2 QUESTIONS.. PLEASE GIVE CLEAR ANSWERS. NO WORK NEEDED. ZOOM IN IF NEEDED. THAN

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2 QUESTIONS.. PLEASE GIVE CLEAR ANSWERS. NO WORK NEEDED. ZOOM IN IF NEEDED. THANK YOU!

You are testing a claim and incorrectly use the normal sampling distribution instead of the t-sampling distribution. Does this make it more or less likely to reject the null hypothesis? Is this result the same no mater whether the test is left-tailed, right-tailed, or two-tailed? Explain your reasoning. Is the null hypothesis more or less likely to be rejected? Explain. of freedom less than 30, the tail of the curve are thicker for a distribution. Therefore, if you incorrectly use a standard normal sampling distribution, the area under the curve at the tails will be what it would be for the t-test, meaning the critical value(s) will lie the mean. Is the result the same? The result is different. With a left- and right-tailed case, the tail thickness does not in a two-tailed case, the tail thickness does affect the location of the critical value. The result is the same. In each case, the tail thickness affects the location of the critical value(s). The result is different. With a two-tailed case, the tail thickness does not affect the location of the critical value, however, in a left- and right-tailed case, the tail thickness does affect the location of the critical value. The result the same. In each case, the tail thickness does not affect the location of the critical value(s). A random sample of 76 eighth grade students scores on a national mathematics assessment test has a mean score of 278. This test result prompts a state school administrator to declare that the mean score state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 30. At alpha = 0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identity H_0 and H_a. Choose the correct answer below. A. H_0: mu = 275 H_a: mu > 275 (claim) B. H_0: mu lessthanorequalto 275 (claim) H_a: mu > 275 C. H_0: mu greaterthanorequalto 275 (claim) H_a: mu 275 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = (c) Find the P-value. P-value = (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject H_0 Reject H_0 (e) Interpret your decision in the context of the original claim. At the 2% significance level, there enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam's more than 275.

Explanation / Answer

25) more likely , t sampling ,close from , smaller than

option c The result is different. With a two-tailed case, the tail thickness does not affect the location of the critical

26)

option f

H0:275

Ha:>275(claim)

b) test statstic = Z = (278- 275 )/(30 / sqrt76)=0.8717

c) p value p(z>0.8717)= 0.1922

d) fail to reject

e) there is, reject

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