Question
How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 80 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 72, S = 22. Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 80.
H0: μ ≤ 80 and H1: μ > 80.
H0: μ ≥ 80 and H1: μ < 80.
H0: ≥ 80 and H1: < 60.
H0: = 52 and H1: ≠ 52.
H0: μ ≤ 80 and H1: μ > 80.
H0: μ ≥ 80 and H1: μ < 80.
H0: ≥ 80 and H1: < 60.
H0: = 52 and H1: ≠ 52.
Answers
GPT-4o mini
To test whether the number of tissues used during a cold is less than 80, we need to set up our null and alternative hypotheses.
- The null hypothesis (H0) typically represents the status quo or a statement of no effect. In this case, it suggests that the mean number of tissues used is at least 80.
- The alternative hypothesis (H1) represents what we are trying to demonstrate, which is that the mean number of tissues used is less than 80.
Therefore, the appropriate hypotheses for this test are:
- **H0:** μ ≥ 80 (the mean number of tissues used during a cold is 80 or more)
- **H1:** μ < 80 (the mean number of tissues used during a cold is less than 80)
Thus, the correct answer is:
**H0: μ ≥ 80 and H1: μ < 80.**
- The null hypothesis (H0) typically represents the status quo or a statement of no effect. In this case, it suggests that the mean number of tissues used is at least 80.
- The alternative hypothesis (H1) represents what we are trying to demonstrate, which is that the mean number of tissues used is less than 80.
Therefore, the appropriate hypotheses for this test are:
- **H0:** μ ≥ 80 (the mean number of tissues used during a cold is 80 or more)
- **H1:** μ < 80 (the mean number of tissues used during a cold is less than 80)
Thus, the correct answer is:
**H0: μ ≥ 80 and H1: μ < 80.**