Answer:
There is not any solid evidence provided by Patrice to reject the fast food chain's claim.
Step-by-step explanation:
As Patrice weighs the next 16 random orders of onion rings before she eats them and finds the sample mean is 112.4 grams and the standard deviation is 7.63 grams so here
sample size = 16
sample mean = 112.4
standard deviation = 7.63
Formula for test statistic:
t = ( sample mean - weight ) / standard error of mean
Formula for standard error of mean:
standard error of mean = standard deviation / sqrt (sample size)
therefore by putting the values in the above formula, we get
standard error of mean = 7.63 / sqrt(16)
Now
t = ( 112.4-114 ) / ( 7.63 / sqrt(16) )
= -0.84
p-value = P (z < -0.84) = 0.201
Therefore it fails to reject null hypothesis because p-value > 0.1
Hence, there is not any solid evidence provided by Patrice to reject the fast food chain's claim.
