Question

Test the claim about the population mean, H, at the given level of significance using the given sample statistics Claim: μ-50: α: 0.05; σ. 3.06. Sample statistics. x: 48.8, n: 78 Identify the null and alternative hypotheses. Choose the correct answer below A. Ho : μ#50 Ha H 50 B. Ho : μ>50 Ha 50 OD. Ho: H- 50 Ha : μ < 50 F. Ho : μ-50 Ha: μ#50 E. Ho : μ<50 Ha H 50 C Calculate the standardized test statistic. The standardized test statistic is 3.46 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice (Round to two decimal places as needed.) O A. The critical value is O B. The critical values aret

Answer 1

Solution :

$\mu$= 50

$\bar x$ =48.8

$\sigma$ =3.06

n = 78

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 50

H_a : $\mu$     $\neq$ 50

Test statistic = z

= ($\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n

= (48.8-50) /3.06 / $\sqrt$ 78

= -3.46

this is two tail test

so

Degrees of freedom = df = n - 1 = 78 - 1 = 77

$\alpha$ = 0.05

t_{$\alpha$ ,df} = t_0.05,77 =1.66

critical value 1.66

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.