Question

Use technology and a t-test to test the claim about the population mean i at the given level of significance at using the given sample statistics. Assume the population is normally distributed Claim: H > 72; « = 0.05 Sample statistics: X = 73.7, 5 = 3.3, n = 26 What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: 272 OB. Ho: = 72 Hau<72 H:#72 OC. H: 72 OD. Ho: HS72 HA=72 HA >72 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed) What is the P-value of the test statistic? P-value = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. ООО A. Reject Ho. There is enough evidence to support the claim. B. Fail to reject Ho. There is enough evidence to support the claim. C. Fail to reject Ho. There is not enough evidence to support the claim

Answer 1

We have i = 73.7 S = 3.3 n= 26 and a = 0.05 The null hypothesis to be tested is H: US 72 and the alternative is Hul> 72 The test statistic is X - _ 73.7-72 t= S 3.3 Th 2.63 26 The p-value can be obtained from t distribution with 25 degrees of freedom. And it is P(t > 2.63) = 0.007 Since p-value is less than the significance level specified, Reject Hi There is enough evidence to support the claim

Answer 2

The 24 consonant sounds comprise six stops (plosives): p, b, t, d, k, g; the fricatives f, v, θ (as in thin), ð [eth] (as in then), s, z, ∫ [esh] (as in ship), Ʒ (as in pleasure), and h; two affricatives: t∫ (as in church) and dƷ (as the j in jam); the nasals m, n, ŋ (the sound that occurs at the end of words such as young); the lateral l; the postalveolar or retroflex r; and the semivowels j (often spelled y) and w. These remain fairly stable, but Inland Northern American differs from RP in two respects: (1) r following vowels is preserved in words such as door, flower, and harmony, whereas it is lost in RP; (2) t between vowels is voiced, so that metal and matter sound very much like British medal and madder, although the pronunciation of this t is softer and less aspirated, or breathy, than the d of British English.