please explain these,

1) A sprinkler manufacturer claims that the average activating temperatures is at least 131 degrees. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133 degrees. Assume the population standard deviation is 3.3 degrees. Find the standardized test statistic and the corresponding p-value.

z-test statistic = 3.43, p-value = 0.0006

z-test statistic = -3.43, p-value = 0.0003

z-test statistic = 3.43, p-value = 0.0003

z-test statistic = -3.43, p-value = 0.0006

2) A consumer group claims that the mean acceleration time from 0 to 60 miles per hour for a sedan is 7.9 seconds. A random sample of 33 sedans has a mean acceleration time from 0 to 60 miles per hour of 7.6 seconds. Assume the population standard deviation is 2.3 seconds. Find the standardized test statistic and the corresponding p-value.

z-test statistic = -0.749, p-value = 0.454

z-test statistic = 0.749, p-value = 0.454

z-test statistic = -0.749, p-value = 0.227

z-test statistic = 0.749, p-value = 0.227

3) A pharmaceutical company claims that the average cold lasts an average of 8.4 days. They are using this as a basis to test new medicines designed to shorten the length of colds. A random sample of 106 people with colds, finds that on average their colds last 8.5 days. The population is normally distributed with a population standard deviation of 0.9 days. At =0.02, what type of test is this and can you support the company's claim using the p-value?

Claim is null, reject the null and cannot support claim as the p-value (0.253) is less than alpha (0.02)

Claim is alternative, fail to reject the null and support claim as the p-value (0.126) is less than alpha (0.02)

Claim is alternative, reject the null and support claim as the p-value (0.126) is greater than alpha (0.02)

Claim is null, fail to reject the null and support claim as the p-value (0.253) is greater than alpha (0.02)

4) A business receives supplies of copper tubing where the supplier has said that the average length is 26.70 inches so that they will fit into the business' machines. A random sample of 48 copper tubes finds they have an average length of 26.75 inches. The population standard deviation is assumed to be 0.15 inches. At =0.05, should the business reject the supplier's claim?

No, since p>, we reject the null and the null is the claim

Yes, since p>, we fail to reject the null and the null is the claim

Yes, since p<, we reject the null and the null is the claim

No, since p>, we fail to reject the null and the null is the claim