Question

The owner of a gasolene station wants to study gasolene purchasing habits of motorists at his station. he selects a random sample of 60 motorists during a certain week with the following data. the average amount purchased is 11.3 gallons with a standard deviation of 3.1 gallons. at a 5% significance level, is there sufficient evidence that the mean amount of gasolene purchased by the motorists differs from 10 gallons? b) state the test statistic

Answer 1

To test whether the mean amount of gasoline purchased by motorists differs from 10 gallons, a one-sample t-test can be used. The test statistic is approximately 4.25.

Step-by-step explanation:

To test whether the mean amount of gasoline purchased by motorists differs from 10 gallons, we can use a one-sample t-test. The null hypothesis (H0) is that the mean amount of gasoline purchased is 10 gallons, and the alternative hypothesis (Ha) is that the mean amount of gasoline purchased is different from 10 gallons.

To calculate the test statistic, we can use the formula: t = (sample mean - population mean) / (standard deviation / sqrt(sample size)). Substituting the values, we get: t = (11.3 - 10) / (3.1 / sqrt(60)). Calculating this, we find the test statistic to be around 4.25.