Nine items of a sample had the following values 45 ,47 ,50 ,48 ,47 ,49 ,53 ,51.Does the mean of 9 items differ significantly from the assumed population mean 47.5 ?

Welcome back.

and 2 others joined a min ago.

28kviews

written 6.4 years ago by

teamques10 ★ 65k

• modified 2.5 years ago

engineering mathematics

ADD COMMENT EDIT

2 Answers

3.0kviews

written 6.3 years ago by

teamques10 ★ 65k

• modified 6.2 years ago

$\text{First we calculate $\bar{X}$ and s$^2$.}$

$\text{$\bar{X}$=$\frac{(45+47+50+48+47+49+53+51+52)}{9}$ =49.11}$ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline X & 45 & 47 & 50 &52 &48 &47 &49 &53 &51 &SUM \\ \hline X - \bar{X} &-4.11 &-2.11 &0.89 &2.89 &-1.11 &-2.11 &-0.11 &3.89 &1.89 \\ \hline (X – \bar{X})^2 &16.89 &4.45 &0.79 &8.35 &1.23 &4.45 &1.21 …

Create a free account to keep reading this post.

and 5 others joined a min ago.

ADD COMMENT EDIT

796views

written 2.5 years ago by

teamques10 ★ 65k

Sixteen oil tins are taken at random from an automatic filling machine. The mean weight of the tins is 14.5kg with a standard deviation of 0.40kg. Does the sample mean differ significantly from the intended weight of 16kg? (Given t for 15 d.f. at 5% level is 2.131)

Create a free account to keep reading this post.

and 3 others joined a min ago.

ADD COMMENT EDIT

Community

Content

Company