Question

Salem and Galan developed a new method for determining the amount of morphine hydrochloride in tablets.¹⁷ An analysis of tablets with different nominal dosages gave the following results (in mg/tablet).

100-mg tablets 99.17 94.31 95.92 94.55 93.83

60-mg tablets 54.21 55.62 57.40 57.51 52.59

30-mg tablets 28.51 26.25 25.92 28.62 24.93

10-mg tablets 9.06 8.83 9.08

(a) For each dosage, calculate the mean and standard deviation for the mg of morphine hydrochloride per tablet. (b) For each dosage level, assuming that X and s² are good approximations for μ and σ², and that the population is normally distributed, what percentage of tablets contain more than the nominal amount of morphine hydrochloride per tablet?

Answer 1

As ou mean deviation for lenomg tablets (۱) (۲» را وا ماء (۱۷) ۱ رو (اور راک ارور رو ارسال به بالا بره . و To of doods M3 99.19 + 94:31+95924 g4 55-99-33 M 477.78 95.551 coded 95.551 Loved it ose ) Mearn deviatione ferr bong tablets M = 54.21+ 55.62+57.40 + 57:51 252-5g M - 27-1.33 53.466 lt 111) mean deviation for 30 ing tablet M = 28.51€ 26.35 +1592+ 28.623449 5 M = 134 23 = 26.845 - 4 w) mean deviation for long tablet M = 9.064 6:43 +9:02 = 26-37- 8:29.24

* stlandard deviation for 100mg Tablet »DV3(2-54)? - V(417-18-95.5ep = 170.93 11) For bong Tablet 8 = V(277.33-55-452 - 99.9 11) For 30 mg tablet 8 - 134.23-2845)% = 48:19 11) For long Tablet da V(26.97-8.99)>= 10:38 Ans b l. content of morphin hydrochleroide. 1) In 60mg tablet (1) In 30 mg tablet 30x45:55 = 28.66% 60895.55 = 57.31% 10 100 Indicates that lomg tablet But in 10mg tablet contain more morphin hydrochloride 10x95555 = 9.55% Itham noma Percentage 100