having driven a hybrid car for 4.5 years, a driver believes the car gets more than 33 miles per gallon (mpg). the driver kept records of all car fill-ups and taking a sample of 15 found a sample average of 32.84 mpg and sample standard deviation of 1.86 mpg. assuming that the underlying distribution is normal, what can be concluded at the 0.05 level of significance?

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained.
The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.

p value is calculated using online p value calculator (you will find it by searching online).

p value interpretation: if the null hypothesis is true then the probability that the sample average is greater than 33 mpg is 0.373143.

[ the p value associated with a test is the probability that we obtain the observed value of the test statistic or a value that is more extreme in the direction given by the alternative hypothesis, when H0 is true ].

decision: accept H0 at 5% level of significance as p value >0.05

[level of significance is chosen as 5 %= 0.05]

conclusion : there is insufficient evidence to conclude that the gas mileage is greater than 33 mpg.

Learn more about Probability

brainly.com/question/11234923

#SPJ4