Question

Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ# 25; α:0.05 Sample statistics: x 29.9, s-44, n 11 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 O A. Reject Ho- There is enough evidence to support the claim. OB. Reject Ho. There is not enough evidence to support the claim. O c. Fail to reject Ho. There is enough evidence to support the claim. O D. Fail to reject Ho There is not enough evidence to support the claim. Click to select your answers

Answer 1

H₀: μ = 25

H₁: μ ≠ 25

α = 0.05

x̅ (sample mean) = 29.9

n (sample size) = 11

σ (population standard deviation) = 4.4

Test Statistic : x - μ/ σ / √n

= 3.69

Test Statistic = 3.69

α = 0.05

Left-tailed area corresponding to z-score of -3.6935 = 0.00011

Right-tailed area corresponding to z-score of 3.6935 = 0.00011

p-value = Left-Tailed Area + Right-Tailed Area = 0.00022

Note: p-value is less than or equal to α.

The correct option is A

If p-value is less than or equal to α then reject the null hypothesis.

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.