Question

1. A baseball team claims that the mean length of its games is 2.8 hours. State H0 and Ha

in words and in symbols. Then determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below.

2. An Internet provider is trying to gain advertising deals and claims that the mean time a customer

spends online per day is greater than 23 minutes. You are asked to solve this claim.

​(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the​ claim?

​(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the​ claim?

3. Figure out the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics. Claim: μ=50​; α=0.06​; σ=3.92. Sample​ statistics: x=49.1​, n=67

Identify the null and alternative hypotheses. Choose the correct answer.

4. A random sample of 82 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 286. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this project is more than 280. Assume that the population standard deviation is 39. At α=0.06​, is there enough evidence to support the​ administrator's claim? Complete parts​(a) through​ (e). (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.

5. A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of

62 residential customers has a mean monthly consumption of 890 kWh. Assume the population standard deviation is 122 kWh. At α=0.01​, can you support the​ claim? Complete parts​ (a) through​ (e).

(a) Identify H0 and Ha. Choose the correct answer.

Answer 1

1.

Since , we want to test the claims that the mean length of its games is 2.8 hours.

Therefore , the null and alternative hypothesis is ,

Ho : The mean length of its games is 2.8 hours.

H1 : The mean length of its games is not 2.8 hours.

Symbolically ,

$H_0:\mu=2.8$ hours ( Claim )

$H_1:\mu\neq 2.8$ hours