claims that their batteries last on average 60 hours. The standard deviation of the battery life is 4 hours. Assuming that their claim is true, what would be the lowest 5% of values we would get if we were to sample 100 batteries and find their mean life length?
Suppose that 500 batteries made by a certain manufacturer lasted on the average 2420 hours with...
Suppose that 500 batteries made by a certain manufacturer lasted on the average 2420 hours with a standard deviation of 300 hours. Do you have enough evidence to reject the manufactuer's claim that the average life is at least 2500 hours? Test the claim at significance level a = 0.05. (a) State clearly what your null and alternative hypotheses are. (b) Find the critical region of the test. (c) Find the p-value of the test. (d) What is your conclusion?
A battery company claims that its batteries last an average of 100 hours under normal use....
A battery company claims that its batteries last an average of 100 hours under normal use. After several complaints that the batteries do not last this long, an independent testing laboratory decided to test the company’s claim with a random sample of 42 batteries. The data from the 42 batteries appeared to be unimodal and symmetric with a mean 97 hours and a standard deviation of 12 hours. What sample size would allow us to increase our confidence level to...
The following frequency table summarizes the number of hours worked by a sample of 120 students...
The following frequency table summarizes the number of hours worked by a sample of 120 students in the same week. Hours worked by students Class (hours) Frequency (0, 10] 10 (10, 20] 60 (20, 30] 40 30 or more 10 Total 120 Show/hide advanced buttonsParagraph stylesBoldItalicUnordered listOrdered listLinkUnlinkInsert or edit imageInsert or edit an audio/video fileRecord audioRecord videoManage files A) How many students worked more than 10 hours but less than or equal to 30 hours? B) What is the...
A researcher measured the number of hours of community service performed during an average week in...
A researcher measured the number of hours of community service performed during an average week in a sample for three adolescent and young adult age groups. The results are shown below.   14 year olds                17 year olds                21 year olds             5                                              8                                              3                   6                                                12                                            5           3                                                7                                              7             5                                              4                                              4                              Conduct a one-way ANOVA to determine if there are any differences between the groups on community service....
A clothing store is open each day for 12 hours. On average, the store gets 120...
A clothing store is open each day for 12 hours. On average, the store gets 120 customers per day. Round each answer below to the nearest hundredth. a. Find the probability that the store gets 140 or more customers today. b. Find the probability that the store gets 15 or more customers in the first hour of business. c. Find the probability that the store gets 40 or more customers in the first three hours of business. **Please show me...
Hip surgery: In a sample of 120 hip surgeries of a certain type, the average surgery...
Hip surgery: In a sample of 120 hip surgeries of a certain type, the average surgery time was 136.3 minutes, with a standard deviation of 22.3 minutes. Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 Construct a 95% confidence interval for the mean surgery time for this procedure. Round the answers to one decimal place. A 95% confidence interval for the mean surgery time for this procedure is
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT