Thirty AA batteries were tested to determine how long they would last. The results, to the nearest minute, were recorded. The information is summarised in the following frequency table:                Battery life                (minutes)     Frequency    (f𝑓)359,5−369,5359,5−369,522369,5−379,5369,5−379,533379,5−389,5379,5−389,555389,5−399,5389,5−399,577399,5−409,5399,5−409,555409,5−419,5409,5−419,544419,5−429,5419,5−429,533429,5−439,5429,5−439,511 From the ogive graphs presented below, select the one that represents the given data correctly. Select one:a.  b.  c.  d.

The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally distributed, complete the following statements.(a) Approximately of the batteries have lifetimes between 720 hours and 1000 hours.(b) Approximately 99.7% of the batteries have lifetimes between hours and hours.

A random sample of 15 batteries resulted in an average life of 280 hours with a standard deviation of 24 hours. Assume the battery life to be normally distributed and α = 0.05. Test the following hypothesis:H0: µ = 300 hoursH1: µ ≠ 300 hoursa.reject H0.b.There is no reason to believe that the battery life has changed.c.Accept the null hypothesis.d.Fail to reject the H0.

Comparison of Voltage and Shelf Life of Commercial BatteriesBattery type Maximum voltage Shelf lifeAlkaline 0.9 V 10 yearsNickel 0.75 V 30 yearsLithium 2.0 V 5 yearsScientists and engineers are constantly modifying and experimenting with batteries in order to improve voltage and shelf life. When discussing the quantity of these characteristics, scientists refer to the maximum values for voltage and shelf life. This means that for a random battery, its actual voltage will be at most the maximum voltage and its actual shelf life will be at most the shelf life. For example, it's entirely possible that -------Which choice most effectively uses data from the chart to complete the example?A random Alkaline battery will have a voltage of 0.8 V and a shelf life of 8 years. eliminateA random Lithium battery will always have a significantly higher voltage than a random Nickel battery. eliminateA random Nickel battery will have a voltage of 1.0 V and a shelf life of 40 years. eliminateA random Lithium battery will always have a longer shelf life than a random Alkaline battery.

The life of cell batteries is normally distributed with a mean of 92.3 hours and a standard deviation of 23.5 hours. What is the maximum time (in hours) that the worst 13% of batteries last?          (2 dec pl )

The quality-control manager at a Li-BATTERY factory needs to determine whether the mean life of a large shipment of Li-Battery is equal to the specified value of 375 hours. The process standard deviation is known to be 100 hours. A random sample of 64 batteries indicates a sample mean life of 350 hours. State the null hypotheses. Mu = 375 Mu ≤ 375 Mu = 350 Mu ≥ 350