A random sample of n = 755 US cell phone users age 18 and older in May 2011 found that the average number of text messages sent or received per day is 41.5 messages,32 with standard error about 6.1.a. Use the information from the sample to give the best estimate of the population parameter. b. Find a 95% confidence interval for the mean number of text messages.

a)

b) 95% Confidence interval:  (29.5,53.5)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 755

Sample mean = 41.5

Standard Error = 6.1

a) estimate of the population parameter

Parameter of interest:

Mean number of text messages sent or received per day

The population mean is best estimated by the sample mean

b) 95% confidence interval for the mean number of text messages.

95% Confidence interval:

Putting the values, we get,

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.