In a test of the hypothesis
upper h 0 : mu = 10 versus upper h subscript a baseline : mu not = 10 a sample of n= 50 observations possessed mean x overbar = 10.8 and standard deviation s =3.3.
find and interpret the? p-value for this test.
the? p-value for this test is =.? (round to four decimal places as? needed.) interpret the result.
choose the correct answer below.
a. there is sufficient evidence to reject upper h 0 for alphagreater than0.09.
b. there is sufficient evidence to reject upper h 0 for alphaless than0.09.
c. there is insufficient evidence to reject upper h 0 for alphaequals0.15.

Step-by-step explanation:

Given that

sample size =n= 50

x bar = sample mean = 10.8

s = sample std deviation = 3.3

Mean difference = 50-10 = 40

Std error of sample = std dev / sqrt n=

Since population std dev is not known, we have to use t test

Test statistic t = Mean diff/std error =

df = 39

p value = 0.0000

Since p < 0.09 our significance level, we reject our null hypothesis.

A. There is sufficient evidence to reject Upper H 0 for alpha greater than 0.09

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950