The marketing department for a hand calculator claims the battery pack performs 20,000 calculations before it has to be recharged. The quality control manager for the manufacturer is entrusted with validating the claim that the battery pack works as long as the specifications state in order to secure a large order from a key customer. A test of 114 battery packs yields an average of 19,695 calculations with a standard deviation of 1,103. 1) Formulate the appropriate null and alternative hypotheses.
2) Calculate the appropriate test statistic and p-value.
3) How is the p-value computed for a two-sided alternative given a null hypothesis H0 : μ = μ0 for the mean of a normal distribution with known variance?

question:

could we have options?

theres no picture: /

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)