Question

Segments ~ Clementine is a kind of mandarin introduced into Florida by the United States Department of Agriculture in 1909. Historically, on average, clementine have 10.25 segments. A fruit lover bought 100 clementine and found that there were 10.66 mean number of segments with a standard deviation of 2.0712. The fruit lover wonders if the actual mean number of segments is more than the historic value and wants to carry out a hypothesis test. What are the null and alternative hypothesis? Question 2 options: Null hypothesis Alternative hypothesis 1. μ = 10.25 2. x⎯⎯ = 10.66 3. μ > 10.25 4. x⎯⎯ > 10.66 5. μ > 10.66 6. x⎯⎯> 10.25 7. μ ≠ 10.25 8. x⎯⎯ ≠ 10.66

Answer 1

Answer:

Step-by-step explanation:

The null hypothesis is the hypothesis that is assumed to be true. It is an expression that is the opposite of what the researcher predicts.

The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected.

From the given situation,

Historically, on average, clementine have 10.25 segments. This is the null hypothesis.

The fruit lover wonders if the actual mean number of segments is more than the historic value. This is the alternative hypothesis.

Therefore, the correct null and alternative hypotheses are

H0: μ = 10.25 and HA: μ > 10.25