random sample of size n = 20 with mean 91.7 and a standard deviation of 20.4. Assume the population is normally distributed. You wish to test the following claim at a significance level of a = 0.05. H.:µ = 78 Ha: µ + 78 a. What is the test statistic? (Report answer accurate to four decimal places.) test statistic = b. What is the p-value? (Report answer accurate to four decimal places. ) p-value = c. The p-value is... greater than a less than (or equal to) a

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A weight loss program sells diet bars that claim to have 78 calories. You decide to test this claim and obtain a
random sample of size n =
normally distributed.
20 with mean 91.7 and a standard deviation of 20.4. Assume the population is
You wish to test the following claim at a significance level of a = 0.05.
H.:µ = 78
Ha: µ + 78
a. What is the test statistic? (Report answer accurate to four decimal places.)
test statistic =
b. What is the p-value? (Report answer accurate to four decimal places.)
p-value =
c. The p-value is...
greater than a
less than (or equal to) a
d. This test statistic leads to a decision to...
reject Ho
O fail to reject Ho
accept Ho
e. As such, the conclusion is that...
There is sufficient evidence to conclude that the calories in this diet bar is not 78.
There is not sufficient evidence to to conclude that the calories in this diet bar is not 78.
There is sufficient evidence to conclude that the calories in this diet bar is 78.
O There is not sufficient evidence conclude that the calories in this diet bar is 78.
f. As such, the conclusion is that...
If the sample mean number of calories of this diet bar is equal to 91.7, then there is a probability of
0.0073 of getting a population mean of 78 or more extreme
The p-value is the probability of a rejecting the mean number of calories of this diet bar is 78 from a
sample of 20.
O If the population mean number of calories of this diet bar is equal to 78, then there is a probability of
0.0073 of getting a sample mean of 91.7 or more extreme from a sample of size 20
The p-value is the probability of a Type II Error
Transcribed Image Text:A weight loss program sells diet bars that claim to have 78 calories. You decide to test this claim and obtain a random sample of size n = normally distributed. 20 with mean 91.7 and a standard deviation of 20.4. Assume the population is You wish to test the following claim at a significance level of a = 0.05. H.:µ = 78 Ha: µ + 78 a. What is the test statistic? (Report answer accurate to four decimal places.) test statistic = b. What is the p-value? (Report answer accurate to four decimal places.) p-value = c. The p-value is... greater than a less than (or equal to) a d. This test statistic leads to a decision to... reject Ho O fail to reject Ho accept Ho e. As such, the conclusion is that... There is sufficient evidence to conclude that the calories in this diet bar is not 78. There is not sufficient evidence to to conclude that the calories in this diet bar is not 78. There is sufficient evidence to conclude that the calories in this diet bar is 78. O There is not sufficient evidence conclude that the calories in this diet bar is 78. f. As such, the conclusion is that... If the sample mean number of calories of this diet bar is equal to 91.7, then there is a probability of 0.0073 of getting a population mean of 78 or more extreme The p-value is the probability of a rejecting the mean number of calories of this diet bar is 78 from a sample of 20. O If the population mean number of calories of this diet bar is equal to 78, then there is a probability of 0.0073 of getting a sample mean of 91.7 or more extreme from a sample of size 20 The p-value is the probability of a Type II Error
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