Final answer:
To determine if the average spending on texts and supplies is the same at a community college and a university, a hypothesis test using a Z-test for two means is conducted with the known population standard deviations.
Step-by-step explanation:
The question refers to conducting a hypothesis test to determine whether the mean amounts spent on texts and supplies by students at a community college and a local four-year university are statistically the same. To perform this hypothesis test, we first state the null hypothesis (H0) that the means are equal, and the alternative hypothesis (Ha) that the means are not equal.
We then calculate the test statistic using the sample means, population standard deviations, and sample sizes. After finding the test statistic, we compare it to the critical value from the Z-distribution to determine whether we can reject the null hypothesis. In this scenario, since the population standard deviations are known, we use a Z-test for comparing two means.
To begin the hypothesis test, let's assume we've performed the calculations and obtained a Z-score. If the Z-score is beyond the critical value for the desired confidence level, we reject the null hypothesis indicating that there is a significant difference in the mean amounts spent by the students at the two types of institutions.
If the Z-score is within the critical value, we do not reject the null hypothesis, suggesting that there is no significant difference in the spending.
The complete question is:amber asked a random sample of 53 5353 students at her college how much they would pay for a chocolate bar. the results are summarized in the table above. based on this information, approximately how many of the 8 , 800 8,8008, comma, 800 students at amber's college would pay at least $ 1.00 $1.00dollar sign, 1, point, 00 for a chocolate bar? is: