Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the old design. the average speed, in mhz, for the new chips was 495.6, and the standard deviation was 19.4. the average speed for the old chips was 481.2, and the standard deviation was 14.3.can you conclude that the mean speed of the new chips is greater than that of the old chips?

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

: Mean speed of the new chip is the same as the old chip

: Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z=

if we put the numbers then

z= =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950