Question

Jack tells Jean that his average drive of a golf ball is 275 yards. Jean is skeptical, she thinks he has overstated is driving distance and asks for substantiation. So Jack takes a random sample of 25 of his drives. The mean of this sample is 264.4 yards.

His driving distance is known to be normally distributed with a population standard deviation of 20 yards.

Test Jean's claim that Jack's driving distance is less than 275 yards at a 0.05 significance level.

Would you write the null hypothesis as follows:

H 0: μ < 275

Group of answer choices

Yes

No

Answer 1

Would you write the null hypothesis as follows:

Ho : < 275;

Answer:

No

Null hypothesis shall always contains either

As the given  ,the null hypothesis as follows: Ho : ​​​​​​​ < 275; This is infact the alternative hypothesis.

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The null and alternative hypotheses are two mutually exclusive statements about a population. A hypothesis test uses sample data to determine whether to reject the null hypothesis.

Null hypothesis (H0)

The null hypothesis states that a population parameter (such as the mean, the standard deviation, and so on) is equal to (​​​​​​​) a hypothesized value. The null hypothesis is often an initial claim that is based on previous analyses or specialized knowledge.

Alternative Hypothesis (H1)

The alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. The alternative hypothesis is what you might believe to be true or hope to prove true.