Which of the following is not an assumption of the t test? The data can be ordinal or nominal
The population distribution of scores should be symmetrical
The population mean (m) is known, but the population stand deviation (s) is not known
all of these statements are true

Here's a list of assumptions, from there you can differentiate between what are assumptions and what aren't on the t-test. Hope this  helps.

T-Test Assumptions:

1. The first assumption made about t-tests is about the measuring scale. A t-test assumes that the scale of measurement applied to the data obtained is on a continuous or ordinal scale, such as the results of an IQ test.

2. The data is obtained from a representative, randomly selected fraction of the overall population, which is the second assumption established.

3. The third assumption is that the data produces a normal distribution, bell-shaped distribution curve when plotted. When a normal distribution is assumed, a condition for acceptance can be specified as a level of probability (alpha level, level of significance, p). In the vast majority of circumstances, a 5% value can be accepted.

4. The fourth assumption is a reasonably large sample size is used. A larger sample size means the distribution of results should approach a normal bell-shaped curve.

5. The final assumption is variance homogeneity. When the standard deviations of samples are almost equal, homogeneous, or equal, variance exists.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt