Question

Use the data set here (Links to an external site.) for this question. The data set contains a sample showing the number of times a website was visited/viewed in one day; each observation corresponds to one day.

a) The point estimate for the mean number of website views is [ Select ] .

b) The sample standard deviation is [ Select ] .

c) Suppose that the sample mean equals the true mean. Suppose that website views follow a Poisson distribution. The probability of having a day having 80 views or fewer is [ Select ].

d) Using the data set and the technique covered in this course the 80th percentile for the number of website views is [ Select ].

e) The estimated standard error is [ Select ] .

f) Assume the sample mean and variance are true population values. The probability for this size sample of getting a sample mean greater than 77 is [ Select ] .

g) Assume the sample mean and variance are true population values. The probability for this size sample of getting a sample mean less than 73 is [ Select ] .

h) Now suppose that you have a sample of 50 instead of a sample of the same size as found in your data set. The probability of getting a sample mean less than 75 is [ Select ] .

i) Using a sample of the same size as your sample (not 50 observations), the appropriate margin of error for a 99% confidence interval for the mean number of views is [ Select ] .

j) The 99% confidence interval is [ Select ] .

views 63 95 86 55 79 68 50 78 80 62 100 53 97 65 75 96 88 55 66

Answer 1

Views 63 ها (ح a The boint estimate for the mear number of views is the sample mean = I sa. = 1x1411 74.2632. 0. w The sample standard I 3(x-1) deviation [3x is a n*?]

(e [109517 - 1947-2032]) ? 109517 - 198 74 2632² 2 x 4731.6842 y 18 - 1262.8713 16-2133 c) Let x denotes the website views . X~P(+4 2632). P[x < 80] -1- P[x3 80] 1- PLA84] + [v=82] [2= 74.2632] 80 P(xs.so] - P(xo] 4p [x=1] + P(x+2] ... +P[x=80] 022.2. tot 801 = 0.76823

& The 80th percentile for the no. of views is a 08 P[x <80] = 0.76823 [x2] = 0.80115 u for x=81 is the 30th percentile for the no. of heebsite views