Activity 3. T-test (Hypothesis Testing). 2. A company claims that its 8-ounce low-fat yogurt cups contain, on average, at most 150 calories per cup. A consumer agency who wants to purchase and donate it in a certain community wanted to check whether or not this claim is true. A random sample of 10 such cups produced the following data on calories. 147 159 153 146 144 161 163 153 143 158 Test using a 2.5% significance level whether the company's claim is true. Assume that the numbers of calories for such cups of yogurt produced by this company have an approximate normal distribution. (Use P-value method) Given: ? = 150 ? =7 ? = 10 ? = 0.025 0? 25% ? = 152.7 ?= 147+159+153+146+144+161+163+153+143+158 = 1,527 10 10 = 152.7 (samplanea] 147-152.7= (-5.7)? = 32.49 159-1527= (6.3)? = 39.69 153-152.7= (0.3) = 0.09 490.1 =49.01 10 146-152.7= (-6.7) =44.89 144-152.7= (-8.7)? =75.69 V49.01 = 7 (slalla?Mevia?iol 161-152.7= (8.3) =68.89 163-152.7= (10.3) = 106.09 153-152.7= (0.3)? = 0.09 143-152.7= (-9.7)? = 94.09 158-152.7= (5.3) = 28.09 Ho: ? = 150 (The mea? calo?iesis 150 pe? cup) Ha ? # 150 (The mea? calo?iesis ?if fe?e?/?om150 pe? cup)