Question

For problems 9, 10, 11, and 12, solve the problems by answering a) State the claim (use a sentence), b) H, H and place the claim with either one of the two. c) Test statistic, show and label the formula you use. d) Find critical value(s), and reject Ho or fail to reject Ho. You may use ap-value. e) Write a formal conclusion and final statement

​​​​​​​Please show hand written work for everything including formulas etc.

Answer 1

Given that, population standard deviation (o)=0.08 sample standard deviation (S)=0.0804, sample size (n) = 30 population variance (0^2)=0.0064 sample variance (s^2) = 0.0065 null, Ho: 0 =0.08; alternate, H1:0 >0.08 level of significance, alpha = 0.05 from standard normal table,right tailed chisar^2 alpha/2 42.557 since our test is right-tailed reject Ho, if chisar^2 0 > 42.557 we use test statistic chisar^2 =(n-1)*s^2/0^2 chisar^2 cal = (30 - 1) * 0.0065 / 0.0064 = 29*0.0065/0.0064 = 29.4531 critical value the value of chisqr^2 alpha at los 0.05 with df (n-1)=29,42.557 we got chisar^2 = 29.453 & right tailed chisar^2 alpha/2 42.557 make decision hence value of chisor^2 cal < chisor^2 alpha and here we do not reject Ho chisor^2 p_value =0.4417 (a) to check weather standard deviation is above 0.08 ounces (b) null, Ho: 0 <= 0.08; alternate, H1:0 >0.08 (c) test statistic: 29.4531, p-value:0.4417 (d) critical value: 42.557 (e) decision: do not reject Ho, the standard deviation of weight of the golf balls is more than 0.08 ounces