Listed below are speeds (mi/h) measured from southbound traffic on i-280 near cupertino, california (based on data from sigalert). this simple random sample was obtained at 3: 30 pm on a weekday. use the sample data to construct a 95% confidence interval estimate of the population standard deviation. 62 61 61 57 61 54 59 58 59 69 60 67a.) 4.7 mi/h< < 5.6 mi/h

b.) 2.9 mi/h< < 6.9 mi/h

c.) 3.1 mi/h< < 8.5 mi/h

d.) 1.6 mi/h< < 4.9 mi/h

e.) 5.4 mi/h< < 9.2 mi/h

Option (B) is the correct answer to the following question.

Step-by-step explanation:

Step-1: We have to find the Mean of the series.

The series is Given in the question 62 61 61 57 61 54 59 58 59 69 60 67.

Step-2: We have to find the Standard Deviation.

Let Standard Deviation be x.

Formula of Standard Deviation is:

Put value in formula of Standard Deviation,

= 40.75

Step-3: Then, we have to find the critical value by chi-square.

Then, find the confidence interval which is 95%.

, 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

v,jhvljh,b.b; hk; ljujb,vuvccklokll; k,m,km,

step-by-step explanation: