MAT 152 Online Summer 2018 lson kitz &1 18 136 PM Quiz: Quiz-Chapter 10 Submit Q

Question

MAT 152 Online Summer 2018 lson kitz &1 18 136 PM Quiz: Quiz-Chapter 10 Submit Quiz This Question: 1 pt 9 of 14 (8 compiete) This Quiz: 14 pts possible Calcum is essential to tree growth becaunse it promotes the formaton of wood and mant cell walsi dats table Complete parts (a) though (c) below Cick the oon to view the daia table Data Taeie 0 12 mgl 0 12 moL b) Construct a 98% conidence inerval about the sample mean concenthation of caloum piation The lower bound is The upper bound Round to tour decimal places as needed) Pint Done k to select your answer DOLL 9

Explanation / Answer

Here I write R-code for given problem in which I combine all sample observations in x vector.
Here,
We have to test
H0: mu=0.12
H1: mu>0.12 or mu<0.12

Where mu is concentration of calcium.

The R-code is as follows:

x=c(0.071,0.085,0.067,0.201,0.117,0.178,0.124,0.212,0.306,0.104)
t.test(x,mu=0.12,conf.level=0.98)

And the output is:

> t.test(x,mu=0.12,conf.level=0.98)

One Sample t-test

data: x
t = 1.0953, df = 9, p-value = 0.3018
alternative hypothesis: true mean is not equal to 0.12
98 percent confidence interval:
0.07824005 0.21475995
sample estimates:
mean of x
0.1465

a)

Here P-value is 0.3018 which is greater than 0.02 thus we accept null hypothesis
at 2% l.o.s.

b)

Also the 98% confidence interval for mean is:

C.I.=[0.07824005,0.21475995]

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