Question

QUESTION 5 A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 1) Find the point estimate: 2) At the 0.01 significance level, test the claim that the mean weight is less than 14 ounces Hypothesis T-value p-value the following decision is correct? we don't reject HO, we don't have enough evidence to conclude that Ha is true 3)( give assumption if need it) Probability Plot of C Normal 95% CI Mn 40 Sa 4 N 5 54 30 13.5 14.0 145 15.0 15.5 C1 Descriptive Statistics 99% Upper Bound for u SIDev SE Mean N Mean 8 14,050 0,346 0,122 14,417 mean of C Test T-Value P-Value 0,652 waa

Answer 1

5)
The statistic software output for this problem is:

One sample T hypothesis test: : Mean of variable Ho: = 14 HA: < 14 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat data 14.05 0.12247449 7 0.40824829 P-value 0.6524

Point estimate = 14.05

H₀ : μ = 14
H_A : μ < 14

T-value = 0.408

P-value = 0.6524

Yes