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____ [38]
3 years ago
6

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It

is believed that the machine is underfilling the bags. A 24 bag sample had a mean of 414 grams with a standard deviation of 15. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the P-value of the test statistic.
Physics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

P-value of the test statistic is 2.499

Explanation:

given data:

size sample is 24

sample mean is 414 gm

standard deviation is 15

Null hypotheis is

H_0: \mu = 420 gm

H_1 \mu< 420

level of significance is 0.01

from test statics

t = \frac{\hat x - \mu}{\frac{s}{\sqrt{n}}}

degree od freedom is  =  n -1

df = 24 -1 = 13

t = \frac{414 - 420}{\frac{15}{\sqrt{24}}}

t = -1.959

from t table critical value of t at 0.1 significane level and 23 degree of freedom  is 2.499

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