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One Group t-test The population mean is 98.6 The sample is 98.5 99.5 102.3 101.1

ID: 3291293 • Letter: O

Question

One Group t-test

The population mean is

98.6

The sample is

98.5

99.5

102.3

101.1

98.9

100.5

97.7

Answer the following questions:

a

null hypothesis

alt hypothesis

b

mean

c

count

d

stdev

e

s.e.

f

crit t

for a 2-tail for 95% conf.

g

t test

h

Conclusion:

One Group t-test

The population mean is

98.6

The sample is

98.5

99.5

102.3

101.1

98.9

100.5

97.7

Answer the following questions:

a

null hypothesis

alt hypothesis

b

mean

c

count

d

stdev

e

s.e.

f

crit t

for a 2-tail for 95% conf.

g

t test

h

Conclusion:

One Group t-test 6The population mean is 98.6 The sample is 98.5 99.5 101.1 98.9 100.5 97.7

Explanation / Answer

given sample data

98.5,99.5,102.3,101.1,98.9,100.5,97.7

nulhypothesis

H0:u=/ 98.6

alternative hypothesis

H1:U=98.6

mean of given data(x) =99.79

sd= 1.60

n=7

t test = x-u/sd/sqrt(n)

=99.78-98.6/(1.60/sqrt(7)

=1.951241592

standard error =s/sqrt(n)

=1.60/sqrt(7)

=0.6047

The t-critical values for a two-tailed test, for a significance level of alpha= 0.05 are

tc=2.447 and tc=2.447

t value not in rejection region

so,accept null hypothesis( failed to reject null hypothesis)

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