Question

(1) State (wording the final conclusion, according to the initial conclusion and the original elam (a) Original claim: The proportion of hourly workers earning over $10.10 per hour is greater than 75%: the Initial conclusion: Reject the mill hypothesis Ho (then, the Final conclusion is:) There sufficient (sample) evidence to the claim that (b) Original claim: An Automotive manufacturer claims the standard deviation for the gas mileage of its models is 3.9 miles per gallon) : the Initial conclusion: Reject the nnll lypothesis H. (then, the Final conclusion is:) There sufficient (sample) evidence to the claim that (c) Original claim. The mean price of new compact car is $22,035 the Initial conclusion: Fail to reject the null hypothesis H. (then, the Final conclusion is:) There sufficient (sample) evidence to the claim that (d) Original claim: (A soft drink maker claims the mean valore content of its beverages is les than 26 calories per serving the Initial conclusion: Fail to reject the null lipothesis Ho (then, the Final conclusion is:) There sufficient (sample) evidence to the claim that

Answer 1

4)

a) From original claim we have hypothesis as :

H0 : P = 0.75 v/s H1: P > 0.75 ( claim )

Here null hypothesis is rejected .

Hence the conclusion is:

There is sufficient evidence to support the claim that the proportion of hours working earning over $10.40 per hour is greater than 75%.

b)

From original claim we have hypothesis as :

H0 : $\sigma$ = 3.9 (claim ) v/s H1: $\sigma$$\neq$ 3.9

Here null hypothesis is rejected .

Hence the conclusion is:

There is no sufficient evidence to support the claim that the standard deviation for the gas mileage of its model is 3.9.

c)

From original claim we have hypothesis as :

H0 : $\mu$ = 822035 (claim ) v/s H1: $\mu$$\neq$ 822035

Here null hypothesis isnot rejected .

Hence the conclusion is:

There is sufficient evidence to support the claim that the mean price of new compact car is 822035.

d)

From original claim we have hypothesis as :

H0 : $\mu$ = 26  v/s H1: $\mu$ < 26 ( claim )

Here null hypothesis is not rejected .

Hence the conclusion is:

There is no sufficient evidence to support the claim that the mean calorie content of it's beverages is less than 26 calories per serving.